Probability For Analysts  book cover
1st Edition

Probability For Analysts

ISBN 9780412041716
Published April 1, 1994 by Chapman and Hall/CRC
342 Pages

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Book Description

This book will enable researchers and students of analysis to more easily understand research papers in which probabilistic methods are used to prove theorems of analysis, many of which have no other known proofs. The book assumes a course in measure and integration theory but requires little or no background in probability theory. It emplhasizes topics of interest to analysts, including random series, martingales and Brownian motion.

Table of Contents

Fourier transforms on Rd
Weak convergence in M1 (Rd)
Infinite series of random vectors
Normal distributions and central limits
Projective limits and infinite products of probability measures
Brownian motions
Random Fourier series of continuous functions
Fourier coefficients of continuous functions

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Stromberg, Karl