@article { author = {Fahimian, F. and Kamyabi-Gol, R. A. and Esmaeelzadeh, F.}, title = {Multiplication on double coset space $L^1(K\setminus G/H)$}, journal = {Wavelet and Linear Algebra}, volume = {7}, number = {1}, pages = {37-46}, year = {2020}, publisher = {Vali-e-Asr university of Rafsanjan}, issn = {2383-1936}, eissn = {2476-3926}, doi = {10.22072/wala.2020.119154.1262}, abstract = {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}, title_fa = {Multiplication on double coset space $L^1(K\setminus G/H)$}, abstract_fa = {}, keywords_fa = {}, url = {https://wala.vru.ac.ir/article_46686.html}, eprint = {https://wala.vru.ac.ir/article_46686_9f07065f47167dcc4da0c9c61eb55d1b.pdf} }