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Harmonic Analysis: A Comprehensive Course in Analysis, Part 3

Barry Simon California Institute of Technology, Pasadena, CA
Available Formats:
Hardcover ISBN: 978-1-4704-1102-2
Product Code: SIMON/3
List Price: $99.00 MAA Member Price:$89.10
AMS Member Price: $79.20 Electronic ISBN: 978-1-4704-2761-0 Product Code: SIMON/3.E List Price:$93.00
MAA Member Price: $83.70 AMS Member Price:$74.40
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This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $148.50 MAA Member Price:$133.65
AMS Member Price: $118.80 Click above image for expanded view Harmonic Analysis: A Comprehensive Course in Analysis, Part 3 Barry Simon California Institute of Technology, Pasadena, CA Available Formats:  Hardcover ISBN: 978-1-4704-1102-2 Product Code: SIMON/3  List Price:$99.00 MAA Member Price: $89.10 AMS Member Price:$79.20
 Electronic ISBN: 978-1-4704-2761-0 Product Code: SIMON/3.E
 List Price: $93.00 MAA Member Price:$83.70 AMS Member Price: $74.40 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.  List Price:$148.50 MAA Member Price: $133.65 AMS Member Price:$118.80
• Book Details

2015; 759 pp
MSC: Primary 26; 31; 46; Secondary 30; 42;

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), 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.

Researchers (mathematicians and some applied mathematicians and physicists) using analysis, professors teaching analysis at the graduate level, graduate students who need any kind of analysis in their work.

This item is also available as part of a set:

• Chapters
• Chapter 1. Preliminaries
• Chapter 2. Pointwise convergence almost everywhere
• Chapter 3. Harmonic and subharmonic functions
• Chapter 4. Bonus chapter: Phase space analysis
• Chapter 5. $H^p$ spaces and boundary values of analytic functions on the unit disk
• Chapter 6. Bonus chapter: More inequalities

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2015; 759 pp
MSC: Primary 26; 31; 46; Secondary 30; 42;

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), 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.

• Chapter 5. $H^p$ spaces and boundary values of analytic functions on the unit disk