TY - BOOK AU - Simon, Barry TI - Harmonic Analysis T2 - a Comprehensive Course in Analysis SN - 9781470437787 (PB) PY - 2023/// CY - Providence PB - American Mathematical Society (AMS) KW - Sobolev spaces and other spaces of "smooth" functions, embedding theorems, trace theorems KW - Functions of a complex variable Spaces and algebras of analytic functions BMO-spaces 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 -