Classical and modern Fourier analysis
Author(s)
Bibliographic Information
Classical and modern Fourier analysis
Pearson/Prentice-Hall, c2004
Available at / 13 libraries
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
DC22;515.2433/G7572080002116
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Note
Includes bibliographical references (p. 39-61) and index
Description and Table of Contents
Description
For graduate-level courses in Fourier or Harmonic Analysis.
Designed specifically for students (rather than researchers), this introduction to Fourier Analysis starts where the real and complex first-year graduate classes end. Students gain a solid foundation in basic concepts through detailed, user-friendly explanations, acquire deeper understanding by working through a variety of examples and exercises, and broaden their applied perspective by reading about recent developments and advances in the subject.
Table of Contents
Prolegomena.
1. L p Spaces and Interpolation.
2. Maximal Functions, Fourier Transform, and Distributions.
3. Fourier Analysis on the Torus.
4. Singular Integrals of Convolution Type.
5. Littlewood-Paley Theory and Multipliers.
6. Smoothness and Function Spaces.
7. BMO and Carleson Measures.
8. Singular Integrals of Nonconvolution Type.
9. Weighted Inequalities.
10. Boundedness and Convergence of Fourier Integrals.
Bibliography.
Index of Notation.
Index.
by "Nielsen BookData"