Description

Book Synopsis
A Comprehensive Course in Analysis by 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. Part 3 returns to the themes of Part 1 by discussing pointwise limits, harmonic functions and potential theory, frames and wavelets, $H^p$ spaces and inequalities.

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

Harmonic Analysis A Comprehensive Course in

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    A Hardback by Barry Simon

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      View other formats and editions of Harmonic Analysis A Comprehensive Course in by Barry Simon

      Publisher: MP-AMM American Mathematical
      Publication Date: 12/30/2015 12:00:00 AM
      ISBN13: 9781470411022, 978-1470411022
      ISBN10: 1470411024

      Description

      Book Synopsis
      A Comprehensive Course in Analysis by 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. Part 3 returns to the themes of Part 1 by discussing pointwise limits, harmonic functions and potential theory, frames and wavelets, $H^p$ spaces and inequalities.

      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

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