Title : ( N-Relatively Invariant and N-Invariant Measure on Double Coset Spaces )
Authors: fatemeh fahimian , Rajab Ali Kamyabi Gol , Fatemeh Esmaeil Zadeh ,Abstract
For a locally compact group G and two closed subgroups H, K of G let N be the normalizer group of K in G and K\\\\G/H be the double coset spaces of G by H and K, respectively. The N-relatively invariant and N-invariant measures are defined for the double coset space K\\\\G/H and a necessary and sufficient condition for the existence of N-relatively invariant measure is given. Among other things, conditions under which there is an N-invariant measure are investigated.
Keywords
, Double coset space · Rho, function · N, invariant measure · N, relatively invariant measure@article{paperid:1074625,
author = {Fahimian, Fatemeh and Kamyabi Gol, Rajab Ali and Fatemeh Esmaeil Zadeh},
title = {N-Relatively Invariant and N-Invariant Measure on Double Coset Spaces},
journal = {Bulletin of the Iranian Mathematical Society},
year = {2019},
volume = {45},
number = {2},
month = {April},
issn = {1735-8515},
pages = {515--525},
numpages = {10},
keywords = {Double coset space · Rho-function · N-invariant measure · N-relatively
invariant measure},
}
%0 Journal Article
%T N-Relatively Invariant and N-Invariant Measure on Double Coset Spaces
%A Fahimian, Fatemeh
%A Kamyabi Gol, Rajab Ali
%A Fatemeh Esmaeil Zadeh
%J Bulletin of the Iranian Mathematical Society
%@ 1735-8515
%D 2019