Stein functional analysis epub

A comprehensive and authoritative text that treats some of the main topics of modern analysis A look at basic functional analysis and its applications in harmonic analysis, probability theory, and several complex variables Key results in each area discussed in relation to other areas of mathematics Highlights the organic unity of large areas of analysis traditionally split into subfields Interesting exercises and problems illustrate ideas Clear proofs provided Media Functional Analysis.

Add Book To Favorites. Save Not today. Format ebook. ISBN Author Elias M. Publisher Princeton University Press. Release 22 August Subjects Mathematics Nonfiction. Search for a digital library with this title Search by city, ZIP code, or library name Learn more about precise location detection.

View more libraries Many of our ebooks are available for purchase from these online vendors:. Many of our ebooks are available through library electronic resources including these platforms:. This is the fourth and final volume in the Princeton Lectures in Analysis, a series of textbooks that aim to present, in an integrated manner, the core areas of analysis.

Beginning with the basic facts of functional analysis, this volume looks at Banach spaces, Lp spaces, and distribution theory, and highlights their roles in harmonic analysis. The authors then use the Baire category theorem to illustrate several points, including the existence of Besicovitch sets. The concluding chapters explore several complex variables and oscillatory integrals in Fourier analysis, and illustrate applications to such diverse areas as nonlinear dispersion equations and the problem of counting lattice points.

Throughout the book, the authors focus on key results in each area and stress the organic unity of the subject. By page 60, you've had a decent course in functional analysis and you've got pages left. Cook, Endeavour. Reading this book is an enjoyable experience.

The reviewer highly recommends it for students and professors interested in a clear exposition of these topics. Moreover, it plays the role of an instructional book in various branches of mathematical analysis, geometry, probability, and partial differential equations.