Modern 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...
محفوظ في:
| المؤلف الرئيسي: | |
|---|---|
| التنسيق: | Livre numérique |
| اللغة: | Anglais |
| منشور في: |
New York, NY :
Springer New York
2009.
|
| الطبعة: | 2nd ed. 2009. |
| سلاسل: | Graduate Texts in Mathematics
250 |
| الموضوعات: | |
| الوصول للمادة أونلاين: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| ملاحظة: |
L'impression du document génère 520 p. Description d'après consultation du 06/06/2011 Titre provenant de l'écran-titre Numerisation de l'édition de : [s.l.] : Springer science + Business Media. 2009 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Modern Fourier analysis, Loukas Grafakos, Second edition, 2009, New York (N. Y.), Springer, 1 volume (XV-504 pages), Graduate texts in mathematics, 978-0-387-09433-5 • Modern Fourier Analysis, Texte imprimé, 9780387560250 • Modern Fourier analysis, Loukas Grafakos, Second edition, 2009, New York (N. Y.), Springer, 1 volume (XV-504 pages), Graduate texts in mathematics, 978-0-387-09433-5 • Modern Fourier Analysis, Texte imprimé, 9780387094335 • Modern Fourier Analysis, Texte imprimé, 9781493991143 |
| LEADER | 04394nam a22004457a 4500 | ||
|---|---|---|---|
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| 008 | 090610s2009 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN134127307 | ||
| 020 | |a 9780387094342 | ||
| 041 | 0 | |a eng | |
| 082 | |a 515 | ||
| 084 | |a 42-XX. 2010 | ||
| 084 | |a 42Axx. 2010 | ||
| 100 | 1 | |a Grafakos, Loukas, |d 1962- | |
| 245 | 1 | 0 | |a Modern fourier analysis |c by Loukas Grafakos. |
| 250 | |a 2nd ed. 2009. | ||
| 256 | |a Données textuelles | ||
| 260 | |a New York, NY : |b Springer New York, |c 2009. | ||
| 490 | 0 | |a Graduate Texts in Mathematics |v 250 |x 2197-5612 | |
| 500 | |a L'impression du document génère 520 p. | ||
| 500 | |a Description d'après consultation du 06/06/2011 | ||
| 500 | |a Titre provenant de l'écran-titre | ||
| 500 | |a Numerisation de l'édition de : [s.l.] : Springer science + Business Media. 2009 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a Smoothness and Function Spaces and Carleson Measures Singular Integrals of Nonconvolution Type Weighted Inequalities Boundedness and Convergence of Fourier Integrals Time Frequency Analysis and the Carleson#x2013;Hunt Theorem | |
| 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 | ||
| 776 | 0 | |0 130457469 |t Modern Fourier analysis |f Loukas Grafakos |e Second edition |d 2009 |c New York (N. Y.) |n Springer |p 1 volume (XV-504 pages) |s Graduate texts in mathematics |z 978-0-387-09433-5 | |
| 776 | 0 | |t Modern Fourier Analysis |b Texte imprimé |z 9780387560250 | |
| 776 | 0 | |0 130457469 |t Modern Fourier analysis |f Loukas Grafakos |e Second edition |d 2009 |c New York (N. Y.) |n Springer |p 1 volume (XV-504 pages) |s Graduate texts in mathematics |z 978-0-387-09433-5 | |
| 776 | 0 | |t Modern Fourier Analysis |b Texte imprimé |z 9780387094335 | |
| 776 | 0 | |t Modern Fourier Analysis |b Texte imprimé |z 9781493991143 | |
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