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Functional Analysis: Introduction to Further Topics in Analysis - Couverture rigide

Livre 4 sur 4: Princeton Lectures in Analysis

Stein, Elias M.; Shakarchi, Rami

 
9780691113876: Functional Analysis: Introduction to Further Topics in Analysis
Couverture rigide
ISBN 10 : 0691113874 ISBN 13 : 9780691113876
Editeur : Princeton University Press, 2011

Synopsis

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

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l'auteur

Elias M. Stein is the Albert Baldwin Dod Professor of Mathematics at Princeton University. Rami Shakarchi received his PhD in mathematics from Princeton University. They are the coauthors of Complex Analysis, Fourier Analysis, and Real Analysis (all Princeton).

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Princeton University Press
Date d'édition
2011
Langue
anglais
ISBN 10 
0691113874
ISBN 13 
9780691113876
Reliure
Relié
Nombre de pages
448
Coordonnées du fabricant
non disponible
Personne responsable
non disponible