The Cholewinski-Fock space in the Slice Hyperholomorphic Setting (1901.02941v1)

Abstract: Inspired from the Cholewinski approach see [5], we investigate a family of Fock spaces in the quaternionic slice hyperholomorphic setting as well as some associated quaternionic linear operators. In a particular case, we reobtain the slice hyperholomorphic Fock space introduced and studied in [2].