Title : ( Multiplication on double coset space L1(K n G=H) )
Authors: fatemeh fahimian , Rajab Ali Kamyabi Gol , F. Esmaeelzadeh ,
Full TextAbstract
Consider a locally compact group $G$ with two compact subgroups $H$ and $K$. Equip the double coset space $K\\\\setminus G/H$ with the quotient topology. Suppose that $\\\\mu$ is an $N$-relatively invariant measure, on $K\\\\setminus G/H$. We define a multiplication on $L^1(K\\\\setminus G/H,\\\\mu)$ such that this space becomes a Banach algebra that possesses a left (right) approximate identity.
Keywords
, Double coset space Convolution Integrable function space $N$, relatively invariant measure
@article{paperid:1084742,
author = {Fahimian, Fatemeh and Kamyabi Gol, Rajab Ali and F. Esmaeelzadeh},
title = {Multiplication on double coset space L1(K n G=H)},
journal = {Wavelets and Linear Algebra},
year = {2020},
volume = {7},
number = {1},
month = {April},
issn = {2383-1936},
pages = {37--46},
numpages = {9},
keywords = {Double coset space Convolution Integrable function space $N$-relatively invariant measure},
}
%0 Journal Article
%T Multiplication on double coset space L1(K n G=H)
%A Fahimian, Fatemeh
%A Kamyabi Gol, Rajab Ali
%A F. Esmaeelzadeh
%J Wavelets and Linear Algebra
%@ 2383-1936
%D 2020
