Academic literature on the topic 'Harmonic Analysis/Applications'

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Journal articles on the topic "Harmonic Analysis/Applications"

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Wu, Shan-He, Imran Abbas Baloch, and İmdat İşcan. "On Harmonically(p,h,m)-Preinvex Functions." Journal of Function Spaces 2017 (2017): 1–9. http://dx.doi.org/10.1155/2017/2148529.

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We define a new generalized class of harmonically preinvex functions named harmonically(p,h,m)-preinvex functions, which includes harmonic(p,h)-preinvex functions, harmonicp-preinvex functions, harmonich-preinvex functions, andm-convex functions as special cases. We also investigate the properties and characterizations of harmonically(p,h,m)-preinvex functions. Finally, we establish some integral inequalities to show the applications of harmonically(p,h,m)-preinvex functions.
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Filali, Mahmoud. "Harmonic analysis and applications." Kybernetes 41, no. 1/2 (March 2, 2012): 129–44. http://dx.doi.org/10.1108/03684921211213160.

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Christ, Michael, Detlef Müller, and Christoph Thiele. "Real Analysis, Harmonic Analysis and Applications." Oberwolfach Reports 11, no. 3 (2014): 1861–931. http://dx.doi.org/10.4171/owr/2014/34.

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Christ, Michael, Detlef Müller, and Christoph Thiele. "Real Analysis, Harmonic Analysis, and Applications." Oberwolfach Reports 14, no. 3 (July 4, 2018): 2101–64. http://dx.doi.org/10.4171/owr/2017/34.

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Christ, Michael, Detlef Müller, Christoph Thiele, and Ana Vargas. "Real Analysis, Harmonic Analysis and Applications." Oberwolfach Reports 17, no. 2 (July 1, 2021): 961–75. http://dx.doi.org/10.4171/owr/2020/18.

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Damjanović, Ivana, Frano Tomašević, Ivica Pavić, Božidar Filipović-Grčić, and Alan Župan. "Harmonic Performance Analysis of Static Var Compensator Connected to the Power Transmission Network." Journal of Energy - Energija 67, no. 2 (June 2, 2022): 13–22. http://dx.doi.org/10.37798/201867276.

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The static var compensator (SVC) is a device which is designed to compensate reactive power, increase voltage stability and to reduce voltage fluctuations. Thyristor controlled reactors (TCRs) are composed of reactors in series with bidirectional pair of thyristors. Current through reactors can be continuously controlled by changing the firing angle of thyristor valves, thus the inductive power can be easily controlled. Typical applications of TCRs in AC systems are voltage stabilization and temporary overvoltage reduction, stability improvement, damping of power oscillations and load balancing. In this paper, harmonic performance analysis of SVC equipped with TCRs is presented. SVCs utilizing TCRs generate harmonic currents and therefore it is necessary to determine the effect of harmonics generated by the SVC on the power system and its elements. This includes interaction of the SVC with the system, the SVC performance under balanced and unbalanced operating conditions and finally, evaluation of countermeasures such as installation of harmonic filters. In order to carry out these analysis, it is necessary to determine harmonic characteristics of the network at the point of SVC connection, existing levels of harmonics, and to know appropriate standards regarding acceptable harmonic levels in the power system. Since harmonic distortions in the system are caused by the interaction between SVC and the system, all system contingencies which may affect system’s frequency response should be evaluated. Detailed power system model should be considered to make sure that parallel resonance points of system do not directly coincide with characteristic harmonics from the SVC. Harmonics generated by SVCs are largely dependent on the operating point within the SVC characteristic. A conservative approach is to use the maximum values of harmonics generated within the spectrum irrespective of the operating point. The results of harmonic performance analysis are important for appropriate design of SVC. Harmonic performance analysis related to SVC application which are presented in this paper include the determination of: frequency response of the transmission network impedance required for the specification and design of filters; the effects of SVC generated harmonics on the power system; the overall filter requirements and countermeasures to reduce harmonics to acceptable levels.
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Choe, Boo Rim, Hyungwoon Koo, and Heungsu Yi. "Projections for harmonic Bergman spaces and applications." Journal of Functional Analysis 216, no. 2 (November 2004): 388–421. http://dx.doi.org/10.1016/j.jfa.2004.02.014.

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Odyniec, Michal, and William Overstreet. "New applications of harmonic balance analysis." International Journal of Microwave and Millimeter-Wave Computer-Aided Engineering 5, no. 3 (May 1995): 224–33. http://dx.doi.org/10.1002/mmce.4570050309.

