bookJun 1, 2003Closed access

Classical and modern Fourier analysis

LGLoukas Grafakos

Abstract

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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Topics & keywords

Topics
Keywords
  • Mathematics
  • Smoothness
  • Fourier transform
  • Singular integral
  • Convolution (computer science)
  • Fourier inversion theorem
  • Fourier analysis
  • Mathematical analysis
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