Relevant bibliographies by topics / Vector valued functions

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Vector valued functions'

Author: Grafiati
Published: 4 June 2021
Last updated: 25 July 2025

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Journal articles on the topic "Vector valued functions"

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Matkowski, Janusz. "Mean-value theorem for vector-valued functions." Mathematica Bohemica 137, no. 4 (2012): 415–23. http://dx.doi.org/10.21136/mb.2012.142997.

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Carmichael, Richard D. "Vector-Valued Analytic Functions Having Vector-Valued Tempered Distributions as Boundary Values." Axioms 12, no. 11 (2023): 1036. http://dx.doi.org/10.3390/axioms12111036.

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Vector-valued analytic functions in Cn, which are known to have vector-valued tempered distributional boundary values, are shown to be in the Hardy space Hp,1≤p<2, if the boundary value is in the vector-valued Lp,1≤p<2, functions. The analysis of this paper extends the analysis of a previous paper that considered the cases for 2≤p≤∞. Thus, with the addition of the results of this paper, the considered problems are proved for all p,1≤p≤∞.
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Bonet, J., E. Jordá, and M. Maestre. "Vector-valued meromorphic functions." Archiv der Mathematik 79, no. 5 (2002): 353–59. http://dx.doi.org/10.1007/pl00012457.

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Bagheri-Bardi, G. A. "Vector-valued measurable functions." Topology and its Applications 252 (February 2019): 1–8. http://dx.doi.org/10.1016/j.topol.2018.11.002.

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He, Jianxun, and Shouyou Huang. "Constructions of Vector-Valued Filters and Vector-Valued Wavelets." Journal of Applied Mathematics 2012 (2012): 1–18. http://dx.doi.org/10.1155/2012/130939.

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Leta =(a1,a2,…,am)∈ℂmbe anm-dimensional vector. Then, it can be identified with anm×mcirculant matrix. By using the theory of matrix-valued wavelet analysis (Walden and Serroukh, 2002), we discuss the vector-valued multiresolution analysis. Also, we derive several different designs of finite length of vector-valued filters. The corresponding scaling functions and wavelet functions are given. Specially, we deal with the construction of filters on symmetric matrix-valued functions space.
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Domański, Paweł, and Michael Langenbruch. "Vector Valued Hyperfunctions and Boundary Values of Vector Valued Harmonic and Holomorphic Functions." Publications of the Research Institute for Mathematical Sciences 44, no. 4 (2008): 1097–142. http://dx.doi.org/10.2977/prims/1231263781.

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Cichoń, Dariusz, and Harold S. Shapiro. "Toeplitz operators in Segal-Bargmann spaces of vector-valued functions vector-valued functions." MATHEMATICA SCANDINAVICA 93, no. 2 (2003): 275. http://dx.doi.org/10.7146/math.scand.a-14424.

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We discuss new results concerning unbounded Toeplitz operators defined in Segal-Bargmann spaces of (vector-valued) functions, i.e. the space of all entire functions which are square summable with respect to the Gaussian measure in $\mathrm{C}^n$. The problem of finding adjoints of analytic Toeplitz operators is solved in some cases. Closedness of the range of analytic Toeplitz operators is studied. We indicate an example of an entire function inducing a Toeplitz operator, for which the space of polynomials is not a core though it is contained in its domain.
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Carmichael, Richard D. "Cauchy Integral and Boundary Value for Vector-Valued Tempered Distributions." Axioms 11, no. 8 (2022): 392. http://dx.doi.org/10.3390/axioms11080392.

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Using the historically general growth condition on scalar-valued analytic functions, which have tempered distributions as boundary values, we show that vector-valued analytic functions in tubes TC=Rn+iC obtain vector-valued tempered distributions as boundary values. In a certain vector-valued case, we study the structure of this boundary value, which is shown to be the Fourier transform of the distributional derivative of a vector-valued continuous function of polynomial growth. A set of vector-valued functions used to show the structure of the boundary value is shown to have a one–one and ont
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Roy, S. K., and N. D. Chakraborty. "Integration of vector-valued functions with respect to an operator-valued measure." Czechoslovak Mathematical Journal 36, no. 2 (1986): 198–209. http://dx.doi.org/10.21136/cmj.1986.102084.

