Realizations of slice hyperholomorphic generalized contractive and positive functions

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

Revised version,to appear in the Milan Journal of Mathematics

References in corpus (1)

• Self-mappings of the quaternionic unit ball: multiplier properties, Schwarz-Pick inequality, and Nevanlinna--Pick interpolation problem

Cited by in corpus (2)

• A new resolvent equation for the S-functional calculus
• Invariant metrics for the quaternionic Hardy space