Rational slice hyperholomorphic functions

Daniel Alpay; Fabrizio Colombo; Irene Sabadini

doi:10.1007/978-3-319-42514-6_9

Rational slice hyperholomorphic functions

Daniel Alpay
, Fabrizio Colombo
, Irene Sabadini

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

3 Scopus citations

Abstract

Rational functions play an important role in linear system theory, and in the noncommutative case we mention in particular the works [225, 264, 265]. We also mention [65], which is set in the framework of noncommutative probability. There the approach uses a topological algebra of a very special structure (dual of a countably normed nuclear space, with a series of inequalities on the norms), and is also quite far from the quaternionic setting.

Original language	English
Title of host publication	Operator Theory
Subtitle of host publication	Advances and Applications
Publisher	Springer International Publishing
Pages	241-264
Number of pages	24
DOIs	https://doi.org/10.1007/978-3-319-42514-6_9
State	Published - 1 Jan 2016
Externally published	Yes

Publication series

Name	Operator Theory: Advances and Applications
Volume	256
ISSN (Print)	0255-0156
ISSN (Electronic)	2296-4878

ASJC Scopus subject areas

Analysis

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10.1007/978-3-319-42514-6_9

Cite this

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Rational slice hyperholomorphic functions

Abstract

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