Relevant bibliographies by topics / Bochner Integrals

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

Academic literature on the topic 'Bochner Integrals'

Author: Grafiati
Published: 4 June 2021
Last updated: 13 February 2022

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Journal articles on the topic "Bochner Integrals"

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Dragomir, S. S. "APPLICATIONS OF KATO'S INEQUALITY TO OPERATOR-VALUED INTEGRALS ON HILBERT SPACES." Asian-European Journal of Mathematics 06, no. 04 (2013): 1350059. http://dx.doi.org/10.1142/s1793557113500599.

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By the use of the celebrated Kato's inequality we obtain in this paper some inequalities for operator-valued integrals on a complex Hilbert space H. Among others, we show that [Formula: see text] for any x, y ∈ H, provided [Formula: see text] and p : E → [0, ∞) are μ-measurable functions on E and such that [Formula: see text] and [Formula: see text] are Bochner integrable on E for some α ∈ [0, 1]. Natural applications for various norms and numerical radii associated with the Bochner integral of operator-valued functions and some examples for the operator exponential are presented as well.
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Lü, Qi, Jiongmin Yong, and Xu Zhang. "Representation of Itô integrals by Lebesgue/Bochner integrals." Journal of the European Mathematical Society 14, no. 6 (2012): 1795–823. http://dx.doi.org/10.4171/jems/347.

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SIUDUT, STANISLAW. "ON THE DENJOY-PERRON-BOCHNER INTEGRAL." Tamkang Journal of Mathematics 25, no. 4 (1994): 295–300. http://dx.doi.org/10.5556/j.tkjm.25.1994.4457.

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 The notion of Denjoy integrals of abstract functions was first intro- duced by A. Alexiewicz [1]. His descriptive definitions are based upon a concept of the approximate derivative. In this paper we present another descriptive definition for the Denjoy-Perron integral of abstract functions - via the parametric derivative of Tolstov [8]. Some properties of this integral are examined. 
 
 
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van Neerven, J. M. A. M. "Approximating Bochner integrals by Riemann sums." Indagationes Mathematicae 13, no. 2 (2002): 197–208. http://dx.doi.org/10.1016/s0019-3577(02)80005-2.

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van Rooij, A. C. M., and W. B. van Zuijlen. "Bochner integrals in ordered vector spaces." Positivity 21, no. 3 (2016): 1089–113. http://dx.doi.org/10.1007/s11117-016-0454-9.

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Rao, M. M. "Representations of Conditional Means." gmj 8, no. 2 (2001): 363–76. http://dx.doi.org/10.1515/gmj.2001.363.

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Abstract A unified treatment of integral representations of conditional expectations, in terms of Bochner integrals, with specializations to Gaussian conditioning, is given. The integrals in the latter have deterministic kernels. Difficulties in actual calculations of (even regular) conditional probabilities, and the inadequacy of methods related to L'Hospital's procedures, are exemplified. Limitations of the methods used and some new problems for investigation are indicated.
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Martellotti, Anna, and Anna Rita Sambucini. "On the Comparison of Aumann and Bochner Integrals." Journal of Mathematical Analysis and Applications 260, no. 1 (2001): 6–17. http://dx.doi.org/10.1006/jmaa.2000.7404.

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YAKUBOVICH, SEMYON B. "HARMONIC ANALYSIS OF THE LEBEDEV-STIELTJES INTEGRALS." Asian-European Journal of Mathematics 02, no. 02 (2009): 307–20. http://dx.doi.org/10.1142/s179355710900025x.

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We expand the Bochner technique on the following Lebedev-Stieltjes integrals [Formula: see text] which are related to the Kontorovich-Lebedev transformation. Mapping and inversion properties are investigated. The Fourier type series with respect to an uncountable orthonormal system of the modified Bessel functions are considered in the Bohr type pre-Hilbert space. The Bessel inequality and Parseval equality are proved.
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Arguedas, Vernor, and Edwin Castro. "N-dimensional almost periodic functions II." Revista de Matemática: Teoría y Aplicaciones 10, no. 1-2 (2021): 199–205. http://dx.doi.org/10.15517/rmta.v10i1-2.47783.

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In this paper we continue the research begun in [CA-2]. Some new results are shown and proven, like the structure theorem for n-dimensional almost periodic functions by using the Bochner Transform. Also, the Haraux [Har] condition in the n-dimensional case, and some topological theorems similar to Bochner and Ascoli theorems. Furthermore, we answer a question formulated by Prof. Fischer [Fis], and we study an average theorem for integrals of almost periodic functions.
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Tang, Lin. "OSCILLATORY INTEGRALS FOR BOCHNER—RIESZ OPERATORS WITH CRITICAL ORDER." Mathematical Proceedings of the Royal Irish Academy 108, no. 1 (2008): 47–55. http://dx.doi.org/10.3318/pria.2008.108.1.47.

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Dissertations / Theses on the topic "Bochner Integrals"

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Tarkhanov, Nikolai, and Nikolai Vasilevski. "Microlocal analysis of the Bochner-Martinelli integral." Universität Potsdam, 2005. http://opus.kobv.de/ubp/volltexte/2009/3001/.

