On pseudo-spectral factorization over the complex numbers and quaternions

Daniel Alpay, Fabrizio Colombo, Izchak Lewkowicz, Irene Sabadini

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

This paper is a continuation of the research of our previous work [5] and considers quaternionic generalized Carathéodory functions and the related family of generalized positive functions. It is addressed to a wide audience which includes researchers in complex and hypercomplex analysis, in the theory of linear systems, but also electric engineers. For this reason it includes some results on generalized Carathéodory functions and their factorization in the classic complex case which might be of independent interest. An important new result is a pseudo-spectral factorization and we also discuss some interpolation problems in the class of quaternionic generalized positive functions.

Original languageEnglish
Pages (from-to)90-126
Number of pages37
JournalLinear Algebra and Its Applications
Volume606
DOIs
StatePublished - 1 Dec 2020

Keywords

  • Generalized Carathéodory functions
  • Generalized positive functions

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Numerical Analysis
  • Geometry and Topology
  • Discrete Mathematics and Combinatorics

Fingerprint

Dive into the research topics of 'On pseudo-spectral factorization over the complex numbers and quaternions'. Together they form a unique fingerprint.

Cite this