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Titre : Classical Fourier Analysis [3rd ed.] Type de document : texte imprimé Auteurs : Loukas Grafakos, Auteur Mention d'édition : Third edition Editeur : Berlin ; Heidelberg ; Dordrecht ; New York ; London ; Paris ; Wien : Springer Verlag Année de publication : 2014, cop.2014 Collection : Graduate texts in mathematics, ISSN 0072-5285 num. 249 Importance : 1 vol. (XVII-638 p.) Présentation : fig., couv. ill. en coul. Format : 25 cm ISBN/ISSN/EAN : 978-1-4939-3916-9 Note générale : PPN 183670485 Langues : Anglais (eng) Tags : Fourier, Analyse de Fourier, Séries de Littlewood-Paley, Théorie de Fonctions gamma Fonctions bêta Bessel, Fonctions de Fourier analysis Fourier series Littlewood-Paley theory Gamma functions Beta functions Bessel functions Rademacher functions Index. décimale : 515.243 3 Analyse de Fourier et analyse harmonique Résumé : The main goal of this text is to present the theoretical foundation of the field of Fourier analysis on Euclidean spaces. It covers classical topics such as interpolation, Fourier series, the Fourier transform, maximal functions, singular integrals, and Littlewood-Paley theory. The primary readership is intended to be graduate students in mathematics with the prerequisite including satisfactory completion of courses in real and complex variables. The coverage of topics and exposition style are designed to leave no gaps in understanding and stimulate further study. This third edition includes new Sections 3.5, 4.4, 4.5 as well as a new chapter on "Weighted Inequalities," which has been moved from GTM 250, 2nd Edition. Appendices I and B.9 are also new to this edition. Countless corrections and improvements have been made to the material from the second edition. Additions and improvements include: more examples and applications, new and more relevant hints for the existing exercises, new exercises, and improved references Note de contenu : Bibliogr. p. 617-631. Glossaire. Index p.633-638 Classical Fourier Analysis [3rd ed.] [texte imprimé] / Loukas Grafakos, Auteur . - Third edition . - Berlin ; Heidelberg ; Dordrecht ; New York ; London ; Paris ; Wien : Springer Verlag, 2014, cop.2014 . - 1 vol. (XVII-638 p.) : fig., couv. ill. en coul. ; 25 cm. - (Graduate texts in mathematics, ISSN 0072-5285; 249) .
ISBN : 978-1-4939-3916-9
PPN 183670485
Langues : Anglais (eng)
Tags : Fourier, Analyse de Fourier, Séries de Littlewood-Paley, Théorie de Fonctions gamma Fonctions bêta Bessel, Fonctions de Fourier analysis Fourier series Littlewood-Paley theory Gamma functions Beta functions Bessel functions Rademacher functions Index. décimale : 515.243 3 Analyse de Fourier et analyse harmonique Résumé : The main goal of this text is to present the theoretical foundation of the field of Fourier analysis on Euclidean spaces. It covers classical topics such as interpolation, Fourier series, the Fourier transform, maximal functions, singular integrals, and Littlewood-Paley theory. The primary readership is intended to be graduate students in mathematics with the prerequisite including satisfactory completion of courses in real and complex variables. The coverage of topics and exposition style are designed to leave no gaps in understanding and stimulate further study. This third edition includes new Sections 3.5, 4.4, 4.5 as well as a new chapter on "Weighted Inequalities," which has been moved from GTM 250, 2nd Edition. Appendices I and B.9 are also new to this edition. Countless corrections and improvements have been made to the material from the second edition. Additions and improvements include: more examples and applications, new and more relevant hints for the existing exercises, new exercises, and improved references Note de contenu : Bibliogr. p. 617-631. Glossaire. Index p.633-638 Réservation
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Code-barres Cote Support Localisation Section Disponibilité Nom du donateur OCA-NI-010946 010946 Ouvrages / Books OCA Bib. Nice Mont-Gros NI-Salle de lecture-Ouvrages Sorti jusqu'au 08/04/2025
