Classical Fourier analysis / Loukas Grafakos.
Material type:
TextSeries: Graduate texts in mathematics ; 249.Publication details: New York : Springer, 2014.Edition: 3rd edDescription: xvii, 638 p. ; illustrationsISBN: - 9781493911936
- 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 | 135845 |
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| 515.2433 G681 Symplectic methods in harmonic analysis and in mathematical physics / | 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 |
Includes bibliographical references and index.
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.
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.
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