N-strongly quasi-invariant measure on double coset spaces

Author(s):

Fatemeh Fahimian , Rajab Ali Kamyabi Gol * , Fatemeh Esmaeelzadeh

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
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.
Keywords:

Double coset space , $N$-Strongly quasi invariant measure , rho-function

Language:
English
Published:
Wavelets and Linear Algebra, Volume:9 Issue: 1, Spring and Summer 2022
Pages:
67 to 84
https://www.magiran.com/p2541880