{"product_id":"harmonic-analysis-a-comprehensive-course-in-analysis-part-3-9781470411022","title":"Harmonic Analysis: A Comprehensive Course in Analysis  Part 3","description":"\u003cp\u003eA 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  $Hp$ spaces (including bounded mean oscillation (BMO)) and  in the final chapter  lots of inequalities  including Sobolev spaces  Calderon-Zygmund estimates  and hypercontractive semigroups.\u003c\/p\u003e","brand":"My Store","offers":[{"title":"Default Title","offer_id":45665878868021,"sku":"ByrdShop_1470411024","price":160.68,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0627\/8139\/0901\/files\/9781470411022.jpg?v=1782412084","url":"https:\/\/atxbooks.com\/products\/harmonic-analysis-a-comprehensive-course-in-analysis-part-3-9781470411022","provider":"ATX Books","version":"1.0","type":"link"}