University of Connecticut

Course Info

MATH 5140: Fourier Analysis

Description: Basic properties of Fourier series, convergence of Fourier series, applications of Fourier series. Fourier transform and distributions. Fourier transform in Lp-spaces. Hardy-Littlewood maximal inequality. Marcinkiewicz and Riesz-Thorin interpolation theorem. Hilbert and Riesz transforms, singular integrals, Calderon-Zygmund operators. Other topics in harmonic and Fourier analysis at the choice of the instructor (e.g. Littlewood-Paley theory, Marcinkiewicz multiplier theorem, fast Fourier transform, wavelets).

Prerequisites: MATH 5111.

Credits: 3

MATH 5140 - Section 1: Fourier Analysis

Description: N/A

Prerequisites: N/A

Offered: Fall

Credits: 0

Sections: Fall 2014 on Storrs Campus

PSCourseID Course Sec Comp Time Room Instructor
15026 5140 001 Lecture TuTh 9:30 AM-10:45 AM MSB215 Rogers, Luke