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Harmonic Analysis: A Comprehensive Course in Analysis, Part 3
 
Barry Simon California Institute of Technology, Pasadena, CA
Harmonic Analysis
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
eBook ISBN:  978-1-4704-2761-0
Product Code:  SIMON/3.E
List Price: $95.00
MAA Member Price: $85.50
AMS Member Price: $76.00
Hardcover ISBN:  978-1-4704-1102-2
eBook: ISBN:  978-1-4704-2761-0
Product Code:  SIMON/3.B
List Price: $194.00 $146.50
MAA Member Price: $174.60 $131.85
AMS Member Price: $155.20 $117.20
Harmonic Analysis
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Harmonic Analysis: A Comprehensive Course in Analysis, Part 3
Barry Simon California Institute of Technology, Pasadena, CA
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
eBook ISBN:  978-1-4704-2761-0
Product Code:  SIMON/3.E
List Price: $95.00
MAA Member Price: $85.50
AMS Member Price: $76.00
Hardcover ISBN:  978-1-4704-1102-2
eBook ISBN:  978-1-4704-2761-0
Product Code:  SIMON/3.B
List Price: $194.00 $146.50
MAA Member Price: $174.60 $131.85
AMS Member Price: $155.20 $117.20
  • 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.

    Readership

    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:
  • Table of Contents
     
     
    • 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
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
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.

Readership

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
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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