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Lattices of coherent states and square integrability

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Hohouéto, AL [UCL] Kengatharam, T Ali, ST. Antoine, Jean-Pierre [UCL]

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.

Document type Communication à un colloque (Conference Paper) – Présentation orale avec comité de sélection
Publication date 2003
Language Anglais
Conference "24th International Colloquium on Group Theoretical Methods in Physics", Paris(France) (Jul 15-20, 2002)
Journal information "Institute of Physics Conference Series" - Vol. 173, p. 883-886 (2003)
Peer reviewed yes
issn 0951-3248
Publisher Iop Publishing Ltd (Bristol)
Affiliation UCL - SC/PHYS - Département de physique
Links
Bibliographic reference Hohouéto, AL ; Kengatharam, T ; Ali, ST. ; Antoine, Jean-Pierre. Lattices of coherent states and square integrability.24th International Colloquium on Group Theoretical Methods in Physics (Paris(France), Jul 15-20, 2002). In: Institute of Physics Conference Series, Vol. 173, p. 883-886 (2003)
Permanent URL http://hdl.handle.net/2078.1/61405