Course Archives Theoretical Statistics and Mathematics Unit

Course: Special Topics: Harmonic Analysis Instructor: Soumyashant Nayak Room: G24 Level: Undergraduate Time: Currently offered

Syllabus Past Exams Syllabus: 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. Reference Texts: Primary Reference: A First Course in Harmonic Analysis by A. Deitmar Secondary Reference: Principles of Harmonic Analysis by A. Deitmar, S. Echterhoff Cultural Reading: Harmonic analysis as the exploitation of symmetry - a historical survey by G. W. Mackey, Bull. Amer. Math. Soc. 3 (1980), 543--698. Evaluation: Mid-term 20 marks Assignment 30 marks Final Exam 50 marks Total 100 marks Top of the page Past Exams

Midterm 24.pdf Semestral Supplementary and Back Paper Top of the page

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