Random Fourier Series with Applications to Harmonic Analysis. (AM-101), Volume 101 /

Random Fourier Series with Applications to Harmonic Analysis. (AM-101), Volume 101 / / Gilles Pisier, Michael B. Marcus.

In this book the authors give the first necessary and sufficient conditions for the uniform convergence a.s. of random Fourier series on locally compact Abelian groups and on compact non-Abelian groups. They also obtain many related results. For example, whenever a random Fourier series converges un...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020
VerfasserIn:
Marcus, Michael B.,
Pisier, Gilles,
Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2016]
©1982
Year of Publication:2016
Language:English
Series:Annals of Mathematics Studies ; 101
Online Access:
Physical Description:1 online resource (152 p.)
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Table of Contents:
  • Frontmatter
  • CONTENTS
  • CHAPTER I: INTRODUCTION
  • CHAPTER II: PRELIMINARIES
  • CHAPTER III: RANDOM FOURIER SERIES ON LOCALLY COMPACT ABELIAN GROUPS
  • CHAPTER IV: THE CENTRAL LIMIT THEOREM AND RELATED QUESTIONS
  • CHAPTER V: RANDOM FOURIER SERIES ON COMPACT NON-ABELIAN GROUPS
  • CHAPTER VI: APPLICATIONS TO HARMONIC ANALYSIS
  • CHAPTER VII: ADDITIONAL RESULTS AND COMMENTS
  • REFERENCES
  • INDEX OF TERMINOLOGY
  • INDEX OF NOTATIONS
  • Backmatter

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