Fock Spaces for the q-Dunkl Kernel
Fock Spaces for the q-Dunkl Kernel
In this work, we introduce a class of Hilbert spaces of entire functions on the disk , 0＜q＜1 , with reproducing kernel given by the q-Dunkl kernel . The definition and properties of the space extend naturally those of the well-known classical Fock space. Next, we study the multiplication operator …