Abstract Plancherel (Trace) Formulas over Homogeneous Spaces of Compact Groups

作者：Farashahi Arash Ghaani^*

来源：Canadian Mathematical Bulletin, 2017, 60(1): 111-121.

DOI：10.4153/CMB-2016-037-6

• compact group
• homogeneous space
• dual space
• Plancherel (trace) formula

This paper introduces a unified operator theory approach to the abstract Plancherel (trace) formulas over homogeneous spaces of compact groups. Let G be a compact group and let H be a closed subgroup of G. Let G/H be the left coset space of H in G and let mu be the normalized G-invariant measure on G/H associated with Weirs formula. Then we present a generalized abstract notion of Plancherel (trace) formula for the Hilbert space L-2 (G/ H, mu).

• 出版日期2017-3