Course Archives Theoretical Statistics and Mathematics Unit

Course: Special Topics: Harmonic Analysis Level: Undergraduate Time: Currently not 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. Top of the page Past Exams

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

[ Semester Schedule ][ Statmath Unit ] [Indian Statistical Institute]