Wavelets and Linear Algebra, Volume (7), No (1), Year (2020-4) , Pages (37-46)
Title : ( Multiplication on double coset space L1(K n G=H) )
Authors: fatemeh fahimian , Rajab Ali Kamyabi Gol , F. Esmaeelzadeh ,File: 
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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.
