A Course in Harmonic Analysis (BMAT3)
Main Topics:
Review of Fourier series and Hilbert spaces, The Fourier Transform and the Poisson Summation Formula, Finite Abelian Groups, Metrizable LCA Groups, The Dual Group, The Plancherel Theorem, The Heisenberg Group.
Additional Topics:
Haar Integration, Banach Algebras, Representation theory of compact topological groups: Peter-Weyl theorem.
Room: G24
Timing: Fridays (12:00 pm - 01:00 pm and 02:00 pm - 03:00 pm) and Saturdays (10:00 am - 01:00 pm)
Textbooks and References
- A. Deitmar, A First Course in Harmonic Analysis.
- A. Deitmar, S. Echterhoff, Principles of Harmonic Analysis.
- G. W. Mackey, Harmonic analysis as the exploitation of symmetry - a historical survey, Bull. Amer. Math. Soc. 3 (1980), 543--698.
Worksheets & Exams
Last Updated: May 07, 2024