Classical and Modern Fourier Analysis

Classical and Modern Fourier Analysis

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  • 製本 Hardcover:ハードカバー版／ページ数 732 p.
  • 言語 ENG
  • 商品コード 9780130353993
  • DDC分類 515.2433

基本説明

詳細で噛み砕いた解説により、フーリエ解析の基本的な概念を着実に身に着ける事が出来る。

Full 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.

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.