MA659
Harmonic Analysis
0.5 Credit

The principles and theory of harmonic analysis, using examples to motivate the concepts are introduced. Topics include: Harmonic analysis on the circle, the real line, and the integers; Haar measure and characters; Calderon-Zygmund theory; the uncertainty principle; Fourier and wavelet transforms; Plancherel theorem; Paley-Weiner theory; interpolation of operators; the Hausdorff-Young theorem; and an introduction to noncommutative harmonic analysis.