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

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DOI: 10.4236/apm.2011.14039    3,557 Downloads   7,455 Views   Citations
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ABSTRACT

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

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

F. Soltani, "Multiplication and Translation Operators on the Fock Spaces for the q-Modified Bessel Function," Advances in Pure Mathematics, Vol. 1 No. 4, 2011, pp. 221-227. doi: 10.4236/apm.2011.14039.

References

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