Harmonic Analysis And The Theory Of Probability

Author : Saloman Bochner
Publisher : Univ of California Press
Page : 184 pages
File Size : 52,7 Mb
Release : 2022-08-19
Category : Mathematics
ISBN : 9780520345287

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Harmonic Analysis and the Theory of Probability by Saloman Bochner Pdf

This title is part of UC Press's Voices Revived program, which commemorates University of California Press’s mission to seek out and cultivate the brightest minds and give them voice, reach, and impact. Drawing on a backlist dating to 1893, Voices Revived makes high-quality, peer-reviewed scholarship accessible once again using print-on-demand technology. This title was originally published in 1955.

Author : Anonim
Publisher : Unknown
Page : 0 pages
File Size : 40,6 Mb
Release : 1955
Category : Electronic
ISBN : OCLC:867431726

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Harmonic Analysis and the Theory of Probability by Anonim Pdf

Author : Jia-Arng Chao,Wojbor Andrzej Woyczyński
Publisher : Unknown
Page : 320 pages
File Size : 46,8 Mb
Release : 1986
Category : Mathematics
ISBN : UOM:39015015627246

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Probability Theory and Harmonic Analysis by Jia-Arng Chao,Wojbor Andrzej Woyczyński Pdf

Author : R. C. Blei,S. J. Sidney
Publisher : Springer
Page : 183 pages
File Size : 49,8 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540400363

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Banach Spaces, Harmonic Analysis, and Probability Theory by R. C. Blei,S. J. Sidney Pdf

Author : Tatsuo Kawata
Publisher : Academic Press
Page : 681 pages
File Size : 54,9 Mb
Release : 2014-06-17
Category : Mathematics
ISBN : 9781483218526

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Fourier Analysis in Probability Theory by Tatsuo Kawata Pdf

Fourier Analysis in Probability Theory provides useful results from the theories of Fourier series, Fourier transforms, Laplace transforms, and other related studies. This 14-chapter work highlights the clarification of the interactions and analogies among these theories. Chapters 1 to 8 present the elements of classical Fourier analysis, in the context of their applications to probability theory. Chapters 9 to 14 are devoted to basic results from the theory of characteristic functions of probability distributors, the convergence of distribution functions in terms of characteristic functions, and series of independent random variables. This book will be of value to mathematicians, engineers, teachers, and students.

Author : Nigel Kalton,Elias Saab,Stephen Montgomery-Smith
Publisher : CRC Press
Page : 496 pages
File Size : 50,9 Mb
Release : 1995-10-12
Category : Mathematics
ISBN : 082479611X

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Interaction Between Functional Analysis, Harmonic Analysis, and Probability by Nigel Kalton,Elias Saab,Stephen Montgomery-Smith Pdf

Based on a conference on the interaction between functional analysis, harmonic analysis and probability theory, this work offers discussions of each distinct field, and integrates points common to each. It examines developments in Fourier analysis, interpolation theory, Banach space theory, probability, probability in Banach spaces, and more.

Author : Herbert Heyer
Publisher : World Scientific
Page : 399 pages
File Size : 48,5 Mb
Release : 2004
Category : Mathematics
ISBN : 9789812389374

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Structural Aspects in the Theory of Probability by Herbert Heyer Pdf

This book focuses on the algebraic-topological aspects of probability theory, leading to a wider and deeper understanding of basic theorems, such as those on the structure of continuous convolution semigroups and the corresponding processes with independent increments. The method applied within the setting of Banach spaces and of locally compact Abelian groups is that of the Fourier transform. This analytic tool along with the relevant parts of harmonic analysis makes it possible to study certain properties of stochastic processes in dependence of the algebraic-topological structure of their state spaces. Graduate students, lecturers and researchers may use the book as a primer in the theory of probability measures on groups and related structures.This book has been selected for coverage in: ? CC / Physical, Chemical & Earth Sciences? Index to Scientific Book Contents? (ISBC)

Author : R. C. Blei,S. J. Sidney
Publisher : Unknown
Page : 188 pages
File Size : 47,5 Mb
Release : 2014-01-15
Category : Electronic
ISBN : 3662196972

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Banach Spaces, Harmonic Analysis, and Probability Theory by R. C. Blei,S. J. Sidney Pdf

Author : Herbert Heyer,Gyula Pap
Publisher : World Scientific
Page : 425 pages
File Size : 44,5 Mb
Release : 2010
Category : Mathematics
ISBN : 9789814282482

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Structural Aspects in the Theory of Probability by Herbert Heyer,Gyula Pap Pdf

The book is conceived as a text accompanying the traditional graduate courses on probability theory. An important feature of this enlarged version is the emphasis on algebraic-topological aspects leading to a wider and deeper understanding of basic theorems such as those on the structure of continuous convolution semigroups and the corresponding processes with independent increments. Fourier transformation ? the method applied within the settings of Banach spaces, locally compact Abelian groups and commutative hypergroups ? is given an in-depth discussion. This powerful analytic tool along with the relevant facts of harmonic analysis make it possible to study certain properties of stochastic processes in dependence of the algebraic-topological structure of their state spaces. In extension of the first edition, the new edition contains chapters on the probability theory of generalized convolution structures such as polynomial and Sturm?Liouville hypergroups, and on the central limit problem for groups such as tori, p-adic groups and solenoids.

