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 to the idea representing signals in terms of standing waves. The Quantum Fourier Transform is a fundamental ingredient in quantum computing algorithms and the module will also give an introduction to key ideas relating to quantum information.
Linked modules
MATH3076 Hilbert Spaces OR MATH2049 Geometry and Topology