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In order to characterise the C*-algebra generated by the singular Bochner-Martinelli integral over a smooth closed hypersurfaces in Cn, we compute its principal symbol. We show then that the Szegö projection belongs to the strong closure of the algebra generated by the singular Bochner-Martinelli integral.
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Tarkhanov, Nikolai. "Operator algebras related to the Bochner-Martinelli Integral." Universität Potsdam, 2005. http://opus.kobv.de/ubp/volltexte/2009/2978/.

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We describe a general method of computing the square of the singular integral of Bochner-Martinelli. Any explicit formula for the square applies in a familiar way to describe the C*-algebra generated by this integral.
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Botelho, Geraldo Marcio de Azevedo. "Aspectos analiticos e geometricos da propriedade de Radon-Nikodym em espaços de Banach." [s.n.], 1989. http://repositorio.unicamp.br/jspui/handle/REPOSIP/305873.

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Orientador : Luiz Raymundo Alencar<br>Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Científica<br>Made available in DSpace on 2018-07-14T12:20:01Z (GMT). No. of bitstreams: 1 Botelho_GeraldoMarciodeAzevedo_M.pdf: 1768034 bytes, checksum: 70a6772203e525979ce66f50e60706bb (MD5) Previous issue date: 1989<br>Resumo: Não informado<br>Abstract: Not informed<br>Mestrado<br>Mestre em Matemática
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Hess, Patricia. "Integração de funções vetoriais." Florianópolis, SC, 2003. http://repositorio.ufsc.br/xmlui/handle/123456789/86183.

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Dissertação (mestrado) - Universidade Federal de Santa Catarina, Centro de Ciências Físicas e Matemáticas. Programa de Pós-Graduação em Matemática e Computação Científica<br>Made available in DSpace on 2012-10-21T04:28:30Z (GMT). No. of bitstreams: 1 189900.pdf: 309845 bytes, checksum: 8587bd68f85721dd3447dd3bb0116e5c (MD5)
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Bour, Vincent. "Flots géométriques d'ordre quatre et pincement intégral de la courbure." Phd thesis, Université de Grenoble, 2012. http://tel.archives-ouvertes.fr/tel-00771720.

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On étudie des flots géométriques d'ordre quatre sur des variétés riemanniennes compactes, qui apparaissent naturellement comme flots de gradient de fonctionnelles quadratiques en la courbure. Lorsque la constante de Yamabe reste minorée par une constante strictement positive le long du flot, on montre que la variété ne s'effondre pas, et qu'une suite de métriques dilatées au voisinage d'un temps singulier converge vers une variété complète qui modélise la singularité. En particulier, en dimension quatre, cette hypothèse est vérifiée pour une certaine classe de flots de gradients, du moment que
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Rodríguez, Ruiz José. "Integración en espacios de Banach." Doctoral thesis, Universidad de Murcia, 2006. http://hdl.handle.net/10803/10963.

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Esta tesis doctoral se enmarca dentro de la teoría de integración de funciones con valores en espacios de Banach. Analizamos con detalle la integral de Birkhoff de funciones vectoriales, así como sus correspondientes versiones dentro de los contextos de la integración respecto de medidas vectoriales y la integración de multi-funciones. Comparamos estos métodos de integración con otros bien conocidos (integrales de Bochner, Pettis, McShane, Debreu, etc.). Caracterizamos, en términos de integración vectorial, algunas propiedades de los espacios de Banach donde las (multi-) funciones toman valore
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Barich, Francesca. "Soluzioni del sistema integrodifferenziale con derivata frazionaria di Riemann-Liouville tramite risolventi frazionari." Bachelor's thesis, Alma Mater Studiorum - Università di Bologna, 2020. http://amslaurea.unibo.it/20718/.

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Le equazioni differenziali frazionarie hanno attirato notevole attenzione di molti matematici negli ultimi venti anni e vengono considerate come modelli alternativi alle equazioni differenziali non lineari. In questo elaborato si indagherà l'esistenza delle soluzioni di un sistema integrodifferenziale semilineare con derivata frazionaria di Riemann-Liouville, facendo riferimento al lavoro di S. Ji, M. Wang, "Solutions to Riemann-Liouville fractional integrodifferential equations via fractional resolvents", e si enunceranno le condizioni necessarie e sufficienti per avere l'esistenza di almeno
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Wolf, Jörg. "Regularität schwacher Lösungen nichtlinearer elliptischer und parabolischer Systeme partieller Differentialgleichungen mit Entartung." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, 2002. http://dx.doi.org/10.18452/14792.

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In der vorliegenden Arbeit untersuchen wir schwache Lösungen, die zu einem geeigneten Sobolevraum gehören, q-elliptischer und parabolischer Systeme partieller Differentialgleichungen auf deren Regularität für den Fall 1<br>In the present work we study the regularity of weak solution to q-elliptic and parabolic systems partial differential equations in appropriate Sobolev spaces in case 1
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Potter, Harry Thompson (Tom). "The Bochner Integral and an Application to Singular Integrals." Thesis, 2014. http://hdl.handle.net/10222/48588.

