Modern Fourier analysis / Loukas Grafakos.
Material type:
TextSeries: Graduate texts in mathematics ; 250.Publication details: New York : Springer, 2014.Edition: 3rd edDescription: xvi, 624 p. ; illustrationsISBN: - 9781493912292
- 515.2433 23 G736
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 515.2433 G736 (Browse shelf(Opens below)) | Available | 135846 |
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| 515.2433 G736 Classical fourier analysis | 515.2433 G736 Modern fourier analysis | 515.2433 G736 Classical Fourier analysis / | 515.2433 G736 Modern Fourier analysis / | 515.2433 G738 Essays in commutative harmonic analysis | 515.2433 G874 Geometric applications of fourier series and spherical harmonics | 515.2433 G993 Real variable methods in Fourier analysis |
Includes bibliographical references and index.
1. Smoothness and Function Spaces --
2. Hardy spaces, besov spaces, and triebel-lizorkin spaces--
3.. BMO and Carleson Measures --
4. Singular Integrals of Nonconvolution Type --
5. Boundedness and Convergence of Fourier Integrals --
6. Time-Frequency Analysis and the Carleson-Hunt Theorem --
7. Multilinear Harmonic Analysis --
Glossary --
References --
Index.
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.
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