Atomic decomposition via projective group representations

DOI10.1216/rmjm/1181071989zbMath0891.22006OpenAlexW2014334054MaRDI QIDQ1360198

O. Diekmann

Publication date: 17 July 1997

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/VOL26-4/CONT26-4/CONT26-4.html

zbMATH Keywords

unitary representationprojective representationintegrable representationatomic decomposition theoremcoherent Hilbert framesframe decompositionWeil-Heisenberg coherent states

Mathematics Subject Classification ID

Unitary representations of locally compact groups (22D10) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65)

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Cites Work

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• Wilson Bases and Modulation Spaces
• Continuous and Discrete Wavelet Transforms
• A Class of Nonharmonic Fourier Series