ENGLISH

Harmonic Analysis: A Comprehensive Course in Analysis, Part 3

By Barry Simon

Book information

Publisher
American Mathematical Society
Year
2015
ISBN
1470411024, 978-1-4704-1102-2, 9781470427610, 1470427613
Language
english
Format
PDF
Filesize
5 MB (5443401 bytes)
Pages
759\779
Library
kolxoz
Time added
2017-10-15 16:00:00
Harmonische Analyse

Description

A Comprehensive Course in Analysis by Poincare Prize winner 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), harmonic functions and potential theory, frames and wavelets, $H^p$ spaces (including bounded mean oscillation (BMO)) and, in the final chapter, lots of inequalities, including Sobolev spaces, Calderon-Zygmund estimates, and hypercontractive semigroups

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