everything.study
PMATH 833

Harmonic Analysis

Graduate

Winter 2022

Topics

  • Locally compact groups, Haar measure.
  • Convolution of measures, the L1 group algebra.
  • Unitary representations, positive functions.
  • Abelian harmonic analysis, Pontryagin duality.
  • Compact harmonic analysis, Peter-Weyl Theorem.
  • Induced representations and symmetric imprimitivity.
  • Amenable groups.

Readings

  • The course will be self-contained and no text is required. I will use the following books for reference:
    unspecified
Sources