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

AKRAM, NEMRI and FETHI, SOLTANI (2016) Analytical applications on the Dunkl-type Fock space Fk (Cd). In: Fifth International Conference On Advances in Applied Science and Environmental Engineering - ASEE 2016, 12-13 March,2016, Kuala Lumpur, Malaysia.

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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 .

Item Type: Conference or Workshop Item (Paper)
Uncontrolled Keywords: component, Dunkl-type Fock spaces, extremal functions, Tikhonov regularization, Heisenberg-type uncertainty principle.
Depositing User: Mr. John Steve
Date Deposited: 25 Mar 2019 12:15
Last Modified: 25 Mar 2019 12:15
URI: http://publications.theired.org/id/eprint/954

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