MATH 7150

Last Updated

  • Schedule of Classes - June 8, 2025 7:22PM EDT
  • Course Catalog - June 8, 2025 7:07PM EDT

MATH 7150
Fourier Analysis

Course information provided by the 2024-2025 Catalog.

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.


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.

When Offered Spring.

Comments Offered alternate years.

View Enrollment Information

Syllabi: none

  •   Regular Academic Session. 

  • 3 Credits Stdnt Opt

  • 17744 MATH 7150   LEC 001

  •  
    • TR
    • Jan 21 - May 6, 2025

    • Muscalu, C

  • Instruction Mode: In Person