Abstract
In this work, we establish some versions of Heisenberg-type uncertainty principles for the Dunkl-type Fock space F-k(C-d). Next, we give an application of the classical theory of reproducing kernels to the Tikhonov regularization problem for operator L : F-k(C-d) -> H, where H is a Hilbert space. Finally, we come up with some results regarding the Tikhonov regularization problem and the Heisenberg-type uncertainty principle for the Dunkl-type Segal-Bargmann transform B-k. Some numerical applications are given.