Harmonic Analysis (3)

Course Level: Graduate

Harmonic analysis on the circle, the real line, and on groups. The main concepts are: periodic functions, Fourier series, Fourier transform and spherical harmonics. The course includes a brief account of the necessary ingredients from the theory of the Lebesgue integral. Usually offered alternate springs. Prerequisite: MATH-310, MATH-313, and MATH-503, or permission of instructor.