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Ji, Yanpeng, Bin Li, and Jingcheng Sun. "Harmonic Analysis on Torque Ripple of Brushless DC Motor Based on Advanced Commutation Control." Journal of Control Science and Engineering 2018 (2018): 1–9. http://dx.doi.org/10.1155/2018/3530127.

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This paper investigates the relationship between current, back electromotive force (back-EMF), and torque for permanent-magnet brushless DC (PM BLDC) motors under advanced commutation control from the perspective of harmonics. Considering that the phase current is the influencing factor of both torque and torque ripple, this paper firstly analyzes the effects of advanced commutation on phase current and current harmonics. And then, based on the harmonics of the phase current and back-EMF, the torque harmonic expressions are deduced. The expressions reveal the relationship of harmonic order between the torque, phase current, and back-EMF and highlight the different contribution of individual torque harmonic to the total torque ripple. Finally, the proposed harmonic analysis method is verified by the experiments with different speed and load conditions.
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Mekhamer, S. F., A. Y. Abdelaziz, and S. M. Ismael. "Design Practices in Harmonic Analysis Studies Applied to Industrial Electrical Power Systems." Engineering, Technology & Applied Science Research 3, no. 4 (August 11, 2013): 467–72. http://dx.doi.org/10.48084/etasr.309.

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Power system harmonics may cause several problems, such as malfunctions of electrical equipment, premature equipment failures and plant shutdowns. Accordingly, mitigation of these harmonics is considered an important target especially for industrial applications where any short downtime period may lead to great economic losses. Harmonic analysis studies are necessary to analyze the current and voltage harmonic levels and check if these levels comply with the contractual or international standard limits. If the studies reveal that the preset limits are exceeded, then a suitable harmonic mitigation technique should be installed. Harmonic analysis studies in the industrial electrical systems are discussed in many references. However, a comprehensive procedure for the steps required to perform a harmonic study is rarely found in the literature even though it is strongly needed for design engineers. This paper provides a comprehensive procedure for the steps required to perform a harmonic study in the form of a flowchart, based on industrial research and experience. Hence, this paper may be considered as a helpful guide for design engineers and consultants of the industrial sector.
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Dissertations / Theses on the topic "Harmonic Analysis/Applications"

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Wood, Peter J. "Homological algebra in operator spaces with applications to harmonic analysis." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1999. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape9/PQDD_0011/NQ38284.pdf.

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Yeung, Henry. "Computer based analysis and design of new passive filter arrangements for industrial applications." Thesis, University of Sunderland, 2002. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.369861.

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West, Edward G. S. M. Massachusetts Institute of Technology. "Analysis of harmonic distortion in an Integrated Power System for naval applications." Thesis, Massachusetts Institute of Technology, 2005. http://hdl.handle.net/1721.1/33594.

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Thesis (Nav. E.)--Massachusetts Institute of Technology, Dept. of Ocean Engineering; and, (S.M.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 2005.
Includes bibliographical references (p. 89-91).
This research quantifies the voltage distortion over the broad range of operating conditions experienced by a Naval warship. A steady state model of an Integrated Power System (IPS) was developed in a commercially available power system simulation tool. The system chosen for this study was a three-phase, 4160 VAC, 80 MW power system with a 450 VAC bus to supply traditional ship service loads. Sensitive loads, such as combat systems equipment, are isolated from the harmonic content of the 450 volt bus via solid state inverters. Power generation for this system included two 30 MW and two 10 MW generators. The sizing of these generators was based on operating configurations that would result in the best fuel efficiency under the most common loading conditions. Model components were simulated and compared to data recorded for the U.S. Navy's Full Scale Advanced Development (FSAD) test system for the IPS at the Philadelphia Land Based Engineering Site (LBES). The propulsion motor used in the simulations was developed based on the advanced induction motor installed at LBES.
(cont.) Various loading conditions, including battle, cruise and anchor were simulated for both 10⁰F and 90⁰F ambient design conditions and with propulsion loads ranging from 0% to 100%. Numerous system configuration changes were implemented to determine their impact on system harmonics. These included operating the propulsion converter front end rectifiers in both controlled (varying commutation angle) and uncontrolled (diode bridge) configurations; implementation of both twelve and six pulse rectification; and installation of a tuned passive 5th harmonic filter. The simulation results are compared to both IEEE Std 519-1992 and Mil-Std 1399.
by Edward G. West.
S.M.
Nav.E.
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Boavida, de Brito Pedro. "Homotopy sheaves on manifolds and applications to spaces of smooth embeddings." Thesis, University of Aberdeen, 2014. http://digitool.abdn.ac.uk:80/webclient/DeliveryManager?pid=215123.