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Banakh, Iryna, Taras Banakh, and Kaori Yamazaki. "Extenders for vector-valued functions." Studia Mathematica 191, no. 2 (2009): 123–50. http://dx.doi.org/10.4064/sm191-2-2.

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Dissertations / Theses on the topic "Vector valued functions"

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Barclay, Steven John. "Banach spaces of analytic vector-valued functions." Thesis, University of Leeds, 2007. http://etheses.whiterose.ac.uk/167/.

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The main theme of the thesis is the study of continuity and approximation problems, involving matrix-valued and vector-valued Hardy spaces on the unit disc ID and its boundary T in the complex plane. The first part of the thesis looks at the factorization of square matrix-valued boundary functions, beginning with spectral factorization in Chapter 2. Then ideas involving approximations with inner and outer functions are used to solve a matrix analogue of the Douglas-Rudin problem in Chapter 3. In both cases, considerable considerable extra difficulties are created by the noncommutativity of mat
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Hossain, M. Ayub. "The stochastic preference relations for vector valued attributes /." The Ohio State University, 1987. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487331541711522.

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Kerr, Robert. "Toeplitz products and two-weight inequalities on spaces of vector-valued functions." Thesis, University of Glasgow, 2011. http://theses.gla.ac.uk/2469/.

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This thesis is concerned with operators on certain vector-valued function spaces. Namely, Bergman spaces of \mathbb{C}^n$-valued functions and L^2(\mathbb{R},\mathbb{C}^n,V)$, where $V$ is a matrix weight. We will study products of Toeplitz operators on the vector Bergman space $L^2_a(\mathbb{C}^n)$. We also study various operators, including the dyadic shift and the Hilbert transform, between $L^2(\mathbb{R},\mathbb{C}^n,V)$ and $L^2(\mathbb{R},\mathbb{C}^n,U)$. These function spaces are generalizations of normed vector spaces of functions which take values in $\mathbb{C}$. The thesis is spli
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Wahlberg, Patrik. "On time-frequency analysis and pseudo-differential operators for vector-valued functions." Doctoral thesis, Växjö universitet, Matematiska och systemtekniska institutionen, 2008. http://urn.kb.se/resolve?urn=urn:nbn:se:vxu:diva-2336.

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This thesis treats different aspects of time-frequency analysis and pseudodifferential operators, with particular emphasis on techniques involving vector-valued functions and operator-valued symbols. The vector (Banach) space is either motivated by an application as in Paper I, where it is a space of stochastic variables, or is part of a general problem as in Paper II, or arises naturally from problems for scalar-valued operators and function spaces, as in Paper V. Paper III and IV fall outside this framework and treats algebraic aspects of time-frequency analysis and pseudodifferential operat
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Oliver, Vendrell Roc. "Hankel operators on vector-valued Bergman spaces." Doctoral thesis, Universitat de Barcelona, 2017. http://hdl.handle.net/10803/471520.

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The main goal of this work is to study vector-valued Bergman spaces and to obtain the weak factorization of these spaces. In order to do that we need to study small Hankel operators with operator-valued holomorphic symbols. We also study the big Hankel operator acting on vector-valued Bergman spaces. In Chapter 1 we collect all the previous results and notations needed to follow the rest of the manuscript. More concretely, some of the topics covered in this chapter are the Bochner integral, the integral for vector-valued functions appearing first in Bochner; the Bergman metric, results of t
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Vu, Anh Tuan [Verfasser]. "Lipschitz properties of vector- and set-valued functions with applications / Anh Tuan Vu." Halle, 2018. http://d-nb.info/1153007819/34.

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Juan, Huguet Jordi. "Iterates of differential operators and vector valued functions on non quasi analytic classes." Doctoral thesis, Universitat Politècnica de València, 2011. http://hdl.handle.net/10251/9401.

