English

The Cholewinski-Fock space in the Slice Hyperholomorphic Setting

Complex Variables 2019-05-01 v1

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].

Keywords

Cite

@article{arxiv.1901.02941,
  title  = {The Cholewinski-Fock space in the Slice Hyperholomorphic Setting},
  author = {Kamal Diki},
  journal= {arXiv preprint arXiv:1901.02941},
  year   = {2019}
}

Comments

To appear in Mathematical Methods in the Applied Sciences

R2 v1 2026-06-23T07:07:32.964Z