On the C.W.T on homogeneous spaces associated to Quasi invariant measure
- 44 Downloads
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.
KeywordsHomogeneous space Strongly quasi invariant measure Square integrable representation Admissible wavelet Continuous wavelet transform Reproducing kernel Hilbert space
Mathematics Subject ClassificationPrimary 43A15 Secondary 43A85 65T60
- 4.Führ, H.: Abstract harmonic analysis of continuous wavelet transform. In: Springer Lecture Notes in Mathematics, vol. 1863. Berlin (2005)Google Scholar