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In this expository thesis we describe the Bochner integral for functions taking values in a separable Banach space, and we describe how a number of standard definitions and results in real analysis can be extended for these functions, with an emphasis on Hilbert-space-valued functions. We then present a partial vector-valued version of a classical theorem on singular integrals.
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Books on the topic "Bochner Integrals"

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1937-, Aĭzenberg Lev Abramovich, ed. Integral Bokhnera-Martinelli i ego primenenii͡a︡. "Nauka," Sibirskoe otd-nie, 1992.

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Butnariu, Dan. On a proximal point method for optimization in Banach spaces. University of Texas at Arlington, Dept. of Mathematics, 1997.

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The Bochner-Martinelli integral and its applications. Birkhäuser, 1995.

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Kytmanov, Alexander M. The Bochner-Martinelli Integral and Its Applications. Birkhäuser Basel, 1995. http://dx.doi.org/10.1007/978-3-0348-9094-6.

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Götmark, Elin. On integral representation with weights on complex manifolds. Department of Mathematical Sciences, Chalmers tekniska högskola och Göteborgs universitet, 2007.

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Dinculeanu, Nicolae. Vector Integration and Stochastic Integration in Banach Spaces. Edited by Frédéric Ferraty and Yves Romain. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780199568444.013.12.

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This article deals with vector integration and stochastic integration in Banach spaces. In particular, it considers the theory of integration with respect to vector measures with finite semivariation and its applications. This theory reduces to integration with respect to vector measures with finite variation which, in turn, reduces to the Bochner integral with respect to a positive measure. The article describes the four stages in the development of integration theory. It first provides an overview of the relevant notation for Banach spaces, measurable functions, the integral of step function
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Book chapters on the topic "Bochner Integrals"

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Kainen, Paul C., and Andrew Vogt. "Bochner Integrals and Neural Networks." In Intelligent Systems Reference Library. Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-36657-4_6.

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Chen, Tianping. "Generalized Bochner-Riesz Means of Fourier Integrals." In Multivariate Approximation Theory IV. Birkhäuser Basel, 1989. http://dx.doi.org/10.1007/978-3-0348-7298-0_9.

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Gunning, R. C. "Quadratic Periods of Hjperelliptic Abelian Integrals." In Problems in Analysis: A Symposium in Honor of Salomon Bochner (PMS-31), edited by Robert C. Gunning. Princeton University Press, 2015. http://dx.doi.org/10.1515/9781400869312-016.

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Kytmanov, Alexander M. "The Bochner-Martinelli Integral." In The Bochner-Martinelli Integral and Its Applications. Birkhäuser Basel, 1995. http://dx.doi.org/10.1007/978-3-0348-9094-6_1.

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Light, William Allan, and Elliott Ward Cheney. "Appendix on the bochner integral." In Approximation Theory in Tensor Product Spaces. Springer Berlin Heidelberg, 1985. http://dx.doi.org/10.1007/bfb0075401.

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Grünbaum, F. Alberto, and Luc Haine. "A Theorem of Bochner, Revisited." In Algebraic Aspects of Integrable Systems. Birkhäuser Boston, 1997. http://dx.doi.org/10.1007/978-1-4612-2434-1_8.

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Kytmanov, Alexander M., and Simona G. Myslivets. "Properties of the Bochner–Martinelli Integral and the Logarithmic Residue Formula." In Multidimensional Integral Representations. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-21659-1_2.

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Kytmanov, Alexander M. "CR-Functions Given on a Hypersurface." In The Bochner-Martinelli Integral and Its Applications. Birkhäuser Basel, 1995. http://dx.doi.org/10.1007/978-3-0348-9094-6_2.

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Kytmanov, Alexander M. "Distributions Given on a Hypersurface." In The Bochner-Martinelli Integral and Its Applications. Birkhäuser Basel, 1995. http://dx.doi.org/10.1007/978-3-0348-9094-6_3.

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Kytmanov, Alexander M. "The $$\bar \partial $$ -Neumann Problem for Smooth Functions and Distributions." In The Bochner-Martinelli Integral and Its Applications. Birkhäuser Basel, 1995. http://dx.doi.org/10.1007/978-3-0348-9094-6_4.

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Conference papers on the topic "Bochner Integrals"

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Stonyakin, Fedor S. "Applications of subdifferential calculus to Bochner integral theory." In 2017 Constructive Nonsmooth Analysis and Related Topics (dedicated to the memory of V.F. Demyanov) (CNSA). IEEE, 2017. http://dx.doi.org/10.1109/cnsa.2017.7974021.

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Burns, J. A., and C. N. Rautenberg. "Bochner integrable solutions to Riccati partial differential equations and optimal sensor placement." In 2011 American Control Conference. IEEE, 2011. http://dx.doi.org/10.1109/acc.2011.5991343.

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Georgiev, S., and J. Morais. "Bochner’s theorem on Fourier-Stieltjes integrals in the framework of quaternion analysis." In 9TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES: ICNPAA 2012. AIP, 2012. http://dx.doi.org/10.1063/1.4765558.

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