MATH 7150

Fourier Analysis

Course Description

Course information provided by the Courses of Study 2022-2023.

An introduction to (mostly Euclidean) harmonic analysis. Topics usually include convergence of Fourier series, harmonic functions and their conjugates, Hilbert transform, Calderon-Zygmund theory, Littlewood-Paley theory, pseudo-differential operators, restriction theory of the Fourier transform, connections to PDE. Applications to number theory and/or probability theory may also be discussed, as well as Fourier analysis on groups.

When Offered Spring.

Prerequisites/Corequisites Prerequisite: some basic measure theory, Lp spaces, and (basic) functional analysis (e.g., MATH 6110). Advanced undergraduates who have taken MATH 4130-MATH 4140, but not MATH 6110, need permission of instructor.

Comments Offered alternate years.

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