%0 Journal Article
%T N-strongly quasi-invariant measure on double coset spaces
%J Wavelet and Linear Algebra
%I Vali-e-Asr university of Rafsanjan
%Z 2383-1936
%A Fahimian, Fatemeh
%A Kamyabi Gol, Rajab Ali
%A Esmaeelzadeh, Fatemeh
%D 2022
%\ 11/01/2022
%V 9
%N 1
%P 67-84
%! N-strongly quasi-invariant measure on double coset spaces
%K Double coset space
%K $N$-Strongly quasi invariant measure
%K rho-function
%R 10.22072/wala.2022.550186.1370
%X Let $G$ be a locally compact group, $H$ and $K$ be two closed subgroups of $G$, and $N$ be the normalizer group of $K$ in $G$. In this paper, the existence and properties of a rho-function for the triple $(K, G, H)$ and an $N$-strongly quasi-invariant measure of double coset space $K \backslash G /H$ is investigated. In particular, it is shown that any such measure arises from a rho-function. Furthermore, the conditions under which an $N$-strongly quasi-invariant measure arises from a rho-function are studied.
%U https://wala.vru.ac.ir/article_698482_eb0b55dc660364225d2ae4732c709657.pdf