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.
General
| Imprint: |
American Mathematical Society
|
| Country of origin: |
United States |
| Release date: |
December 2015 |
| Authors: |
Barry Simon
|
| Dimensions: |
254 x 178mm (L x W) |
| Format: |
Hardcover
|
| Pages: |
759 |
| ISBN-13: |
978-1-4704-1102-2 |
| Categories: |
Books
|
| LSN: |
1-4704-1102-4 |
| Barcode: |
9781470411022 |
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