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Acta Mathematica Vietnamica

Analytical and Numerical Approximation Formulas on the Dunkl-Type Fock Spaces

icon-email Fethi Soltani , Akram Nemri

Abstract

In this work, we establish some versions of Heisenberg-type uncertainty principles for the Dunkl-type Fock space Fk(Cd). Next, we give an application of the classical theory of reproducing kernels to the Tikhonov regularization problem for operator L:Fk(Cd)H, where H is 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 Bk. Some numerical applications are given.