Harmonic Analysis A Comprehensive Course in Analysis, Part 3
Harmonic Analysis A Comprehensive Course in Analysis, Part 3 (Paperback) Book Details:
Book Title: | Harmonic Analysis A Comprehensive Course in Analysis, Part 3 |
Author: | Barry Simon |
ISBN-13: | 9781470437787 |
Publication: | Universities Press |
Reprint Year: | 2017 |
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Harmonic Analysis A Comprehensive Course in Analysis, Part 3 Book Information:
prehensive course in analysis;/span> by Poincare Prize winner br>barry Simon is a five-volume set that can serve as a graduate-level analysis textbook with a lot of additional bonus information, including hundreds of problems and numerous notes that extend the text and provide important historical background. Depth and breadth of exposition make this set a valuable reference source for almost all areas of classical analysis. Part 3 returns to the themes of part 1 by discussing pointwise limits (going beyond the usual focus on the hardy-littlewood maximal function by including ergodic theorems and martingale convergence), br Harmonic functions and potential theory, frames and wavelets, H spaces (including Bounded mean oscillation (bmo)) and, in the final br>Chapter, lots of inequalities, including Sobolev spaces, calderon-zygmund estimates, and hyperactive semigroups..
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2017
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