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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.
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.
New edition extensively revised and updated, including 1000 different corrections and improvements in the existing text
Includes a new chapter, "Topics on Fourier series", including sections on Gibbs phenomenon, summability methods and Jackson's theorem, Tauberian theorems, spherical Fourier inversion, and Fourier transforms on the line
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: [...]
Preface.- 1. Lp Spaces and Interpolation.- 2. Maximal Functions, Fourier Transform, and Distributions.- 3. Fourier Series.- 4. Topics on Fourier Series.- 5. Singular Integrals of Convolution Type.- 6. Littlewood-Paley Theory and Multipliers.- 7. Weighted Inequalities.- A. Gamma and Beta Functions.- B. Bessel Functions.- C. Rademacher Functions.- D. Spherical Coordinates.- E. Some Trigonometric Identities and Inequalities.- F. Summation by Parts.- G. Basic Functional Analysis.- H. The Minimax Lemma.- I. Taylor's and Mean Value Theorem in Several Variables.- J. The Whitney Decomposition of Open Sets in Rn.- Glossary.- References.- Index.
| Erscheinungsjahr: | 2016 |
|---|---|
| Fachbereich: | Analysis |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Seiten: | 656 |
| Reihe: | Graduate Texts in Mathematics |
| Inhalt: |
xvii
638 S. 12 s/w Illustr. 2 farbige Illustr. 638 p. 14 illus. 2 illus. in color. |
| ISBN-13: | 9781493939169 |
| ISBN-10: | 1493939165 |
| Sprache: | Englisch |
| Ausstattung / Beilage: | Paperback |
| Einband: | Kartoniert / Broschiert |
| Autor: | Grafakos, Loukas |
| Auflage: | Softcover reprint of the original 3rd ed. 2014 |
| Hersteller: |
Springer US
Springer New York Graduate Texts in Mathematics |
| Maße: | 235 x 155 x 36 mm |
| Von/Mit: | Loukas Grafakos |
| Erscheinungsdatum: | 23.08.2016 |
| Gewicht: | 0,978 kg |
New edition extensively revised and updated, including 1000 different corrections and improvements in the existing text
Includes a new chapter, "Topics on Fourier series", including sections on Gibbs phenomenon, summability methods and Jackson's theorem, Tauberian theorems, spherical Fourier inversion, and Fourier transforms on the line
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: [...]
Preface.- 1. Lp Spaces and Interpolation.- 2. Maximal Functions, Fourier Transform, and Distributions.- 3. Fourier Series.- 4. Topics on Fourier Series.- 5. Singular Integrals of Convolution Type.- 6. Littlewood-Paley Theory and Multipliers.- 7. Weighted Inequalities.- A. Gamma and Beta Functions.- B. Bessel Functions.- C. Rademacher Functions.- D. Spherical Coordinates.- E. Some Trigonometric Identities and Inequalities.- F. Summation by Parts.- G. Basic Functional Analysis.- H. The Minimax Lemma.- I. Taylor's and Mean Value Theorem in Several Variables.- J. The Whitney Decomposition of Open Sets in Rn.- Glossary.- References.- Index.
| Erscheinungsjahr: | 2016 |
|---|---|
| Fachbereich: | Analysis |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Seiten: | 656 |
| Reihe: | Graduate Texts in Mathematics |
| Inhalt: |
xvii
638 S. 12 s/w Illustr. 2 farbige Illustr. 638 p. 14 illus. 2 illus. in color. |
| ISBN-13: | 9781493939169 |
| ISBN-10: | 1493939165 |
| Sprache: | Englisch |
| Ausstattung / Beilage: | Paperback |
| Einband: | Kartoniert / Broschiert |
| Autor: | Grafakos, Loukas |
| Auflage: | Softcover reprint of the original 3rd ed. 2014 |
| Hersteller: |
Springer US
Springer New York Graduate Texts in Mathematics |
| Maße: | 235 x 155 x 36 mm |
| Von/Mit: | Loukas Grafakos |
| Erscheinungsdatum: | 23.08.2016 |
| Gewicht: | 0,978 kg |
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