TY - BOOK AU - Simon, Barry, AU - Simon, Barry TI - Harmonic Analysis: a Comprehensive Course in Analysis, SN - 9781470437794 U1 - 515.724 SIM PY - 2015/// CY - New Delhi PB - :University Press KW - Mathematics KW - Analysis KW - Mathematical analysis - KW - Mathematical analysis KW - Functional analysis -- Instructional exposition (textbooks, tutorial papers, KW - Functions of a complex variable -- Spaces and algebras of analytic functions -- BMO-spaces KW - Harmonic analysis on Euclidean spaces -- Nontrigonometric harmonic analysis -- Wavelets and other special systems N2 - 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 m ER -