harmonic analysis and the theory of probability dover books on mathematics

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Harmonic Analysis And The Theory Of Probability

Author : Salomon Bochner
ISBN : 9780486154800
Genre : Mathematics
File Size : 76. 96 MB
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Written by a distinguished mathematician and educator, this classic text emphasizes stochastic processes and the interchange of stimuli between probability and analysis. It also introduces the author's innovative concept of the characteristic functional. 1955 edition.

Rewriting Techniques And Applications

Author : International Conference on Rewriting Techniques and Applications (2nd : 1987 : Bordeaux, France)
ISBN : 0444886125
Genre : Rewriting systems (Computer science)
File Size : 45. 50 MB
Format : PDF
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Probability Theory

Author : Y. A. Rozanov
ISBN : 9780486321141
Genre : Mathematics
File Size : 50. 92 MB
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This clear exposition begins with basic concepts and moves on to combination of events, dependent events and random variables, Bernoulli trials and the De Moivre-Laplace theorem, and more. Includes 150 problems, many with answers.

Harmonic Analysis For Engineers And Applied Scientists

Author : Gregory S. Chirikjian
ISBN : 9780486795645
Genre : Mathematics
File Size : 27. 21 MB
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Although the Fourier transform is among engineering's most widely used mathematical tools, few engineers realize that the extension of harmonic analysis to functions on groups holds great potential for solving problems in robotics, image analysis, mechanics, and other areas. This self-contained approach, geared toward readers with a standard background in engineering mathematics, explores the widest possible range of applications to fields such as robotics, mechanics, tomography, sensor calibration, estimation and control, liquid crystal analysis, and conformational statistics of macromolecules. Harmonic analysis is explored in terms of particular Lie groups, and the text deals with only a limited number of proofs, focusing instead on specific applications and fundamental mathematical results. Forming a bridge between pure mathematics and the challenges of modern engineering, this updated and expanded volume offers a concrete, accessible treatment that places the general theory in the context of specific groups.

Introduction To Abstract Harmonic Analysis

Author : Lynn H. Loomis
ISBN : 9780486481234
Genre : Mathematics
File Size : 51. 99 MB
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"Harmonic analysis is a branch of advanced mathematics with applications in such diverse areas as signal processing, medical imaging, and quantum mechanics. This classic monograph is the work of a prominent contributor to the field. Geared toward advanced undergraduates and graduate students, it focuses on methods related to Gelfand's theory of Banach algebra. 1953 edition"--

Introduction To Banach Spaces Analysis And Probability

Author : Daniel Li
ISBN : 9781108298162
Genre : Mathematics
File Size : 59. 97 MB
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This two-volume text provides a complete overview of the theory of Banach spaces, emphasising its interplay with classical and harmonic analysis (particularly Sidon sets) and probability. The authors give a full exposition of all results, as well as numerous exercises and comments to complement the text and aid graduate students in functional analysis. The book will also be an invaluable reference volume for researchers in analysis. Volume 1 covers the basics of Banach space theory, operatory theory in Banach spaces, harmonic analysis and probability. The authors also provide an annex devoted to compact Abelian groups. Volume 2 focuses on applications of the tools presented in the first volume, including Dvoretzky's theorem, spaces without the approximation property, Gaussian processes, and more. Four leading experts also provide surveys outlining major developments in the field since the publication of the original French edition.

Uniform Distribution Of Sequences

Author : L. Kuipers
ISBN : 9780486149998
Genre : Mathematics
File Size : 55. 16 MB
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The theory of uniform distribution began with Weyl's celebrated paper of 1916 and this book summarizes its development through the mid-1970s, with comprehensive coverage of methods and principles. 1974 edition.

An Introduction To Harmonic Analysis

Author : Yitzhak Katznelson
ISBN : 0521543592
Genre : Mathematics
File Size : 40. 28 MB
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First published in 1968, An Introduction to Harmonic Analysis has firmly established itself as a classic text and a favorite for students and experts alike. Professor Katznelson starts the book with an exposition of classical Fourier series. The aim is to demonstrate the central ideas of harmonic analysis in a concrete setting, and to provide a stock of examples to foster a clear understanding of the theory. Once these ideas are established, the author goes on to show that the scope of harmonic analysis extends far beyond the setting of the circle group, and he opens the door to other contexts by considering Fourier transforms on the real line as well as a brief look at Fourier analysis on locally compact abelian groups. This new edition has been revised by the author, to include several new sections and a new appendix.

Introduction To Abstract Harmonic Analysis

Author : Lynn H. Loomis
ISBN : 9780486282312
Genre : Mathematics
File Size : 70. 40 MB
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Written by a prominent figure in the field of harmonic analysis, this classic monograph is geared toward advanced undergraduates and graduate students and focuses on methods related to Gelfand's theory of Banach algebra. 1953 edition.

Classical Descriptive Set Theory

Author : Alexander Kechris
ISBN : 9781461241904
Genre : Mathematics
File Size : 37. 44 MB
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Descriptive set theory has been one of the main areas of research in set theory for almost a century. This text presents a largely balanced approach to the subject, which combines many elements of the different traditions. It includes a wide variety of examples, more than 400 exercises, and applications, in order to illustrate the general concepts and results of the theory.

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