Prerequisites: MATH 146C, MATH 165B, MATH 209C; or consent of instructor
Description: A study of Fourier series. Includes summability methods, kernels, Fourier transform, unitarity, applications to the uncer- tainty principle, and distributional Fourier transform. Introduces Hardy spaces, singular integral operators, and wavelet theory and its applications. Other topics include interpolation of linear operators and spectral analysis and applications.