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