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Item Details
Title:
RANDOM FOURIER SERIES WITH APPLICATIONS TO HARMONIC ANALYSIS. (AM-101), VOLUME 101
By:
Michael B. Marcus, Gilles Pisier
Format:
Paperback
List price:
£62.00
Our price:
£49.60
Discount:
20
% off
You save:
£12.40
ISBN 10:
0691082928
ISBN 13:
9780691082929
Availability:
Usually dispatched within 1-3 weeks.
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Stock:
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0
available
Publisher:
PRINCETON UNIVERSITY PRESS
Pub. date:
1 November, 1981
Series:
Annals of Mathematics Studies 101
Pages:
152
Synopsis:
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 uniformly a.s. it also satisfies the central limit theorem. The methods developed are used to study some questions in harmonic analysis that are not intrinsically random. For example, a new characterization of Sidon sets is derived.The major results depend heavily on the Dudley-Fernique necessary and sufficient condition for the continuity of stationary Gaussian processes and on recent work on sums of independent Banach space valued random variables. It is noteworthy that the proofs for the Abelian case immediately extend to the non-Abelian case once the proper definition of random Fourier series is made. In doing this the authors obtain new results on sums of independent random matrices with elements in a Banach space. The final chapter of the book suggests several directions for further research.
Publication:
US
Imprint:
Princeton University Press
Returns:
Returnable
Some other items by this author:
ASYMPTOTIC PROPERTIES OF PERMANENTAL SEQUENCES
COMPLEX INTERPOLATION BETWEEN HILBERT, BANACH AND OPERATOR SPACES (PB)
HIGH DIMENSIONAL PROBABILITY III (HB)
HIGH DIMENSIONAL PROBABILITY III (PB)
INTERSECTION LOCAL TIMES, LOOP SOUPS AND PERMANENTAL WICK POWERS (PB)
INTRODUCTION TO OPERATOR SPACE THEORY (PB)
MARKOV PROCESSES, GAUSSIAN PROCESSES, AND LOCAL TIMES
MARKOV PROCESSES, GAUSSIAN PROCESSES, AND LOCAL TIMES (HB)
MARKOV PROCESSES, GAUSSIAN PROCESSES, AND LOCAL TIMES (PB)
MARTINGALES IN BANACH SPACES (HB)
PISIER:FACTOR LINEAR OPER CBMS 60 P EXPANDED LECTURES (PB)
PROBABILITY IN BANACH SPACES 7 (PB)
PROBABILITY IN BANACH SPACES, 9 (HB)
PROBABILITY IN BANACH SPACES, 9 (PB)
RANDOM FOURIER SERIES WITH APPLICATIONS TO HARMONIC ANALYSIS. (AM-101)
RENORMALIZED SELF-INTERSECTION LOCAL TIMES AND WICK POWER CHAOS PROCESSES (PB)
SIMILARITY PROBLEMS AND COMPLETELY BOUNDED MAPS (PB)
SIMILARITY PROBLEMS AND COMPLETELY BOUNDED MAPS (PB)
TENSOR PRODUCTS OF C*-ALGEBRAS AND OPERATOR SPACES
TENSOR PRODUCTS OF C*-ALGEBRAS AND OPERATOR SPACES (HB)
THE OPERATOR HILBERT SPACE OH, COMPLEX INTERPOLATION AND TENSOR NORMS (PB)
THE VOLUME OF CONVEX BODIES AND BANACH SPACE GEOMETRY
THE VOLUME OF CONVEX BODIES AND BANACH SPACE GEOMETRY (PB)
VOLUME OF CONVEX BODIES AND BANACH SPACE GEOMETRY (HB)
XI-RADICAL PROCESSES AND RANDOM FOURIER SERIES (PB)
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