TY - JOUR
ID - 6352
TI - Two-wavelet constants for square integrable representations of G/H
JO - Wavelet and Linear Algebra
JA - WALA
LA - en
SN - 2383-1936
AU - Kamyabi Gol, R. A.
AU - Esmaeelzadeh, F.
AU - Raisi Tousi, R.
AD - Department of Mathematics, Center of Excellency in Analysis on Algebraic
Structures(CEAAS), Ferdowsi University Of Mashhad, Mashhad, Islamic Republic of Iran.
AD - Department of Mathematics, Bojnourd Branch, Islamic Azad University, Bojnourd, Islamic
Republic of Iran.
AD - Department of Mathematics, Ferdowsi University Of Mashhad, Mashhad, Islamic Republic
of Iran.
Y1 - 2014
PY - 2014
VL - 1
IS - 1
SP - 63
EP - 73
KW - Homogenous space
Irreducible representation
DO -
N2 - 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.
UR - http://wala.vru.ac.ir/article_6352.html
L1 - http://wala.vru.ac.ir/article_6352_1a0047fe61bbe9c10151dbc7795a6868.pdf
ER -