TITLE:
Multiplication and Translation Operators on the Fock Spaces for the q-Modified Bessel Function
AUTHORS:
Fethi Soltani
KEYWORDS:
Generalized q-Fock Spaces; q-Iα Modified Bessel Function; q-Bessel Operator; Multiplication Operator; q-Translation Operators
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.1 No.4,
July
22,
2011
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, ) , 0qq,α into itself. Next, we study a generalized translation operators on Fq,α .