Turkish Journal of Mathematics
Abstract
In this article, assume that G=H\times_{\tau} K is the semidirect product of two locally compact groups H and K, respectively and consider the quasi regular representation on G. Then for some closed subgroups of G we investigate an admissible condition to generate the Gilmore-Perelomov coherent states. The construction yields a wide variety of coherent states, labelled by a homogeneous space of G.
DOI
10.3906/mat-0809-22
Keywords
Locally compact abelian group, Semidirect product, Fourier transform, Square integrable representation, Coherent states
First Page
515
Last Page
522
Recommended Citation
AREFIJAMAAL, A. A (2010). On construction of coherent states associated with homogeneous spaces. Turkish Journal of Mathematics 34 (4): 515-522. https://doi.org/10.3906/mat-0809-22
