Geodesic
Convolution and Involution on Function Spaces of Homogeneous Spaces
Bulletin of the Malaysian Mathematical Society, Tome 36 (2013) no. 4 Cet article a éte moissonné depuis la source Bulletin of the Malaysian Mathematical Society website

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Let $G$ be a locally compact group and also let $H$ be a compact subgroup of $G$. It is shown that, if $\mu$ is a relatively invariant measure on $G/H$ then there is a well-defined convolution on $L^1(G/H,\mu)$ such that the Banach space $L^1(G/H,\mu)$ becomes a Banach algebra. We also find a generalized definition of this convolution for other $L^p$-spaces. Finally, we show that various types of involutions can be considered on $G/H$.
Classification : 43A15, 43A85 
@article{BMMS_2013_36_4_a19,
     author = {Arash Ghaani Farashahi},
     title = {Convolution and {Involution} on {Function} {Spaces} of {Homogeneous} {Spaces}},
     journal = {Bulletin of the Malaysian Mathematical Society},
     year = {2013},
     volume = {36},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/BMMS_2013_36_4_a19/}
}
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AU  - Arash Ghaani Farashahi
TI  - Convolution and Involution on Function Spaces of Homogeneous Spaces
JO  - Bulletin of the Malaysian Mathematical Society
PY  - 2013
VL  - 36
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%0 Journal Article
%A Arash Ghaani Farashahi
%T Convolution and Involution on Function Spaces of Homogeneous Spaces
%J Bulletin of the Malaysian Mathematical Society
%D 2013
%V 36
%N 4
%U http://geodesic.mathdoc.fr/item/BMMS_2013_36_4_a19/
%F BMMS_2013_36_4_a19
Arash Ghaani Farashahi. Convolution and Involution on Function Spaces of Homogeneous Spaces. Bulletin of the Malaysian Mathematical Society, Tome 36 (2013) no. 4. http://geodesic.mathdoc.fr/item/BMMS_2013_36_4_a19/