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Cover: 9781493950782 | Modern Fourier Analysis | Loukas Grafakos | Taschenbuch | Paperback
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Modern Fourier Analysis
Taschenbuch von Loukas Grafakos
Sprache: Englisch

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Beschreibung
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.
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.
Über den Autor
Loukas Grafakos is a Professor of Mathematics at the University of Missouri at Columbia.
Zusammenfassung

New edition extensively revised and updated, including 1000 different corrections and improvements in the existing text

Includes a new chapter, "Multilinear Harmonic Analysis", including sections on multilinear operators, multilinear interpolation, multilinear multiplier operators, Calderón-Zygmund operators of several functions and multiple weights and weighted norm inequalities

Provides motivation for the reader with more examples and applications, new and more relevant hints for the existing exercises, and about 20-30 new exercises in the existing chapters

Includes supplementary material: [...]

Request lecturer material: [...]

Inhaltsverzeichnis
Preface.- Smoothness and Function Spaces.- BMO and Carleson Measures.- Singular Integrals of Nonconvolution Type.- Weighted Inequalities.- Boundedness and Convergence of Fourier Integrals.- Time-Frequency Analysis and the Carleson-Hunt Theorem.- Multilinear Harmonic Analysis.- Glossary.- References.- Index.
Details
Erscheinungsjahr: 2016
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Graduate Texts in Mathematics
Inhalt: xvi
624 S.
19 s/w Illustr.
1 farbige Illustr.
624 p. 20 illus.
1 illus. in color.
ISBN-13: 9781493950782
ISBN-10: 1493950789
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Grafakos, Loukas
Auflage: Softcover reprint of the original 3rd ed. 2014
Hersteller: Springer New York
Springer US, New York, N.Y.
Graduate Texts in Mathematics
Maße: 235 x 155 x 35 mm
Von/Mit: Loukas Grafakos
Erscheinungsdatum: 23.08.2016
Gewicht: 0,955 kg
Artikel-ID: 103559656
Über den Autor
Loukas Grafakos is a Professor of Mathematics at the University of Missouri at Columbia.
Zusammenfassung

New edition extensively revised and updated, including 1000 different corrections and improvements in the existing text

Includes a new chapter, "Multilinear Harmonic Analysis", including sections on multilinear operators, multilinear interpolation, multilinear multiplier operators, Calderón-Zygmund operators of several functions and multiple weights and weighted norm inequalities

Provides motivation for the reader with more examples and applications, new and more relevant hints for the existing exercises, and about 20-30 new exercises in the existing chapters

Includes supplementary material: [...]

Request lecturer material: [...]

Inhaltsverzeichnis
Preface.- Smoothness and Function Spaces.- BMO and Carleson Measures.- Singular Integrals of Nonconvolution Type.- Weighted Inequalities.- Boundedness and Convergence of Fourier Integrals.- Time-Frequency Analysis and the Carleson-Hunt Theorem.- Multilinear Harmonic Analysis.- Glossary.- References.- Index.
Details
Erscheinungsjahr: 2016
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Graduate Texts in Mathematics
Inhalt: xvi
624 S.
19 s/w Illustr.
1 farbige Illustr.
624 p. 20 illus.
1 illus. in color.
ISBN-13: 9781493950782
ISBN-10: 1493950789
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Grafakos, Loukas
Auflage: Softcover reprint of the original 3rd ed. 2014
Hersteller: Springer New York
Springer US, New York, N.Y.
Graduate Texts in Mathematics
Maße: 235 x 155 x 35 mm
Von/Mit: Loukas Grafakos
Erscheinungsdatum: 23.08.2016
Gewicht: 0,955 kg
Artikel-ID: 103559656
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