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Galilean wavelets: Coherent states of the affine Galilei group

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Antoine, Jean-Pierre [UCL] Mahara, Isidore [UCL]

We derive Galilean wavelets, by which we mean coherent states of the affine Galilei group, that is, the Galilei group extended by independent space and time dilations. The construction follows a general method based on square integrable group representations, possibly modulo a subgroup, i.e., on a homogeneous space of the underlying group. We also examine the restriction to the Schrodinger subgroup, which contains only dilations that leave invariant the Schrodinger and the heat equations. (C) 1999 American Institute of Physics. [S0022-2488(99)01111-1].

Document type Article de périodique (Journal article) – Article de recherche
Publication date 1999
Language Anglais
Journal information "Journal of Mathematical Physics" - Vol. 40, no. 11, p. 5956-5971 (1999)
Peer reviewed yes
Publisher Amer Inst Physics (Woodbury)
issn 0022-2488
e-issn 1089-7658
Publication status Publié
Affiliation UCL - SC/PHYS - Département de physique
Links
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Bibliographic reference Antoine, Jean-Pierre ; Mahara, Isidore. Galilean wavelets: Coherent states of the affine Galilei group. In: Journal of Mathematical Physics, Vol. 40, no. 11, p. 5956-5971 (1999)
Permanent URL http://hdl.handle.net/2078.1/44085