Let G/H be a homogenous space where G be a locally

compact group and H be a compact subgroup of G. In this note we

define a square integrable representation of homogenous space G/H

on Hilbert space H. ...

Let G be a locally compact group with a compact subgroup H. We define a square integrable

representation of a homogeneous space G/H on a Hilbert space H. The reconstruction

formula for G/H is established and ...