For a locally compact group G and a compact subgroup H of G,

the square integrable representations of group G and homogeneous space G/H

are described. Also, the connection between existence of admissible ...

Let S be a locally compact abstract shearlet group and σ : S → U-H- be a representation
of S on a separable Hilbert space H.We give a necessary and sufficient condition
for the family of representation coefficients ...

Consider an affine system () AB A with composite dilations a b D ,D , in which , , , (R) n aA bB A B GL and

( ) 2 n L R . It can be made an orthonormal AB -multiwavelet  or a parsval frame AB -wavelet  , by ...

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 ...