English

Realizations of slice hyperholomorphic generalized contractive and positive functions

Complex Variables 2014-11-10 v2 Functional Analysis

Abstract

We introduce generalized Schur functions and generalized positive functions in setting of slice hyperholomorphic functions and study their realizations in terms of associated reproducing kernel Pontryagin spaces

Keywords

Cite

@article{arxiv.1310.1035,
  title  = {Realizations of slice hyperholomorphic generalized contractive and positive functions},
  author = {Daniel Alpay and Fabrizio Colombo and Izchak Lewkowicz and Irene Sabadini},
  journal= {arXiv preprint arXiv:1310.1035},
  year   = {2014}
}

Comments

Revised version,to appear in the Milan Journal of Mathematics

R2 v1 2026-06-22T01:39:49.268Z