ON CONSTRUCTION OF COHERENT STATES ASSOCIATED WITH SEMIDIRECT PRODUCTS

DOI10.1142/S021969130800263XzbMath1151.81342OpenAlexW2070488377MaRDI QIDQ3542852

Ali Akbar Arefijamaal, Rajab Ali Kamyabi-Gol

Publication date: 1 December 2008

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021969130800263x

zbMATH Keywords

coherent stateslocally compact abelian groupsquare integrable representationsemidirect product Fourier transform

Mathematics Subject Classification ID

Coherent states (81R30) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65)

Related Items (4)

ABSTRACT HARMONIC ANALYSIS OF RELATIVE CONVOLUTIONS OVER CANONICAL HOMOGENEOUS SPACES OF SEMIDIRECT PRODUCT GROUPS ⋮ On the square integrability of quasi regular representation on semidirect product groups ⋮ A constructive approach to the finite wavelet frames over prime fields ⋮ Unnamed Item

Cites Work

• Unnamed Item
• A characterization of the higher dimensional groups associated with continuous wavelets.
• Coherent states for arbitrary Lie group
• Induced representation of locally compact groups. I
• Painless nonorthogonal expansions
• WAVELET TRANSFORMS ASSOCIATED TO GROUP REPRESENTATIONS AND FUNCTIONS INVARIANT UNDER SYMMETRY GROUPS

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