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En el año 1960 Komatsu introdujo ciertas clases de funciones infinitamente derivables definidas mediante estimaciones del crecimiento de los sucesivos iterados de un operador en derivadas parciales cuando estudiaba propiedades de regularidad de las soluciones de ciertas ecuaciones en derivadas parciales. Esta línea de investigación ha sido muy activa hasta la actualidad a través de los trabajos de muchos autores. Destacamos, entre otros, Bolley, Camus, Kotake, Langenbruch, Métivier, Narasimhan, Newberger, Rodino, Zanghirati y Zielezny. Toda esta bibliografía involucra el llamado problema de
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Martin, C. Wayne. "Quantization using permutation codes with a uniform source /." Electronic version (PDF), 2003. http://dl.uncw.edu/etd/2003/martinc/cwaynemartin.pdf.

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De, Kock Mienie. "Absolute continuity and on the range of a vector measure." [Kent, Ohio] : Kent State University, 2008. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=kent1216134542.

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Thesis (Ph.D.)--Kent State University, 2008.<br>Title from PDF t.p. (viewed Jan. 26, 2010). Advisor: Joseph Diestel. Keywords: absolute continiuty, range of a vector measure. Includes bibliographical references (p. 40-41).
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Batista, Leandro Candido. "Teoria isomorfa dos espaços de Banach C0(K,X)." Universidade de São Paulo, 2012. http://www.teses.usp.br/teses/disponiveis/45/45131/tde-17072013-113811/.

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Para um espaço localmente compacto de Hausdorff K e um espaço de Banach X, denotamos por C0(K,X) o espaço de todas as funções a valores em X contínuas sobre K que se anulam no infinito, munido da norma do supremo. No espírito do clássico teorema de Banach-Stone 1937, estabelecemos que se C0(K1,X) é isomorfo a C0(K2,X), onde X é um espaço de Banach de cotipo finito e tal que X é separável ou X* tem a propriedade de Radon-Nikodým, então ou K1 e K2 são ambos finitos ou K1 e K2 tem a mesma cardinalidade. Trata-se de uma extensão vetorial de um resultado de Cengiz 1978, o caso escalar X = R ou X =
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Books on the topic "Vector valued functions"

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Hu, Chuang-gan. Vector-valued functions and their applications. Kluwer Academic Publishers, 1992.

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Cembranos, Pilar, and José Mendoza. Banach Spaces of Vector-Valued Functions. Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/bfb0096765.

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Hu, Chuang-Gan, and Chung-Chun Yang. Vector-Valued Functions and their Applications. Springer Netherlands, 1992. http://dx.doi.org/10.1007/978-94-015-8030-4.

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1957-, Mendoza José, ed. Banach spaces of vector-valued functions. Springer, 1997.

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Kusraev, A. G. Vektornai︠a︡ dvoĭstvennostʹ i ee prilozhenii︠a︡. Nauka, 1985.

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Valéry, Covachev, ed. Complex vector functional equations. World Scientific, 2001.

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United States. National Aeronautics and Space Administration., ed. Rational approximations from power series of vector-valued meromorphic functions. National Aeronautics and Space Administration, 1992.

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Zaidman, Samuel. Almost-periodic functions in abstract spaces. Pitman Advanced, 1985.

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James, Stewart. Single variable calculus with vector functions: Concepts and contexts. Thomson Brooks/Cole, 2007.

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Sidi, Avram. Application of vector-valued rational approximations to the matrix Eigenvalue problem and connections with Krylov subspace methods. National Aeronautics and Space Administration, 1992.

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Book chapters on the topic "Vector valued functions"

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Krantz, Steven G., and Harold Parks. "Vector-Valued Functions." In Vector Calculus. Chapman and Hall/CRC, 2024. http://dx.doi.org/10.1201/9781003304241-2.

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Vince, John. "Vector-Valued Functions." In Calculus for Computer Graphics. Springer London, 2013. http://dx.doi.org/10.1007/978-1-4471-5466-2_12.

