Loukas Grafakos: Modern Fourier Analysis

Cover: 9781441918567 | Modern Fourier Analysis | Loukas Grafakos | Taschenbuch | Englisch

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Beschreibung

The great response to the publication of the book Classical and Modern Fourier Analysishasbeenverygratifying.IamdelightedthatSpringerhasofferedtopublish the second edition of this book in two volumes: Classical Fourier Analysis, 2nd Edition, and Modern Fourier Analysis, 2nd Edition. These volumes are mainly addressed to graduate students who wish to study Fourier analysis. This second volume is intended to serve as a text for a seco- semester course in the subject. It is designed to be a continuation of the rst v- ume. Chapters 1¿5 in the rst volume contain Lebesgue spaces, Lorentz spaces and interpolation, maximal functions, Fourier transforms and distributions, an introd- tion to Fourier analysis on the n-torus, singular integrals of convolution type, and Littlewood¿Paley theory. Armed with the knowledgeof this material, in this volume,the reader encounters more advanced topics in Fourier analysis whose development has led to important theorems. These theorems are proved in great detail and their proofs are organized to present the ow of ideas. The exercises at the end of each section enrich the material of the corresponding section and provide an opportunity to develop ad- tional intuition and deeper comprehension. The historical notes in each chapter are intended to provide an account of past research but also to suggest directions for further investigation. The auxiliary results referred to the appendix can be located in the rst volume.

Zusammenfassung

Historical notes at the end of each chapter

Numerous exercises for each chapter

User-friendly exposition with examples illustrating the definitions and ideas

Inhaltsverzeichnis

Smoothness and Function Spaces.- and Carleson Measures.- Singular Integrals of Nonconvolution Type.- Weighted Inequalities.- Boundedness and Convergence of Fourier Integrals.- Time Frequency Analysis and the Carleson#x2013;Hunt Theorem.

Details

Erscheinungsjahr:	2010
Fachbereich:	Analysis
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
ISBN-13:	9781441918567
ISBN-10:	1441918566
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Grafakos, Loukas
Auflage:	Softcover reprint of hardcover 2nd edition 2009
Hersteller:	Springer US Springer New York
Verantwortliche Person für die EU:	preigu, Ansas Meyer, Lengericher Landstr. 19, D-49078 Osnabrück, mail@preigu.de
Maße:	235 x 155 x 29 mm
Von/Mit:	Loukas Grafakos
Erscheinungsdatum:	19.11.2010
Gewicht:	0,785 kg