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Modern Fourier Analysis - Grafakos, Loukas
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Modern Fourier Analysis - gebrauchtes Buch

ISBN: 9780387094335

ID: 1165639

The primary goal of this text is to present the theoretical foundation of the field of Fourier analysis. This book is mainly addressed to graduate students in mathematics and is designed to serve for a three-course sequence on the subject. The only prerequisite for understanding the text is satisfactory completion of a course in measure theory, Lebesgue integration, and complex variables. This book is intended to present the selected topics in some depth and stimulate further study. Although the emphasis falls on real variable methods in Euclidean spaces, a chapter is devoted to the fundamentals of analysis on the torus. This material is included for historical reasons, as the genesis of Fourier analysis can be found in trigonometric expansions of periodic functions in several variables. While the 1st edition was published as a single volume, the new edition will contain 120 pp of new material, with an additional chapter on time-frequency analysis and other modern topics. As a result, the book is now being published in 2 separate volumes, the first volume containing the classical topics (Lp Spaces, Littlewood-Paley Theory, Smoothness, etc...), the second volume containing the modern topics (weighted inequalities, wavelets, atomic decomposition, etc...). From a review of the first edition: a oeGrafakosa (TM)s book is very user-friendly with numerous examples illustrating the definitions and ideas. It is more suitable for readers who want to get a feel for current research. The treatment is thoroughly modern with free use of operators and functional analysis. Moreover, unlike many authors, Grafakos has clearly spent a great deal of time preparing the exercises.a - Ken Ross, MAA Online Modern Fourier Analysis Grafakos, Loukas, Springer

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MODERN FOURIER ANALYSIS, 2ND EDITION - GRAFAKOS, LOUKAS
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Details zum Buch
Modern Fourier Analysis
Autor:

Grafakos, Loukas

Titel:

Modern Fourier Analysis

ISBN-Nummer:

0387094334

The primary goal of this text is to present the theoretical foundation of the field of Fourier analysis. This book is mainly addressed to graduate students in mathematics and is designed to serve for a three-course sequence on the subject. The only prerequisite for understanding the text is satisfactory completion of a course in measure theory, Lebesgue integration, and complex variables. This book is intended to present the selected topics in some depth and stimulate further study. Although the emphasis falls on real variable methods in Euclidean spaces, a chapter is devoted to the fundamentals of analysis on the torus. This material is included for historical reasons, as the genesis of Fourier analysis can be found in trigonometric expansions of periodic functions in several variables. While the 1st edition was published as a single volume, the new edition will contain 120 pp of new material, with an additional chapter on time-frequency analysis and other modern topics. As a result, the book is now being published in 2 separate volumes, the first volume containing the classical topics (Lp Spaces, Littlewood-Paley Theory, Smoothness, etc...), the second volume containing the modern topics (weighted inequalities, wavelets, atomic decomposition, etc...). From a review of the first edition: "Grafakos's book is very user-friendly with numerous examples illustrating the definitions and ideas. It is more suitable for readers who want to get a feel for current research. The treatment is thoroughly modern with free use of operators and functional analysis. Moreover, unlike many authors, Grafakos has clearly spent a great deal of time preparing the exercises." - Ken Ross, MAA Online

Detailangaben zum Buch - Modern Fourier Analysis


EAN (ISBN-13): 9780387094335
ISBN (ISBN-10): 0387094334
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 2008
Herausgeber: Springer-Verlag GmbH
507 Seiten
Gewicht: 0,885 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 14.01.2007 11:59:54
Buch zuletzt gefunden am 20.05.2016 16:38:08
ISBN/EAN: 0387094334

ISBN - alternative Schreibweisen:
0-387-09433-4, 978-0-387-09433-5

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