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This thesis explores connections between homotopy sheaves, manifold calculus of functors and operad theory. We argue that there is a deep overlap between these, and as evidence we give a new operadic description of the homotopy theoretical obstructions to deforming a smooth immersion into a smooth embedding. We then discuss an application which improves on some aspects of recent results of Arone-Turchin and Dwyer-Hess concerning spaces of long knots and high-dimensional variants. Along the way, we define fibrewise complete Segal spaces, a mild generalisation of Rezk's notion of complete Segal spaces. Also in the context of Segal spaces, we define right fibrations and prove a Grothendieck construction theorem for presheaves with values in spaces. Finally, we prove a result of independent interest which states that weakly k-reduced operads (those with contractible space of operations in arity j ? k) can be strictified when k = 0, 1.
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Johnston, Ann. "Markov Bases for Noncommutative Harmonic Analysis of Partially Ranked Data." Scholarship @ Claremont, 2011. http://scholarship.claremont.edu/hmc_theses/4.

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Given the result $v_0$ of a survey and a nested collection of summary statistics that could be used to describe that result, it is natural to ask which of these summary statistics best describe $v_0$. In 1998 Diaconis and Sturmfels presented an approach for determining the conditional significance of a higher order statistic, after sampling a space conditioned on the value of a lower order statistic. Their approach involves the computation of a Markov basis, followed by the use of a Markov process with stationary hypergeometric distribution to generate a sample.This technique for data analysis has become an accepted tool of algebraic statistics, particularly for the study of fully ranked data. In this thesis, we explore the extension of this technique for data analysis to the study of partially ranked data, focusing on data from surveys in which participants are asked to identify their top $k$ choices of $n$ items. Before we move on to our own data analysis, though, we present a thorough discussion of the Diaconis–Sturmfels algorithm and its use in data analysis. In this discussion, we attempt to collect together all of the background on Markov bases, Markov proceses, Gröbner bases, implicitization theory, and elimination theory, that is necessary for a full understanding of this approach to data analysis.
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Brooks, Evan B. "Fourier Series Applications in Multitemporal Remote Sensing Analysis using Landsat Data." Diss., Virginia Tech, 2013. http://hdl.handle.net/10919/23276.

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Researchers now have unprecedented access to free Landsat data, enabling detailed monitoring of the Earth's land surface and vegetation.  There are gaps in the data, due in part to cloud cover. The gaps are aperiodic and localized, forcing any detailed multitemporal analysis based on Landsat data to compensate.   Harmonic regression approximates Landsat data for any point in time with minimal training images and reduced storage requirements.  In two study areas in North Carolina, USA, harmonic regression approaches were least as good at simulating missing data as STAR-FM for images from 2001.  Harmonic regression had an R^2"0.9 over three quarters of all pixels. It gave the highest R_Predicted^2 values on two thirds of the pixels.  Applying harmonic regression with the same number of harmonics to consecutive years yielded an improved fit, R^2"0.99 for most pixels.   We next demonstrate a change detection method based on exponentially weighted moving average (EWMA) charts of harmonic residuals. In the process, a data-driven cloud filter is created, enabling use of partially clouded data.  The approach is shown capable of detecting thins and subtle forest degradations in Alabama, USA, considerably finer than the Landsat spatial resolution in an on-the-fly fashion, with new images easily incorporated into the algorithm.  EWMA detection accurately showed the location, timing, and magnitude of 85% of known harvests in the study area, verified by aerial imagery.   We use harmonic regression to improve the precision of dynamic forest parameter estimates, generating a robust time series of vegetation index values.  These values are classified into strata maps in Alabama, USA, depicting regions of similar growth potential.  These maps are applied to Forest Service Forest Inventory and Analysis (FIA) plots, generating post-stratified estimates of static and dynamic forest parameters.  Improvements to efficiency for all parameters were such that a comparable random sample would require at least 20% more sampling units, with the improvement for the growth parameter requiring a 50% increase. These applications demonstrate the utility of harmonic regression for Landsat data.  They suggest further applications in environmental monitoring and improved estimation of landscape parameters, critical to improving large-scale models of ecosystems and climate effects.
Ph. D.
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Bishop, Shannon Renee Smith. "Gabor and wavelet analysis with applications to Schatten class integral operators." Diss., Georgia Institute of Technology, 2010. http://hdl.handle.net/1853/33976.

