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 : 64. 72 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.

Probability Theory

Author : Richard A. Silverman
ISBN : 0486635449
Genre : Mathematics
File Size : 84. 11 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.

A First Course In Harmonic Analysis

Author : Anton Deitmar
ISBN : 9781475738346
Genre : Mathematics
File Size : 70. 9 MB
Format : PDF
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This book introduces harmonic analysis at an undergraduate level. In doing so it covers Fourier analysis and paves the way for Poisson Summation Formula. Another central feature is that is makes the reader aware of the fact that both principal incarnations of Fourier theory, the Fourier series and the Fourier transform, are special cases of a more general theory arising in the context of locally compact abelian groups. The final goal of this book is to introduce the reader to the techniques used in harmonic analysis of noncommutative groups. These techniques are explained in the context of matrix groups as a principal example.

Fourier Analysis On Finite Groups And Applications

Author : Audrey Terras
ISBN : 0521457181
Genre : Mathematics
File Size : 66. 36 MB
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A friendly introduction to Fourier analysis on finite groups, accessible to undergraduates/graduates in mathematics, engineering and the physical sciences.

Real Variable Methods In Harmonic Analysis

Author : Alberto Torchinsky
ISBN : 9781483268880
Genre : Mathematics
File Size : 25. 33 MB
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Real-Variable Methods in Harmonic Analysis deals with the unity of several areas in harmonic analysis, with emphasis on real-variable methods. Active areas of research in this field are discussed, from the Calderón-Zygmund theory of singular integral operators to the Muckenhoupt theory of Ap weights and the Burkholder-Gundy theory of good ? inequalities. The Calderón theory of commutators is also considered. Comprised of 17 chapters, this volume begins with an introduction to the pointwise convergence of Fourier series of functions, followed by an analysis of Cesàro summability. The discussion then turns to norm convergence; the basic working principles of harmonic analysis, centered around the Calderón-Zygmund decomposition of locally integrable functions; and fractional integration. Subsequent chapters deal with harmonic and subharmonic functions; oscillation of functions; the Muckenhoupt theory of Ap weights; and elliptic equations in divergence form. The book also explores the essentials of the Calderón-Zygmund theory of singular integral operators; the good ? inequalities of Burkholder-Gundy; the Fefferman-Stein theory of Hardy spaces of several real variables; Carleson measures; and Cauchy integrals on Lipschitz curves. The final chapter presents the solution to the Dirichlet and Neumann problems on C1-domains by means of the layer potential methods. This monograph is intended for graduate students with varied backgrounds and interests, ranging from operator theory to partial differential equations.

Probabilities On Algebraic Structures

Author : Ulf Grenander
ISBN : 9780486462875
Genre : Mathematics
File Size : 64. 28 MB
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This systematic approach covers semi-groups, groups, linear vector spaces, and algebra. It states and studies fundamental probabilistic problems for these spaces, focusing on concrete results. 1963 edition.

Analysis And Probability

Author : Palle E. T. Jorgensen
ISBN : 9780387330822
Genre : Mathematics
File Size : 25. 64 MB
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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

Introduction To Analysis

Author : Maxwell Rosenlicht
ISBN : 9780486134680
Genre : Mathematics
File Size : 69. 43 MB
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Written for junior and senior undergraduates, this remarkably clear and accessible treatment covers set theory, the real number system, metric spaces, continuous functions, Riemann integration, multiple integrals, and more. 1968 edition.

Foundations Of The Theory Of Probability

Author : A.N. Kolmogorov
ISBN : 9780486821597
Genre : Mathematics
File Size : 31. 15 MB
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This famous little book remains a foundational text for the understanding of probability theory, important both to students beginning a serious study of probability and to historians of modern mathematics. 1956 second edition.

Measure Theory And Probability

Author : Malcolm Adams
ISBN : 9781461207795
Genre : Mathematics
File Size : 52. 6 MB
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"...the text is user friendly to the topics it considers and should be very accessible...Instructors and students of statistical measure theoretic courses will appreciate the numerous informative exercises; helpful hints or solution outlines are given with many of the problems. All in all, the text should make a useful reference for professionals and students."—The Journal of the American Statistical Association

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