Author : Walter R. Bloom,Herbert Heyer
Publisher : Walter de Gruyter
Page : 609 pages
File Size : 54,7 Mb
Release : 2011-04-20
Category : Mathematics
ISBN : 9783110877595

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Harmonic Analysis of Probability Measures on Hypergroups by Walter R. Bloom,Herbert Heyer Pdf

The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 30 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics. While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In times of rapid growth of mathematical knowledge carefully written monographs and textbooks written by experts are needed more than ever, not least to pave the way for the next generation of mathematicians. In this sense the editorial board and the publisher of the Studies are devoted to continue the Studies as a service to the mathematical community. Please submit any book proposals to Niels Jacob.

Author : Palle E. T. Jorgensen
Publisher : Springer Science & Business Media
Page : 320 pages
File Size : 46,7 Mb
Release : 2007-10-17
Category : Mathematics
ISBN : 9780387330822

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Analysis and Probability by Palle E. T. Jorgensen Pdf

Combines analysis and tools from probability, harmonic analysis, operator theory, and engineering (signal/image processing) Interdisciplinary focus with hands-on approach, generous motivation and new pedagogical techniques Numerous exercises reinforce fundamental concepts and hone computational skills Separate sections explain engineering terms to mathematicians and operator theory to engineers Fills a gap in the literature

Author : Richard F. Bass
Publisher : Springer Science & Business Media
Page : 408 pages
File Size : 50,9 Mb
Release : 1994-12-16
Category : Mathematics
ISBN : 9780387943879

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Probabilistic Techniques in Analysis by Richard F. Bass Pdf

In recent years, there has been an upsurge of interest in using techniques drawn from probability to tackle problems in analysis. These applications arise in subjects such as potential theory, harmonic analysis, singular integrals, and the study of analytic functions. This book presents a modern survey of these methods at the level of a beginning Ph.D. student. Highlights of this book include the construction of the Martin boundary, probabilistic proofs of the boundary Harnack principle, Dahlberg's theorem, a probabilistic proof of Riesz' theorem on the Hilbert transform, and Makarov's theorems on the support of harmonic measure. The author assumes that a reader has some background in basic real analysis, but the book includes proofs of all the results from probability theory and advanced analysis required. Each chapter concludes with exercises ranging from the routine to the difficult. In addition, there are included discussions of open problems and further avenues of research.

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 45,7 Mb
Release : 2024-07-03
Category : Electronic
ISBN : 9789814466943

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Structural Aspects in the Theory of Probability by Anonim Pdf

Author : Alexey N. Karapetyants,Igor V. Pavlov,Albert N. Shiryaev
Publisher : Springer Nature
Page : 413 pages
File Size : 42,7 Mb
Release : 2021-08-31
Category : Mathematics
ISBN : 9783030768294

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Operator Theory and Harmonic Analysis by Alexey N. Karapetyants,Igor V. Pavlov,Albert N. Shiryaev Pdf

This volume is part of the collaboration agreement between Springer and the ISAAC society. This is the second in the two-volume series originating from the 2020 activities within the international scientific conference "Modern Methods, Problems and Applications of Operator Theory and Harmonic Analysis" (OTHA), Southern Federal University, Rostov-on-Don, Russia. This volume focuses on mathematical methods and applications of probability and statistics in the context of general harmonic analysis and its numerous applications. The two volumes cover new trends and advances in several very important fields of mathematics, developed intensively over the last decade. The relevance of this topic is related to the study of complex multi-parameter objects required when considering operators and objects with variable parameters.

Author : Imre Ruzsa,Gábor J. Székely
Publisher : Unknown
Page : 272 pages
File Size : 40,6 Mb
Release : 1988-11-28
Category : Mathematics
ISBN : UOM:39015014348950

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Algebraic Probability Theory by Imre Ruzsa,Gábor J. Székely Pdf

A large part of probability theory is the study of operations on, and convergence of, probability distributions. The most frequently used operations turn the set of distributions into a semigroup. A considerable part of probability theory can be expressed, proved, sometimes even understood in terms of the abstract theory of topological semigroups. The authors 'algebraic probability theory' is a field where problems stem mainly from probability theory, have an arithmetical flair and are often dressed in terms of algebra, while the tools employed frequently belong to the theory of (complex) functions and abstract harmonic analysis. It lies at the cross-roads of numerous mathematical theories, and should serve as a catalyst to further research.