Description
Book SynopsisBeginning with the basic facts of functional analysis, this title looks at Banach spaces, Lp spaces, and distribution theory, and highlights their roles in harmonic analysis. It uses the Baire category theorem to illustrate several points, including the existence of Besicovitch sets.
Trade Review"Functional Analysis by Elias Stein and Rami Shakarchi is a fast-paced book on functional analysis and related topics. By page 60, you've had a decent course in functional analysis and you've got 360 pages left."--John D. Cook, Endeavour blog "Characteristically, Stein and Shakarchi reward readers for hard work by making the material pay off."--Choice "This excellent book ends with a proof of the continuity of the averaging operator and applications to the determination of remainder terms in asymptotic formulas for the counting function of lattice points. Reading this book is an enjoyable experience. The reviewer highly recommends it for students and professors interested in a clear exposition of these topics."--Stevan Pilipovic, MathSciNet, Mathematical Reviews on the Web "This book is accessible for graduate students. Moreover, it plays the role of an instructional book in various branches of mathematical analysis, geometry, probability, and partial differential equations. In most mathematical centers one cannot expect that such lectures will be offered as a semester-long course to students, but both students and teachers have here an excellent guide for learning and teaching the topics presented in this volume... Reading this book is an enjoyable experience. The reviewer highly recommends it for students and professors interested in a clear exposition of these topics."--Stevan Pilipovit, Mathematical Reviews
