TY - JOUR
ID - 698482
TI - N-strongly quasi-invariant measure on double coset spaces
JO - Wavelet and Linear Algebra
JA - WALA
LA - en
SN - 2383-1936
AU - Fahimian, Fatemeh
AU - Kamyabi Gol, Rajab Ali
AU - Esmaeelzadeh, Fatemeh
AD - Department of Mathematics, Center of Excellecy in Analysis on Algebric Structures (CEAAS), Ferdowsi University of Mashhad, Mashhad, Iran
AD - Department of Mathematics, Bojnourd Branch, Islamic Azad university, Bojnourd, Iran
Y1 - 2022
PY - 2022
VL - 9
IS - 1
SP - 67
EP - 84
KW - Double coset space
KW - $N$-Strongly quasi invariant measure
KW - rho-function
DO - 10.22072/wala.2022.550186.1370
N2 - 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.
UR - https://wala.vru.ac.ir/article_698482.html
L1 - https://wala.vru.ac.ir/article_698482_eb0b55dc660364225d2ae4732c709657.pdf
ER -