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Bulletin of the Iranian Mathematical Society

, Volume 45, Issue 2, pp 515–525 | Cite as

N-Relatively Invariant and N-Invariant Measure on Double Coset Spaces

  • F. Fahimian
  • R. A. Kamyabi GolEmail author
  • F. Esmaeelzadeh
Original Paper
  • 6 Downloads

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 \(K{\backslash }G /H\) 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 \(K {\backslash } G /H\) 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

Doble coset space Rho-function N-invariant measure N-relatively invariant measure 

Mathematics Subject Classification

Primary 47A55 Secondary 39B52 

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Copyright information

© Iranian Mathematical Society 2018

Authors and Affiliations

  • F. Fahimian
    • 1
  • R. A. Kamyabi Gol
    • 1
    Email author
  • F. Esmaeelzadeh
    • 2
  1. 1.Department of Mathematics, Center of Excellency in Analysis on Algebraic Structures (CEAAS)Ferdowsi University of MashhadMashhadIran
  2. 2.Department of Mathematics, Bojnourd BranchIslamic Azad UniversityBojnourdIran

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