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Harmonic Analysis: A Comprehensive Course in Analysis, Part 3
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Harmonic Analysis: A Comprehensive Course in Analysis, Part 3 (Hardback)

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Synopsis

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.

Science & MathematicsMathematicsCalculus & mathematical analysisScience & MathematicsMathematicsMathematical foundations Publisher: American Mathematical Society Publication Date: 30/12/2015 ISBN-13: 9781470411022  Details: Type: Hardback Format: Books
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Barry Simon, California Institute of Technology, Pasadena, CA, USA.

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