000			01724nam a22001937a 4500
003			OSt
005			20241106123817.0
008			190124b ||||| |||| 00| 0 eng d
020			_a978-1-4704-1102-2
040			_cSurya Book Supplier _aICTS-TIFR
050			_aQA300
100			_aSimon Barry
245			_aHarmonic analysis _b: a comprehensive course in analysis, part 3
260			_aRhode Island: _bAmerican Mathematical Society, _c[c2015]
300			_a759 p
505			_aChapter 1. Preliminaries Chapter 2. Pointwise convergence almost everywhere Chapter 3. Harmonic and subharmonic functions Chapter 4. Bonus chapter: Phase space analysis Chapter 5. Hp spaces and boundary values of analytic functions on the unit disk Chapter 6. Bonus chapter: More inequalities
520			_aA 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, Hp spaces (including bounded mean oscillation (BMO)) and, in the final chapter, lots of inequalities, including Sobolev spaces, Calderon-Zygmund estimates, and hypercontractive semigroups. --- summary provided by publisher
942			_2lcc _cBK
999			_c2194 _d2194