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Harmonic Analysis A Comprehensive Course in Analysis, Part 3
Barry Simon
Price
2050.00
ISBN
9781470437787
Language
English
Pages
784
Format
Paperback
Dimensions
158 x 240 mm
Year of Publishing
2017
Territorial Rights
Restricted
Imprint
Universities Press
Catalogues

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

Barry Simon: California Institute of Technology, Pasadena, CA

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