Thursday, January 17, 2013

1301.3783 (Davide Barbieri et al.)

Coherent states of the Euclidean Motion group and CR regularity    [PDF]

Davide Barbieri, Giovanna Citti
We show how the coherent states transform associated to the irreducible representations of the Euclidean Motion group can give rise to a reproducing kernel Hilbert space, even if such representations are not square integrable. Once this result is established, we can characterize such Hilbert space for the case of a minimal uncertainty mother wavelet in terms of a complex regularity related to the natural almost complex structure of the group, in strict analogy with the Bargmann transform.
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