Modern Fourier Analysis

Loukas Grafakos

ISBN 10: 1493950789 / ISBN 13: 9781493950782

Editore: Springer New York, Springer New York, 2016

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Druck auf Anfrage Neuware - Printed after ordering - This text is aimed at graduate students in mathematics and to interested researchers who wish to acquire an in depth understanding of Euclidean Harmonic analysis. The text covers modern topics and techniques in function spaces, atomic decompositions, singular integrals of nonconvolution type and the boundedness and convergence of Fourier series and integrals. The exposition and style are designed to stimulate further study and promote research. Historical information and references are included at the end of each chapter.This third edition includes a new chapter entitled 'Multilinear Harmonic Analysis' which focuses on topics related to multilinear operators and their applications. Sections 1.1 and 1.2 are also new in this edition. Numerous corrections have been made to the text from the previous editions and several improvements have been incorporated, such as the adoption of clear and elegant statements. A few more exercises have been added with relevant hints when necessary.

Codice articolo 9781493950782

Dati bibliografici

• Titolo: Modern Fourier Analysis
• Editore: Springer New York, Springer New York
• Data di pubblicazione: 2016
• Lingua: Inglese
• ISBN 10: 1493950789
• ISBN 13: 9781493950782
• Rilegatura: Taschenbuch
• Condizione: Neu
• Dimensioni: 235 L x 155 A x 35 P (millimetri) 235 millimetri di larghezza per 155 millimetri di altezza per 35 millimetri di profondità
• Peso: 955 grammi

Descrizione articolo

Riassunto

This text is aimed at graduate students in mathematics and to interested researchers who wish to acquire an in depth understanding of Euclidean Harmonic analysis. The text covers modern topics and techniques in function spaces, atomic decompositions, singular integrals of nonconvolution type and the boundedness and convergence of Fourier series and integrals. The exposition and style are designed to stimulate further study and promote research. Historical information and references are included at the end of each chapter.

This third edition includes a new chapter entitled "Multilinear Harmonic Analysis" which focuses on topics related to multilinear operators and their applications. Sections 1.1 and 1.2 are also new in this edition. Numerous corrections have been made to the text from the previous editions and several improvements have been incorporated, such as the adoption of clear and elegant statements. A few more exercises have been added with relevant hints when necessary.

Informazioni sull?autore

Loukas Grafakos is a Professor of Mathematics at the University of Missouri at Columbia.