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On the C.W.T on homogeneous spaces associated to Quasi invariant measure

  • Fatemeh Esmaeelzadeh
  • Rajab Ali Kamyabi Gol
Article
  • 26 Downloads

Abstract

Let G be a locally compact group and H be a closed subgroup of G. Consider the homogeneous space G / H equipped with a strongly quasi invariant measure. We introduce a square integrable representation of G / H and indicate the resolution of identity and among other things, we find the reproducing kernel Hilbert space.

Keywords

Homogeneous space Strongly quasi invariant measure Square integrable representation Admissible wavelet Continuous wavelet transform Reproducing kernel Hilbert space 

Mathematics Subject Classification

Primary 43A15 Secondary 43A85 65T60 

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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Mathematics, Bojnourd BranchIslamic Azad UniversityBojnourdIran
  2. 2.Department of Pure MathematicsFerdowsi University of Mashhad, and Center of Excellence in Analysis on Algebraic Structures (CEAAS)MashhadIran

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