Titre : Modern Fourier Analysis [3rd edition] Type de document : texte imprimé Auteurs : Loukas Grafakos, Auteur Mention d'édition : Third edition Editeur : Berlin ; Heidelberg ; Dordrecht ; New York ; London ; Paris ; Wien : Springer Verlag Année de publication : 2014 Collection : Graduate texts in mathematics, ISSN 0072-5285 num. 250 Importance : 1 vol. (XVI-624 p.) Présentation : fig., couv. ill. en coul. Format : 25 cm ISBN/ISSN/EAN : 978-1-4939-5078-2 Note générale : PPN 18287687X Langues : Anglais (eng) Tags : Fourier, Analyse de Analyse harmonique (mathématiques) Mathématique -- Manuels d' enseignement supérieur Sobolev, Espaces de Besov, Espaces de Hardy, Espaces de Lipschitz, Espaces Triebel-Lizorkin, Espaces de Littlewood-Paley, Théorie de Fourier analysis Harmonic analysis Functional analysis Mathematics -- Textbooks Sobolev spaces Besov spaces Hardy spaces Lipschitz spaces Triebel-Lizorkin spaces Littlewood-Paley theory Index. décimale : 515.243 3 Analyse de Fourier et analyse harmonique Résumé : This text is addressed to 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. Reviews from the Second Edition: “The books cover a large amount of mathematics. They are certainly a valuable and useful addition to the existing literature and can serve as textbooks or as reference books. Students will especially appreciate the extensive collection of exercises.” —Andreas Seeger, Mathematical Reviews “The exercises at the end of each section supplement the material of the section nicely and provide a good chance to develop additional intuition and deeper comprehension. The historical notes in each chapter are intended to provide an account of past research as well as to suggest directions for further investigation. The volume is mainly addressed to graduate students who wish to study harmonic analysis.” — Leonid Golinskii, zbMATH. Note de contenu : 1. Smoothness and Function Spaces (p.1) - 2. Hardy spaces, Besov spaces, and Tribel-Lizorkin spaces (p.55)- 3. BMO and Carleson Measures (p.153) - 4. Singular Integrals of Nonconvolution Type (p.209) -- 5. Boundedness and Convergence of Fourier Integrals (p.327) -- 6.Time-Frequency Analysis and the Carleson-Hunt Theorem (p.415) -- 7. Multilinear Harmonic Analysis (p.479) -- A-The schur Lemma (p.589) -- B-Smoothness and vanishing moments (p.595) . - Glossaire (p. 601-604). - Bibliogr. (p. 605-619). - Index (p.621-624)
Modern Fourier Analysis [3rd edition] [texte imprimé] / Loukas Grafakos, Auteur . - Third edition . - Berlin ; Heidelberg ; Dordrecht ; New York ; London ; Paris ; Wien : Springer Verlag, 2014 . - 1 vol. (XVI-624 p.) : fig., couv. ill. en coul. ; 25 cm. - (Graduate texts in mathematics, ISSN 0072-5285; 250) .
ISBN : 978-1-4939-5078-2
PPN 18287687X
Langues : Anglais (eng)
Tags : Fourier, Analyse de Analyse harmonique (mathématiques) Mathématique -- Manuels d' enseignement supérieur Sobolev, Espaces de Besov, Espaces de Hardy, Espaces de Lipschitz, Espaces Triebel-Lizorkin, Espaces de Littlewood-Paley, Théorie de Fourier analysis Harmonic analysis Functional analysis Mathematics -- Textbooks Sobolev spaces Besov spaces Hardy spaces Lipschitz spaces Triebel-Lizorkin spaces Littlewood-Paley theory Index. décimale : 515.243 3 Analyse de Fourier et analyse harmonique Résumé : This text is addressed to 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. Reviews from the Second Edition: “The books cover a large amount of mathematics. They are certainly a valuable and useful addition to the existing literature and can serve as textbooks or as reference books. Students will especially appreciate the extensive collection of exercises.” —Andreas Seeger, Mathematical Reviews “The exercises at the end of each section supplement the material of the section nicely and provide a good chance to develop additional intuition and deeper comprehension. The historical notes in each chapter are intended to provide an account of past research as well as to suggest directions for further investigation. The volume is mainly addressed to graduate students who wish to study harmonic analysis.” — Leonid Golinskii, zbMATH. Note de contenu : 1. Smoothness and Function Spaces (p.1) - 2. Hardy spaces, Besov spaces, and Tribel-Lizorkin spaces (p.55)- 3. BMO and Carleson Measures (p.153) - 4. Singular Integrals of Nonconvolution Type (p.209) -- 5. Boundedness and Convergence of Fourier Integrals (p.327) -- 6.Time-Frequency Analysis and the Carleson-Hunt Theorem (p.415) -- 7. Multilinear Harmonic Analysis (p.479) -- A-The schur Lemma (p.589) -- B-Smoothness and vanishing moments (p.595) . - Glossaire (p. 601-604). - Bibliogr. (p. 605-619). - Index (p.621-624)
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Code-barres Cote Support Localisation Section Disponibilité Nom du donateur OCA-NI-010947 010947 Ouvrages / Books OCA Bib. Nice Mont-Gros NI-Salle de lecture-Ouvrages Sorti jusqu'au 08/04/2025
