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math-ph2003★ 1 cited
A class of vector coherent states defined over matrix domains
T. Kengatharam, S. Twareque Ali
A general scheme is proposed for constructing vector coherent states, in analogy with the well-known canonical coherent states, and their deformed versions, when these latter are e…
math-ph2001
Plancherel Inversion as Unified Approach to Wavelet Transforms and Wigner functions
S. Twareque Ali, Hartmut Fuehr, Anna E. Krasowska
We demonstrate that the Plancherel transform for Type-I groups provides one with a natural, unified perspective for the generalized continuous wavelet transform, on the one hand, a…