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This thesis addresses four topics in the area of applied harmonic analysis. First, we show that the affine densities of separable wavelet frames affect the frame properties. In particular, we describe a new relationship between the affine densities, frame bounds and weighted admissibility constants of the mother wavelets of pairs of separable wavelet frames. This result is also extended to wavelet frame sequences. Second, we consider affine pseudodifferential operators, generalizations of pseudodifferential operators that model wideband wireless communication channels. We find two classes of Banach spaces, characterized by wavelet and ridgelet transforms, so that inclusion of the kernel and symbol in appropriate spaces ensures the operator is Schatten p-class. Third, we examine the Schatten class properties of pseudodifferential operators. Using Gabor frame techniques, we show that if the kernel of a pseudodifferential operator lies in a particular mixed modulation space, then the operator is Schatten p-class. This result improves existing theorems and is sharp in the sense that larger mixed modulation spaces yield operators that are not Schatten class. The implications of this result for the Kohn-Nirenberg symbol of a pseudodifferential operator are also described. Lastly, Fourier integral operators are analyzed with Gabor frame techniques. We show that, given a certain smoothness in the phase function of a Fourier integral operator, the inclusion of the symbol in appropriate mixed modulation spaces is sufficient to guarantee that the operator is Schatten p-class.
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Huang, Tao. "REGULARITY AND UNIQUENESS OF SOME GEOMETRIC HEAT FLOWS AND IT'S APPLICATIONS." UKnowledge, 2013. http://uknowledge.uky.edu/math_etds/10.

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This manuscript demonstrates the regularity and uniqueness of some geometric heat flows with critical nonlinearity. First, under the assumption of smallness of renormalized energy, several issues of the regularity and uniqueness of heat flow of harmonic maps into a unit sphere or a compact Riemannian homogeneous manifold without boundary are established. For a class of heat flow of harmonic maps to any compact Riemannian manifold without boundary, satisfying the Serrin's condition, the regularity and uniqueness is also established. As an application, the hydrodynamic flow of nematic liquid crystals in Serrin's class is proved to be regular and unique. The natural extension of all the results to the heat flow of biharmonic maps is also presented in this manuscript.
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Sevi, Harry. "Analyse harmonique sur graphes dirigés et applications : de l'analyse de Fourier aux ondelettes." Thesis, Lyon, 2018. http://www.theses.fr/2018LYSEN068/document.

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La recherche menée dans cette thèse a pour but de développer une analyse harmonique pour des fonctions définies sur les sommets d'un graphe orienté. À l'ère du déluge de données, de nombreuses données sont sous forme de graphes et données sur ce graphe. Afin d'analyser d'exploiter ces données de graphes, nous avons besoin de développer des méthodes mathématiques et numériquement efficientes. Ce développement a conduit à l'émergence d'un nouveau cadre théorique appelé le traitement de signal sur graphe dont le but est d'étendre les concepts fondamentaux du traitement de signal classique aux graphes. Inspirées par l'aspect multi échelle des graphes et données sur graphes, de nombreux constructions multi-échelles ont été proposé. Néanmoins, elles s'appliquent uniquement dans le cadre non orienté. L'extension d'une analyse harmonique sur graphe orienté bien que naturelle, s'avère complexe. Nous proposons donc une analyse harmonique en utilisant l'opérateur de marche aléatoire comme point de départ de notre cadre. Premièrement, nous proposons des bases de type Fourier formées des vecteurs propres de l'opérateur de marche aléatoire. De ces bases de Fourier, nous en déterminons une notion fréquentielle en analysant la variation de ses vecteurs propres. La détermination d'une analyse fréquentielle à partir de la base des vecteurs de l'opérateur de marche aléatoire nous amène aux constructions multi-échelles sur graphes orientés. Plus particulièrement, nous proposons une construction en trames d'ondelettes ainsi qu'une construction d'ondelettes décimées sur graphes orientés. Nous illustrons notre analyse harmonique par divers exemples afin d'en montrer l'efficience et la pertinence
The research conducted in this thesis aims to develop a harmonic analysis for functions defined on the vertices of an oriented graph. In the era of data deluge, much data is in the form of graphs and data on this graph. In order to analyze and exploit this graph data, we need to develop mathematical and numerically efficient methods. This development has led to the emergence of a new theoretical framework called signal processing on graphs, which aims to extend the fundamental concepts of conventional signal processing to graphs. Inspired by the multi-scale aspect of graphs and graph data, many multi-scale constructions have been proposed. However, they apply only to the non-directed framework. The extension of a harmonic analysis on an oriented graph, although natural, is complex. We, therefore, propose a harmonic analysis using the random walk operator as the starting point for our framework. First, we propose Fourier-type bases formed by the eigenvectors of the random walk operator. From these Fourier bases, we determine a frequency notion by analyzing the variation of its eigenvectors. The determination of a frequency analysis from the basis of the vectors of the random walk operator leads us to multi-scale constructions on oriented graphs. More specifically, we propose a wavelet frame construction as well as a decimated wavelet construction on directed graphs. We illustrate our harmonic analysis with various examples to show its efficiency and relevance
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Uppalapati, Sunitha. "Development of Application Program for Harmonic Analysis." MSSTATE, 2002. http://sun.library.msstate.edu/ETD-db/theses/available/etd-11072002-153105/.

