Lattices of coherent states and square integrability

Hohouéto, AL;Kengatharam, T;Ali, ST.;Antoine, Jean-Pierre
(2003) 24th International Colloquium on Group Theoretical Methods in Physics — Location: Paris(France) (15.July.2002)

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  • Hohouéto, ALUCLouvain
    Author
  • Kengatharam, T
    Author
  • Ali, ST.
    Author
  • Antoine, Jean-Pierreorcid-logoUCLouvain
    Author
Abstract
We develop a method of discretization of the continuous theory of coherent states on a general semidirect product Lie group. The group is assumed to have a unitary representation which is square integrable on some homogeneous space. We show also that the existence of a discrete frame of coherent states in the carrier space of a unitary representation of such a group implies the square integrability of this representation on the label space.
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Hohouéto, A., Kengatharam, T., Ali, ST., & Antoine, J.-P. (2003). Lattices of coherent states and square integrability. Institute of Physics Conference Series (Online), 173, 883-886. https://hdl.handle.net/2078.5/24686 (Original work published 2003)