A. G. Farashahi

activity

20122025

most citedConvolution and involution on function spaces of homogeneous spaces

15 citations · 18 across the 15 of their papers we have counts for

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Showing 2012Show all

5 papers · 1 filter

math.FA2012

Continuous Gabor transform for semi-direct product of locally compact groups

Arash Ghaani Farashahi

Let $H$ be a locally compact group, $K$ be an LCA group, $τ : H \to A u t (K)$ be a continuous homomorphism and $G_{τ} = H ⋉_{τ} K$ be the semi-direct product of $H$ and $K$ with respect t…

math.FA2012

A new approach to convolution and semi-direct products of groups

Arash Ghaani Farashahi, Rajabali Kamyabi-Gol

Let $H$ and $K$ be locally compact groups and $τ : H \to A u t (K)$ be a continuous homomorphism and also let $G_{τ} = H ⋉_{τ} K$ be the semi-direct product of $H$ and $K$ with respect to…

math.FA2012★ 15 cited

Convolution and involution on function spaces of homogeneous spaces

Arash Ghaani Farashahi

Let $G$ be a locally compact group and also let $H$ be a compact subgroup of $G$ . It is shown that, if $μ$ is a relatively invariant measure on $G / H$ then there is a well-defined c…

math.FA2012

Continuous Gabor transform for a class of non-Abelian groups

Arash Ghaani Farashahi, Rajabali Kamyabi-Gol

In this article we define the continuous Gabor transform for second countable, non-abelian, unimodular and type I groups and also we investigate a Plancherel formula and an inversi…

math.FA2012★ 3 cited

A new approach to the Fourier analysis on semi-direct products of groups

Arash Ghaani Farashahi

Let $H$ and $K$ be locally compact groups and also $τ : H \to A u t (K)$ be a continuous homomorphism and $G_{τ} = H ⋉_{τ} K$ be the semi-direct product of $H$ and $K$ with respect to the…