Kamyabi Gol, R., Esmaeelzadeh, F., Raisi Tousi, R. (2014). Two-wavelet constants for square integrable representations of G/H. Wavelet and Linear Algebra, 1(1), 63-73.

R. A. Kamyabi Gol; F. Esmaeelzadeh; R. Raisi Tousi. "Two-wavelet constants for square integrable representations of G/H". Wavelet and Linear Algebra, 1, 1, 2014, 63-73.

Kamyabi Gol, R., Esmaeelzadeh, F., Raisi Tousi, R. (2014). 'Two-wavelet constants for square integrable representations of G/H', Wavelet and Linear Algebra, 1(1), pp. 63-73.

Kamyabi Gol, R., Esmaeelzadeh, F., Raisi Tousi, R. Two-wavelet constants for square integrable representations of G/H. Wavelet and Linear Algebra, 2014; 1(1): 63-73.

Two-wavelet constants for square integrable representations of G/H

^{1}Department of Mathematics, Center of Excellency in Analysis on Algebraic Structures(CEAAS), Ferdowsi University Of Mashhad, Mashhad, Islamic Republic of Iran.

^{2}Department of Mathematics, Bojnourd Branch, Islamic Azad University, Bojnourd, Islamic Republic of Iran.

^{3}Department of Mathematics, Ferdowsi University Of Mashhad, Mashhad, Islamic Republic of Iran.

Abstract

In this paper we introduce two-wavelet constants for square integrable representations of homogeneous spaces. We establish the orthogonality relations for square integrable representations of homogeneous spaces which give rise to the existence of a unique self adjoint positive operator on the set of admissible wavelets. Finally, we show that this operator is a constant multiple of identity operator when G is a semidirect product group of a unimodular subgroup K and a closed subgroup H.

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