Multiplication and Translation Operators on the Fock Spaces for the q-Modified Bessel Function

Fethi Soltani

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DOI: 10.4236/apm.2011.14039                

Abstract

We study the multiplication operator M by z² and the q-Bessel operator Δ_q,αon a Hilbert spaces F_q,α of entire functions on the disk D( o, ) , 0<q<1 ; and we prove that these operators are adjoint-operators and continuous from F_q,α into itself. Next, we study a generalized translation operators on F_q,α .

Keywords

Generalized q-Fock Spaces; q-I_α Modified Bessel Function; q-Bessel Operator; Multiplication Operator; q-Translation Operators

Conflicts of Interest

The authors declare no conflicts of interest.

References

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