Generalized Fock space for the Airy operator

ABO-EL-NOUR, ABD-ALLA and AKRAM, NEMRI and FETHI, SOLTANI (2016) Generalized Fock space for the Airy operator. 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 introduce the Fock space F (C)  associated to the Airy operator , and we establish Heisenberg-type uncertainty principle for this space. Next, we give an application of the theory of extremal function and reproducing kernel of Hilbert space, to establish the extremal function associated to a bounded linear operator T : F (C)H  , where H be a Hilbert space. Finally, we come up with some results regarding the extremal functions, when T is the difference operator and the Dunkl-difference operator, respectively

Item Type: Conference or Workshop Item (Paper)
Uncontrolled Keywords: component, Airy-type Fock space, 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/950

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