Rational functions and realization theory: The hyperholomorphic case

DOI10.1016/S1631-073X(03)00233-4zbMath1058.30041OpenAlexW1970072499MaRDI QIDQ1408134

Michael V. Shapiro, Dan Volok, Baruch Schneider, Daniel Alpay

Publication date: 15 September 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1631-073x(03)00233-4

zbMATH Keywords

rational functionsquaternionic analysisrepresentation of functions

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items (10)

Schur Analysis in the Quaternionic Setting: The Fueter Regular and the Slice Regular Case ⋮ Gleason's problem, rational functions and spaces of left-regular functions: the split-quaternion setting ⋮ On the structure of the Taylor series in Clifford and quaternionic analysis ⋮ de Branges--Rovnyak spaces and Schur functions: The hyperholomorphic case ⋮ Rational functions associated with the white noise space and related topics ⋮ A generalization of the Wick-Itô stochastic integral ⋮ Rational hyperholomorphic functions in \(\mathbb R^4\) ⋮ Rational functions and Gleason's problem associated to Dirac's operator. (Fonctions rationnelles et problème de Gleason associés à l'opérateur de Dirac) ⋮ On a polyanalytic approach to noncommutative de Branges-Rovnyak spaces and Schur analysis ⋮ Hyperholomorphic rational functions: the Clifford analysis case

Cites Work

• Minimal factorization of matrix and operator functions
• Subalgebras of \(C^*\)-algebras. III: Multivariable operator theory
• A realization theorem for rational functions of several complex variables
• Some finite-dimensional backward-shift-invariant subspaces in the ball and a related interpolation problem
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