%0 Journal Article
%T Multiplication and Translation Operators on the Fock Spaces for the q-Modified Bessel Function
%A Fethi Soltani
%J Advances in Pure Mathematics
%P 221-227
%@ 2160-0384
%D 2011
%I Scientific Research Publishing
%R 10.4236/apm.2011.14039
%X We study the multiplication operator <i>M</i>  by  <i>z</i><sup>2</sup> and the  <i>q</i>-Bessel operator  ¦¤<sub><i>q,¦Á</i></sub>on a Hilbert spaces  F<sub><i>q,¦Á</i></sub> of entire functions on the disk D(  o,  ) , 0<<i>q</i><1 ; and we prove that these operators are adjoint-operators and continuous from  F<sub><i>q,¦Á</i></sub> into itself. Next, we study a generalized translation operators on F<sub><i>q,¦Á</i></sub> .
%K Generalized  &lt
%K i&gt
%K q&lt
%K /i&gt
%K -Fock Spaces
%K &lt
%K i&gt
%K q&lt
%K /i&gt
%K -&lt
%K i&gt
%K I&lt
%K /i&gt
%K &lt
%K sub&gt
%K ¦Á&lt
%K /sub&gt
%K Modified Bessel Function
%K &lt
%K i&gt
%K q&lt
%K /i&gt
%K -Bessel Operator
%K Multiplication Operator
%K &lt
%K i&gt
%K q&lt
%K /i&gt
%K -Translation Operators
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=6251