Prerequisites: MATH 146A, MATH 209C; graduate standing; or consent of instructor
Description: Explores approximation of differentiable functions. Addresses theory of distributions, including basic properties, differentiation, and key operations. Covers applications to multivariable calculus and classical equations of mathematical physics. Examines particular spaces of distributions; convolution and Fourier transform; fractional differentiation; Fourier integral operators; and pseudo differential operators.