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Increased power quality problems due to intensive usage of power electronic devices resulted in development of software applications to perform quick harmonic analysis. However, the present harmonic analysis applications have special software or computer locks requirements and occupy huge memory and cost high. An application program (using Microsoft Visual C++) that is simple yet accurate in calculations; with no special software or high memory requirements is developed in this thesis work. The program uses the automatic acceptance criteria (AAC) and the harmonic penetration techniques in calculating the system voltages. Several user-friendly features and tools that aid in better understanding of system harmonics are included in the program. Comparison of case study results with Superharm simulation results proves the program?s accuracy. This thesis work resulted in an informative and time saving program with which the user can document the study results and analyze them with minimum effort.
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Books on the topic "Harmonic Analysis/Applications"

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Harmonic analysis and applications. Boca Raton: CRC Press, 1997.

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Kenig, Carlos, Fang Hua Lin, Svitlana Mayboroda, and Tatiana Toro, eds. Harmonic Analysis and Applications. Providence, Rhode Island: American Mathematical Society, 2020. http://dx.doi.org/10.1090/pcms/027.

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Rassias, Michael Th, ed. Harmonic Analysis and Applications. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-61887-2.

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Heil, Christopher, ed. Harmonic Analysis and Applications. Boston, MA: Birkhäuser Boston, 2006. http://dx.doi.org/10.1007/0-8176-4504-7.

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R, Deville, ed. Complex analysis, harmonic analysis and applications. Harlow: Longman, 1996.

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Applications of harmonic measure. New York: Wiley, 1986.

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Harmonic analysis on symmetric spaces and applications. New York: Springer-Verlag, 1985.

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Terras, Audrey. Harmonic analysis on symmetric spaces and applications. New York: Springer-Verlag, 1988.

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Workshop on Noncommutative Harmonic Analysis with Applications to Probability (9th 2006 Będlewo, Poland). Noncommutative harmonic analysis with applications to probability. Edited by Bożejko Marek. Warszawa: Institute of Mathematics, Polish Academy of Sciences, 2007.

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Mayeli, Azita, Alex Iosevich, Palle Jorgensen, and Gestur Ólafsson, eds. Commutative and Noncommutative Harmonic Analysis and Applications. Providence, Rhode Island: American Mathematical Society, 2013. http://dx.doi.org/10.1090/conm/603.

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Book chapters on the topic "Harmonic Analysis/Applications"

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Schlichting, Günther. "Some applications of topology to group theory." In Harmonic Analysis, 272–76. Berlin, Heidelberg: Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/bfb0086608.

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Mackey, George W. "Induced representations and the applications of harmonic analysis." In Harmonic Analysis, 16–51. Berlin, Heidelberg: Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/bfb0086586.

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Liu, Zhixin, and Shanzhen Lu. "Applications of Hörmander multiplier theorem to approximation in real Hardy spaces." In Harmonic Analysis, 119–29. Berlin, Heidelberg: Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/bfb0087763.

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Howe, Roger, and Eng Chye Tan. "Applications to Analysis." In Non-Abelian Harmonic Analysis, 121–202. New York, NY: Springer New York, 1992. http://dx.doi.org/10.1007/978-1-4613-9200-2_4.

