Conference Proceedings

Fifth International Conference On Advances in Applied Science and Environmental Engineering - ASEE 2016

Analytical applications on the Dunkl-type Fock space Fk (Cd)

Author(s) : AKRAM NEMRI, FETHI SOLTANI

Abstract

In this work, we establish Heisenberg-type uncertainty principle for the Dunkl-type Fock space ( ) d k F C . Next, we give an application of the classical theory of reproducing kernels to the Tikhonov regularization problem for operator L F C H d k : ( ) , where H be a Hilbert space. Finally, we come up with some results regarding the Tikhonov regularization problem and the Heisenberg-type uncertainty principle for the Dunkl-type Segal-Bargmann transform k B .

Conference Title : Fifth International Conference On Advances in Applied Science and Environmental Engineering - ASEE 2016
Conference Date(s) : 12-13 March,2016
Place : G Tower Hotel, Kuala Lumpur, Malaysia
No fo Author(s) : 2
DOI : 10.15224/978-1-63248-086-6-09
Page(s) : 39 - 42
Electronic ISBN : 978-1-63248-086-6
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