Harmonic analysis

Author(s)

• Simon, Barry

Bibliographic Information

Harmonic analysis

Barry Simon

（A comprehensive course in analysis, pt. 3）

American Mathematical Society, c2015

Note

Includes bibliographical references and indexes

Description and Table of Contents

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.

Table of Contents

Preliminaries Pointwise convergence almost everywhere Harmonic and subharmonic functions Bonus chapter: Phase space analysis $H^p$ spaces and boundary values of analytic functions on the unit disk Bonus chapter: More inequalities Bibliography Symbol index Subject index Author index Index of capsule biographies

by "Nielsen BookData"

Details

• NCID: BB20372268
• ISBN:
  • 9781470411022
• Country Code: us
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Providence, R.I.
• Pages/Volumes: xviii, 759 p.
• Size: 27 cm
• Classification:
  • LCC : QA300
  • DC23 : 515/.2433
• Subject Headings:
  • LCSH : Mathematical analysis -- Textbooks
  • LCSH : Harmonic analysis -- Textbooks
• Parent Bibliography ID:
  • BB20268142