• Corpus ID: 119169386

N strongly quasi invariant measure on double coset

  title={N strongly quasi invariant measure on double coset},
  author={Fatemeh Fahimian and Rajab Ali Kamyabi Gol and F. Esmaeelzadeh},
  journal={arXiv: Representation Theory},
Let G be a locally compact group, H and K be two closed sub-groups 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\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. 


Invariant measures on double coset spaces
Let G be a locally compact group with left invariant Haar measure m. Let H be a closed subgroup of G and K a compact subgroup of G. Let R be the equivalence relation in G defined by (a, b) e R if and
In the theory of representations of a finite group by linear transformations the closely related notions of "imprimitivity" and of "induced representation" play a prominent role. In [18] the author
Homogeneous spaces and square-integrable representations
For a locally compact group G and a compact subgroup H of G, the square integrable representations of group G and homogeneous space G/H are described. Also, the connection between existence of
Classical Harmonic Analysis and Locally Compact Groups
1. Classical harmonic analysis and Wiener's theorem 2. Function algebras and the generalization of Wiener's theorem 3. Locally compact groups and the Haar measure 4. Locally compact abelian groups
A course in abstract harmonic analysis
Banach Algebras and Spectral Theory Banach Algebras: Basic Concepts Gelfand Theory Nonunital Banach Algebras The Spectral Theorem Spectral Theory of *-Representations Von Neumann Algebras Notes and
Jordan Structures in Harmonic Functions and Fourier Algebras on Homogeneous Spaces
We study the Jordan structures and geometry of bounded matrix-valued harmonic functions on a homogeneous space and their analogue, the harmonic functionals, in the setting of Fourier algebras of
Kamyabi-Gol, Homogeneous spaces and square-integrable representations, Ann
  • Funct. Anal. 7(2016),
  • 2016
Spaces with an abstract convolution of measures
Positive definite functions and induced representations