Classical Fourier analysis
The primary goal of these two volumes is to present the theoretical foundation of the field of Euclidean Harmonic analysis. The original edition was published as a single volume, but due to its size, scope, and the addition of new material, the second edition consists of two volumes. The present edi...
Zapisane w:
| 1. autor: | |
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| Format: | Livre numérique |
| Język: | Anglais |
| Wydane: |
New York, NY :
Springer New York
2008.
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| Wydanie: | 2nd ed. 2008. |
| Seria: | Graduate Texts in Mathematics
249 |
| Hasła przedmiotowe: | |
| Dostęp online: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Komentarz: |
L'impression du document génère 493 p. Description d'après consultation du 06 juin2011 Titre provenant de l'écran-titre Numerisation de l'édition de : [s.l.] : Springer science + Business Media. 2008 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Classical Fourier analysis, Loukas Grafakos, 2nd edition, 2008, New York (N. Y.), Springer, 1 volume (XVI-489 pages), Graduate texts in mathematics, 978-0-387-09431-1 • Combinatorial pattern matching, third annual symposium, Tucson, Arizona, USA, April 29-May 1, 1992, proceedings, A. Apostolico, Maxime Crochemore, Zvi Galil ... [et al.], 1992, Berlin, Springer, 1 vol. (X-287 p.), Lecture notes in computer science, 3-540-56024-6 • Classical Fourier Analysis, Texte imprimé, 9781441918550 • Classical Fourier analysis, Loukas Grafakos, 2nd edition, 2008, New York (N. Y.), Springer, 1 volume (XVI-489 pages), Graduate texts in mathematics, 978-0-387-09431-1 |
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| 245 | 1 | 0 | |a Classical Fourier analysis |c Loukas Grafakos. |
| 250 | |a 2nd ed. 2008. | ||
| 256 | |a Données textuelles | ||
| 260 | |a New York, NY : |b Springer New York, |c 2008. | ||
| 490 | 0 | |a Graduate Texts in Mathematics |v 249 |x 2197-5612 | |
| 500 | |a L'impression du document génère 493 p. | ||
| 500 | |a Description d'après consultation du 06 juin2011 | ||
| 500 | |a Titre provenant de l'écran-titre | ||
| 500 | |a Numerisation de l'édition de : [s.l.] : Springer science + Business Media. 2008 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a Preface Lp Spaces and Interpolation Maximal Functions, Fourier Transform, and Distributions Fourier Analysis on the Torus Singular Integrals of Convolution Type Littlewood-Paley Theory and Multipliers Gamma and Beta Functions Bessel Functions Rademacher Functions Spherical Coordinates Some Trigonometric Identities and Inequalities Summation by Parts Basic Functional Analysis The Minimax Lemma The Schur Lemma The Whitney Decomposition of Open Sets in Rn Smoothness and Vanishing Moments Glossary References Index | |
| 520 | |a The primary goal of these two volumes is to present the theoretical foundation of the field of Euclidean Harmonic analysis. The original edition was published as a single volume, but due to its size, scope, and the addition of new material, the second edition consists of two volumes. The present edition contains a new chapter on time-frequency analysis and the Carleson-Hunt theorem. The first volume contains the classical topics such as Interpolation, Fourier Series, the Fourier Transform, Maximal Functions, Singular Integrals, and Littlewood-Paley Theory. The second volume contains more recent topics such as Function Spaces, Atomic Decompositions, Singular Integrals of Nonconvolution Type, and Weighted Inequalities. These volumes are mainly addressed to graduate students in mathematics and are designed for a two-course sequence on the subject with additional material included for reference. The prerequisites for the first volume are satisfactory completion of courses in real and complex variables. The second volume assumes material from the first. This book is intended to present the selected topics in depth and stimulate further study. Although the emphasis falls on real variable methods in Euclidean spaces, a chapter is devoted to the fundamentals of analysis on the torus. This material is included for historical reasons, as the genesis of Fourier analysis can be found in trigonometric expansions of periodic functions in several variables. About the first edition: "Grafakos's book is very user-friendly with numerous examples illustrating the definitions and ideas... The treatment is thoroughly modern with free use of operators and functional analysis. Morever, unlike many authors, Grafakos has clearly spent a great deal of time preparing the exercises." - Kenneth Ross, MAA Online | ||
| 538 | |a Nécessite un lecteur de fichier PDF | ||
| 650 | |a Fourier, Analyse de | ||
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| 776 | 0 | |0 015206912 |t Combinatorial pattern matching |o third annual symposium, Tucson, Arizona, USA, April 29-May 1, 1992 |o proceedings |f A. Apostolico, Maxime Crochemore, Zvi Galil ... [et al.] |d 1992 |c Berlin |n Springer |p 1 vol. (X-287 p.) |s Lecture notes in computer science |z 3-540-56024-6 | |
| 776 | 0 | |t Classical Fourier Analysis |b Texte imprimé |z 9781441918550 | |
| 776 | 0 | |0 129481319 |t Classical Fourier analysis |f Loukas Grafakos |e 2nd edition |d 2008 |c New York (N. Y.) |n Springer |p 1 volume (XVI-489 pages) |s Graduate texts in mathematics |z 978-0-387-09431-1 | |
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