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Sinha, Kalyan B., and Sachi Srivastava. "Vector-Valued Functions." In Texts and Readings in Mathematics. Springer Singapore, 2017. http://dx.doi.org/10.1007/978-981-10-4864-7_1.

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Pao, Karen, and Frederick Soon. "Vector-Valued Functions." In Student’s Guide to Basic Multivariable Calculus. Springer New York, 1993. http://dx.doi.org/10.1007/978-1-4757-4300-5_4.

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Vince, John. "Vector-Valued Functions." In Calculus for Computer Graphics. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-11376-6_12.

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Dym, Harry. "Vector-valued functions." In Graduate Studies in Mathematics. American Mathematical Society, 2013. http://dx.doi.org/10.1090/gsm/078/14.

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Vince, John. "Vector-Valued Functions." In Calculus for Computer Graphics. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-28117-4_12.

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Dineen, Seán. "Vector Valued Differentiation." In Functions of Two Variables. Springer US, 1995. http://dx.doi.org/10.1007/978-1-4899-3250-1_16.

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Hu, Chuang-Gan, and Chung-Chun Yang. "Vector-Valued Analysis." In Vector-Valued Functions and their Applications. Springer Netherlands, 1992. http://dx.doi.org/10.1007/978-94-015-8030-4_3.

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Vince, John. "Differentiating Vector-Valued Functions." In Vector Analysis for Computer Graphics. Springer London, 2021. http://dx.doi.org/10.1007/978-1-4471-7505-6_5.

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Conference papers on the topic "Vector valued functions"

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Guo, Zehui, and Tomohisa Hayakawa. "Pareto Improvement for Noncooperative Systems With Vector-valued Payoff Functions." In 2024 IEEE 63rd Conference on Decision and Control (CDC). IEEE, 2024. https://doi.org/10.1109/cdc56724.2024.10886420.

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Zhang, Lifeng, Beno�t Chachuat, and Claire S. Adjiman. "Accelerating Solvent Design Optimisation with Group-Contribution Machine Learning Surrogate Classifiers." In The 35th European Symposium on Computer Aided Process Engineering. PSE Press, 2025. https://doi.org/10.69997/sct.166568.

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Asserting the phase stability of multi-component mixtures is an important task in computer-aided mixture/blend design (CAMbD), but it is often hindered by the lack of reliable and tractable models. In this paper, we propose a group-contribution machine-learning (GC-ML) method to predict phase coexistence for a large set of ternary mixtures consisting of two solvents and one (fixed) solute. Each solvent is represented by a vector of functional group numbers, encoded by integer values. The solvent vectors are combined with mixture composition and temperature to form the input features to a GC-ML
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Wu, Yidan, Jianan Zhang, and Li Jin. "On Joint Convergence of Traffic State and Weight Vector in Learning-Based Dynamic Routing with Value Function Approximation." In 2024 IEEE 63rd Conference on Decision and Control (CDC). IEEE, 2024. https://doi.org/10.1109/cdc56724.2024.10886356.

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Goldenbaum, Mario, Holger Boche, and Slawomir Stanczak. "On analog computation of vector-valued functions in clustered wireless sensor networks." In 2012 46th Annual Conference on Information Sciences and Systems (CISS). IEEE, 2012. http://dx.doi.org/10.1109/ciss.2012.6310783.

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Carniello, Rafael A. F., Wington L. Vital, and Marcos Eduardo Valle. "Universal Approximation Theorem for Tessarine-Valued Neural Networks." In Encontro Nacional de Inteligência Artificial e Computacional. Sociedade Brasileira de Computação - SBC, 2021. http://dx.doi.org/10.5753/eniac.2021.18256.

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The universal approximation theorem ensures that any continuous real-valued function defined on a compact subset can be approximated with arbitrary precision by a single hidden layer neural network. In this paper, we show that the universal approximation theorem also holds for tessarine-valued neural networks. Precisely, any continuous tessarine-valued function can be approximated with arbitrary precision by a single hidden layer tessarine-valued neural network with split activation functions in the hidden layer. A simple numerical example, confirming the theoretical result and revealing the s
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Ammanouil, Rita, Andre Ferrari, Cedric Richard, and Jean-Yves Tournere. "Spatial regularization for nonlinear unmixing of hyperspectral data with vector-valued kernel functions." In 2016 IEEE Statistical Signal Processing Workshop (SSP). IEEE, 2016. http://dx.doi.org/10.1109/ssp.2016.7551845.

