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Harmonic Analysis: A Comprehensive Course in Analysis, Part 3
 
Barry Simon California Institute of Technology, Pasadena, CA
Front Cover for Harmonic Analysis
HardcoverISBN:  978-1-4704-1102-2
Product Code:  SIMON/3
List Price: $99.00
MAA Member Price: $89.10
AMS Member Price: $79.20
eBookISBN:  978-1-4704-2761-0
Product Code:  SIMON/3.E
List Price: $93.00
MAA Member Price: $83.70
AMS Member Price: $74.40
HardcoverISBN:  978-1-4704-1102-2
eBookISBN:  978-1-4704-2761-0
Product Code:  SIMON/3.B
List Price: $192.00$145.50
MAA Member Price: $172.80$130.95
AMS Member Price: $153.60$116.40
Front Cover for Harmonic Analysis
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  • Front Cover for Harmonic Analysis
  • Back Cover for Harmonic Analysis
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: $93.00
MAA Member Price: $83.70
AMS Member Price: $74.40
Hardcover ISBN:  978-1-4704-1102-2
eBookISBN:  978-1-4704-2761-0
Product Code:  SIMON/3.B
List Price: $192.00$145.50
MAA Member Price: $172.80$130.95
AMS Member Price: $153.60$116.40
  • 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 reviewers who would like to review an AMS book
    Desk Copy – for instructors who have adopted an AMS textbook for a course
    Examination Copy – for faculty considering an AMS textbook for a course
    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 reviewers who would like to review an AMS book
Desk Copy – for instructors who have adopted an AMS textbook for a course
Examination Copy – for faculty considering an AMS textbook for a course
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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