Classical and modern Fourier analysis
著者
書誌事項
Classical and modern Fourier analysis
Pearson/Prentice-Hall, c2004
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注記
Includes bibliographical references (p. 39-61) and index
内容説明・目次
内容説明
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.
目次
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.
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