2000 character limit reached
Positive and generalized positive real lemma for slice hyperholomorphic functions (1810.05847v1)
Published 13 Oct 2018 in math.CV
Abstract: In this paper we prove a quaternionic positive real lemma as well as its generalized version, in case the associated kernel has negative squares for slice hyperholomorphic functions. We consider the case of functions with positive real part in the half space of quaternions with positive real part, as well as the case of (generalized) Schur functions in the open unit ball.