Positive and Generalized Positive Real Lemma for Slice Hyperholomorphic Functions View Full Text


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Article Info

DATE

2019-02

AUTHORS

Daniel Alpay, Fabrizio Colombo, Izchak Lewkowicz, Irene Sabadini

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. More... »

PAGES

4

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s00020-019-2503-9

DOI

http://dx.doi.org/10.1007/s00020-019-2503-9

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https://app.dimensions.ai/details/publication/pub.1111776972


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