MA 326: Fourier Analysis

Credits: 3:0

Prerequisite courses: MA 223

Introduction to Fourier Series; Plancherel theorem, basis approximation theorems, Dini’s Condition etc. Introduction to Fourier transform; Plancherel theorem, Wiener-Tauberian theorems, Interpolation of operators, Maximal functions, Lebesgue differentiation theorem, Poisson representation of harmonic functions, introduction to singular integral operators.

Suggested books and references:

  1. Dym, H. and Mckean, H.P., Fourier Series and Integrals, 1972.
  2. Stein, E.M., Singular Integrals and Differentiability Properties of Functions, 1970.
  3. Stein, E.M., and Weiss, G., Introduction to Fourier Analysis on Euclidean Spaces, 1975.
  4. Sadosky, C., Interpolation of Operators and Singular integrals, 1979.

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Contact: +91 (80) 2293 2711, +91 (80) 2293 2265 ;     E-mail: chair.math[at]iisc[dot]ac[dot]in
Last updated: 22 Jun 2024