中南民族大学图书馆书目检索系统

Online Public Access Catalogue

题名/责任者:

Functional analysis : introduction to further topics in analysis / Elias M. Stein & Rami Shakarchi.

出版发行项:

[北京 : 世界图书出版公司, 2013.]

ISBN:

9787510050350 (pbk.)

ISBN:

9780691113876

载体形态项:

xv, 423 p. : ill. ; 23 cm.

变异题名:

泛函分析

丛编说明:

数学经典教材 (影印版)

丛编说明:

Princeton lectures in analysis ; 4

个人责任者:

Stein, Elias M., 1931-

附加个人名称:

Shakarchi, Rami.

论题主题:

Functional analysis.

中图法分类号:

O177

一般附注:

Chinese title on cover.

书目附注:

Includes bibliographical references (p. 409-416) and index.

摘要附注:

"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 second half of the book introduces readers to other central topics in analysis, such as probability theory and Brownian motion, which culminates in the solution of Dirichlet's problem. 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. 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" --

摘要附注:

"This book covers such topics as Lp spaces, distributions, Baire category, probability theory and Brownian motion, several complex variables and oscillatory integrals in Fourier analysis. The authors focus on key results in each area, highlighting their importance and the organic unity of the subject"--

原版附注:

Reprint. Originally published: Princeton : Princeton University Press, c2011. 9780691113876.

豆瓣简介：