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Original Articles

Inversion formulas for the Dunkl-type Segal–Bargmann transform

Pages 325-339 | Received 14 Sep 2014, Accepted 02 Jan 2015, Published online: 30 Jan 2015
 

Abstract

We give the inverse of the Dunkl-type Segal–Bargmann transform Bα as a limit of certain integral operators. An application to Tikhonov regularization on the Dunkl-type Fock spaces Fα(C) is given using the theory of reproducing kernel Hilbert spaces.

2010 Mathematics Subject Classification::

Acknowledgments

Author partially supported by the DGRST research project LR11ES11 and CMCU program 10G/1503

Disclosure statement

No potential conflict of interest was reported by the author.

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