MATH 7150

Last Updated

  • Schedule of Classes - September 22, 2025 1:06PM EDT

MATH 7150
Fourier Analysis

Course information provided by the 2025-2026 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 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.

Last 4 Terms Offered 2025SP, 2023SP, 2020FA, 2018FA

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Syllabi: none

  •   Regular Academic Session. 

  • 3 Credits Stdnt Opt

  •  7637 MATH 7150   LEC 001

  •  
    • TR
    • Jan 20 - May 5, 2026

    • Muscalu, C

  • Instruction Mode: In Person