Introduction to Harmonic Analysis

3 credits · Undergraduate

This course covers the basic elements of Lp-spaces, convolution, interpolation, maximal functions, Fourier analysis of functions, and the theory of generalized functions, or distributions. Further topics may include L² -Sobolev spaces, boundary values of harmonic functions, spherical harmonics, singular integral operators, or multipliers. PREREQUISITES: MATH 4010.03/MATH 5010.03, or MATH 3502.03 with permission of instructor EXCLUSIONS: MATH 5500.03 FORMATS: Lecture