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Daubechies, Ingrid, and Anna Gilbert. "Harmonic analysis, wavelets and applications." In IAS/Park City Mathematics Series, 159–226. Providence, Rhode Island: American Mathematical Society, 1998. http://dx.doi.org/10.1090/pcms/005/03.

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Campos, Rafael G. "Applications of the XFT." In Applied and Numerical Harmonic Analysis, 119–84. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-13423-5_4.

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Pathak, Hemant Kumar. "Harmonic Functions and Integral Functions." In Complex Analysis and Applications, 753–805. Singapore: Springer Singapore, 2019. http://dx.doi.org/10.1007/978-981-13-9734-9_11.

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Saichev, Alexander I., and Wojbor Woyczynski. "Basic Applications: Rigorous and Pragmatic." In Applied and Numerical Harmonic Analysis, 37–72. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-97958-8_2.

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Czaja, Wojciech, Weilin Li, Yiran Li, and Mike Pekala. "Maximal Function Pooling with Applications." In Applied and Numerical Harmonic Analysis, 413–29. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-69637-5_21.

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Pacelli Bessa, Gregorio, Stefano Pigola, and Alberto G. Setti. "Stochastic Properties of Riemannian Manifolds and Applications to PDE’s." In Trends in Harmonic Analysis, 381–98. Milano: Springer Milan, 2013. http://dx.doi.org/10.1007/978-88-470-2853-1_14.

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Conference papers on the topic "Harmonic Analysis/Applications"

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Shimada, Yoshihito. "White noise distribution theory and its application." In Noncommutative Harmonic Analysis with Applications to Probability. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2007. http://dx.doi.org/10.4064/bc78-0-21.

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Szafraniec, Franciszek Hugon. "Operators of the q-oscillator." In Noncommutative Harmonic Analysis with Applications to Probability. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2007. http://dx.doi.org/10.4064/bc78-0-22.

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Banica, Teodor, Julien Bichon, and Benoît Collins. "Quantum permutation groups: a survey." In Noncommutative Harmonic Analysis with Applications to Probability. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2007. http://dx.doi.org/10.4064/bc78-0-1.

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Fendle, Gero, Karlheinz Gröchenig, and Michael Leinert. "On spectrality of the algebra of convolution dominated operators." In Noncommutative Harmonic Analysis with Applications to Probability. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2007. http://dx.doi.org/10.4064/bc78-0-10.

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Hiai, Fumio, and Dénes Petz. "A new approach to mutual information." In Noncommutative Harmonic Analysis with Applications to Probability. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2007. http://dx.doi.org/10.4064/bc78-0-11.

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Hinz, Melanie, and Wojciech Młotkowski. "Free cumulants of some probability measures." In Noncommutative Harmonic Analysis with Applications to Probability. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2007. http://dx.doi.org/10.4064/bc78-0-12.

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Królak, Ilona. "Bargmann representation of q-commutation relations for q>1 and associated measures." In Noncommutative Harmonic Analysis with Applications to Probability. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2007. http://dx.doi.org/10.4064/bc78-0-13.

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Krystek, Anna Dorota. "The Va-deformation of the classical convolution." In Noncommutative Harmonic Analysis with Applications to Probability. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2007. http://dx.doi.org/10.4064/bc78-0-14.

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Kula, Anna. "A moment sequence in the q-world." In Noncommutative Harmonic Analysis with Applications to Probability. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2007. http://dx.doi.org/10.4064/bc78-0-15.

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Liang, Song, Nobuaki Obata, and Shuji Takahashi. "Asymptotic spectral analysis of generalized Erdős–Rényi random graphs." In Noncommutative Harmonic Analysis with Applications to Probability. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2007. http://dx.doi.org/10.4064/bc78-0-16.

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Reports on the topic "Harmonic Analysis/Applications"

1

Niederer, J. BNL MAD: Harmonic Analysis Based Orbit Correction Commands AGS Booster Applications. Office of Scientific and Technical Information (OSTI), February 1997. http://dx.doi.org/10.2172/1151363.

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Casey, Stephen D. Number Theoretic Methods in Harmonic Analysis: Theory and Application. Fort Belvoir, VA: Defense Technical Information Center, May 2002. http://dx.doi.org/10.21236/ada413800.

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3

Liao, DaHan. Generalized Wideband Harmonic Imaging of Nonlinearly Loaded Scatterers: Theory, Analysis, and Application for Forward-Looking Radar Target Detection. Fort Belvoir, VA: Defense Technical Information Center, September 2014. http://dx.doi.org/10.21236/ada610622.

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