Description

Book Synopsis

In a series of three papers published in 1930 and 1931, Paley and Zygmund 44 studied a variety of problems concerning series of independent random functions and raised the question of the uniform convergence a.s. of the random Fourier series.



Table of Contents
*Frontmatter, pg. i*CONTENTS, pg. v*CHAPTER I: INTRODUCTION, pg. 1*CHAPTER II: PRELIMINARIES, pg. 16*CHAPTER III: RANDOM FOURIER SERIES ON LOCALLY COMPACT ABELIAN GROUPS, pg. 51*CHAPTER IV: THE CENTRAL LIMIT THEOREM AND RELATED QUESTIONS, pg. 65*CHAPTER V: RANDOM FOURIER SERIES ON COMPACT NON-ABELIAN GROUPS, pg. 74*CHAPTER VI: APPLICATIONS TO HARMONIC ANALYSIS, pg. 105*CHAPTER VII: ADDITIONAL RESULTS AND COMMENTS, pg. 122*REFERENCES, pg. 144*INDEX OF TERMINOLOGY, pg. 148*INDEX OF NOTATIONS, pg. 149*Backmatter, pg. 151

Random Fourier Series with Applications to

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    A Paperback / softback by Michael B. Marcus, Gilles Pisier

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      Book details

      Publisher Princeton University Press
      Published 21 November 1981
      ISBN-13 9780691082929
      978-0691082929
      ISBN-10 0691082928

      Description

      Book Synopsis

      In a series of three papers published in 1930 and 1931, Paley and Zygmund 44 studied a variety of problems concerning series of independent random functions and raised the question of the uniform convergence a.s. of the random Fourier series.



      Table of Contents
      *Frontmatter, pg. i*CONTENTS, pg. v*CHAPTER I: INTRODUCTION, pg. 1*CHAPTER II: PRELIMINARIES, pg. 16*CHAPTER III: RANDOM FOURIER SERIES ON LOCALLY COMPACT ABELIAN GROUPS, pg. 51*CHAPTER IV: THE CENTRAL LIMIT THEOREM AND RELATED QUESTIONS, pg. 65*CHAPTER V: RANDOM FOURIER SERIES ON COMPACT NON-ABELIAN GROUPS, pg. 74*CHAPTER VI: APPLICATIONS TO HARMONIC ANALYSIS, pg. 105*CHAPTER VII: ADDITIONAL RESULTS AND COMMENTS, pg. 122*REFERENCES, pg. 144*INDEX OF TERMINOLOGY, pg. 148*INDEX OF NOTATIONS, pg. 149*Backmatter, pg. 151

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