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Harmonic Analysis

When you'll study it
Semester 2
CATS points
15
ECTS points
7.5
Level
Level 7
Module lead
Nicholas Wright
Academic year
2025-26

Module overview

Harmonic analysis extends key ideas of Fourier analysis from Euclidean spaces to general topological groups. A fundamental goal is understanding algebras of functions on a group in terms of elementary functions. These correspond t the idea representing signals in terms of standing waves. Harmonic analysis is now a key part of modern mathematics with important applications in physics and engineering.

Linked modules

MATH3076 Hilbert Spaces OR MATH2049 Geometry and Topology