Peter-Weyl Theorem for Homogeneous Spaces of Compact Groups

Ghaani Farashahi, Arash

Research Article

Peter-Weyl Theorem for Homogeneous Spaces of Compact Groups

Arash Ghaani Farashahi¹

University of Vienaa

Abstract

This paper presents a structured formalism for a constructive generalization of the Peter-Weyl Theorem over homogeneous spaces of compact groups. Let H be a closed subgroup of a compact group G and µ be the normalized G-invariant measure on the compact left coset space G/H. We then present an abstract T H -version of the Peter-Weyl Theorem for the Hilbert function space L2 (G/H, µ).

How to Cite

A. Ghaani Farashahi, Peter-Weyl Theorem for Homogeneous Spaces of Compact Groups, Int. J. Anal. Appl. 13 (2017), 22–31.

BibTeX

@article{Farashahi2017,
  author  = {Ghaani Farashahi, Arash},
  title   = {Peter-Weyl Theorem for Homogeneous Spaces of Compact Groups},
  journal = {Int. J. Anal. Appl.},
  volume  = {13},
  year    = {2017},
  pages   = {22--31},
  doi     = {}
}

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