MATH 545

Fall 2025 Part of Term 1

Part of Term 1
Aug 25-Dec 10

Harmonic Analysis

SHOW FINAL EXAM SCHEDULE

Credit: 4 hours.

Harmonic analysis on the circle, the line, and the integers, i.e., Fourier series and transforms; locally compact Abelian groups; convergence and summability; conjugate functions; Hardy spaces; uniqueness; Tauberian theorems; almost-periodic functions; commutative Banach algebras.

Prerequisite: MATH 448 and MATH 541; knowledge of Banach spaces.

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MATH 545 class schedule data for fall 2025
	CRN	Type	Section	Time	Day	Location	Instructor	Section Details
	51379	Lecture-Discussion	D1	12:00PM -12:50PM	MWF	312 Davenport Hall	Li, X	Part of Term: 1 Date Range: 08/25/25-12/10/25 Section Info: Undergraduates seeking approval to enroll should obtain permission from the Math Undergrad Director by filling out the webform located at https://forms.illinois.edu/sec/1209343045. Students from the following programs must contact the Director of Graduate Studies in Mathematics <math-grad@illinois.edu> to request permission to register for the course: MS:Economics:Policy Econ -UIUC or MS: Financial Engineering. Restricted to Graduate - Urbana-Champaign. Not intended for MS:Economics:Policy Econ -UIUC, MS:Economics:Policy Econ -UIUC, MS: Financial Engineering, MENG:Mechanical Enginerng-UIUC, MENG:Elec & Computer Eng-UIUC, or MENG:Engineering:Comp Eng-UIUC Restriction(s): Restricted to Graduate - Urbana-Champaign. Not intended for MS:Economics:Policy Econ -UIUC, MS:Economics:Policy Econ -UIUC, MS: Financial Engineering, MENG:Mechanical Enginerng-UIUC, MENG:Elec & Computer Eng-UIUC, or MENG:Engineering:Comp Eng-UIUC.