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Plattner, Alain, and Frederik J. Simons. "A spatiospectral localization approach for analyzing and representing vector-valued functions on spherical surfaces." In SPIE Optical Engineering + Applications, edited by Dimitri Van De Ville, Vivek K. Goyal, and Manos Papadakis. SPIE, 2013. http://dx.doi.org/10.1117/12.2024703.

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Guo, Zehui, Tomohisa Hayakawa, and Yuyue Yan. "Stability and Stabilization of Nash Equilibrium for Noncooperative Systems With Vector-Valued Payoff Functions." In 2023 62nd IEEE Conference on Decision and Control (CDC). IEEE, 2023. http://dx.doi.org/10.1109/cdc49753.2023.10384265.

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Alexander, Michael J., James T. Allison, Panos Y. Papalambros, and David J. Gorsich. "Constraint Management of Reduced Representation Variables in Decomposition-Based Design Optimization." In ASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/detc2010-28788.

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In decomposition-based design optimization strategies, such as Analytical Target Cascading (ATC), it is sometimes necessary to use reduced dimensionality representations to approximate functions of large dimensionality whose values need to be exchanged among subproblems. The reduced representation variables may not be physically meaningful, and it can become challenging to constrain them properly and define the model validity region. For example, in coordination strategies like ATC, representing vector-valued coupling variables with improperly constrained reduced representation variables can l
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Silverman, M. P. "Comparison of coherence properties of thermal electrons and blackbody radiation." In OSA Annual Meeting. Optica Publishing Group, 1987. http://dx.doi.org/10.1364/oam.1987.tui4.

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The profound distinctions between photon and Fermion optics appear in the second-order coherence properties of the particle field.1 Particularly significant are blackbody radiation2 and thermal electron fields; the correlation functions are uniquely specified by temperature θ and chemical potential u. Differences in the second-order coherence arise principally from considerations of (a) particle conservation (photons are not conserved; electron conservation is rigorous and tantamount to charge conservation); (b) tensorial character of the fields (electromagnetic fields are vector-valued; elect
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Reports on the topic "Vector valued functions"

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Liu, Jing, Channing Arndt, and Thomas Hertel. Parameter Estimation and Measures of Fit in A Global, General Equilibrium Model. GTAP Working Paper, 2003. http://dx.doi.org/10.21642/gtap.wp24.

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Computable General Equilibrium (CGE) models have been widely used for quantitative analysis of global economic issues. However, CGE models are frequently criticized for resting on weak empirical foundations. This paper builds on recent work in macro-econometric estimation, developing an approach to parameter estimation for a widely employed global CGE model, the Global Trade Analysis Project (GTAP) model. An approximate likelihood function is developed and the set of optimum elasticity values is obtained by maximizing this approximate likelihood function in the context of a back casting exerci
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Huntley, D., D. Rotheram-Clarke, R. Cocking, J. Joseph, and P. Bobrowsky. Current research on slow-moving landslides in the Thompson River valley, British Columbia (IMOU 5170 annual report). Natural Resources Canada/CMSS/Information Management, 2022. http://dx.doi.org/10.4095/331175.

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Interdepartmental Memorandum of Understanding (IMOU) 5170 between Natural Resources Canada (NRCAN), the Geological Survey of Canada (GSC) and Transport Canada Innovation Centre (TC-IC) aims to gain new insight into slow-moving landslides, and the influence of climate change, through testing conventional and emerging monitoring technologies. IMOU 5107 focuses on strategically important sections of the national railway network in the Thompson River valley, British Columbia (BC), and the Assiniboine River valley along the borders of Manitoba (MN) and Saskatchewan (SK). Results of this research ar
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