Hyperholomorphic rational functions: the Clifford analysis case

DOI10.1080/17476930600793654zbMath1125.30041OpenAlexW1971064194MaRDI QIDQ3426252

Flor de María Correa-Romero, Daniel Alpay, Michael V. Shapiro, Maria Elena Luna-Elizarrarás

Publication date: 8 March 2007

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476930600793654

zbMATH Keywords

Clifford algebraGleason's problemhyperholomorphic functionsCauchy-Kovalevskaya extension

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Algebras of holomorphic functions of several complex variables (32A38)

Related Items (7)

Schur Analysis in the Quaternionic Setting: The Fueter Regular and the Slice Regular Case ⋮ Gleason's problem associated to a real ternary algebra and applications ⋮ A general setting for functions of Fueter variables: differentiability, rational functions, Fock module and related topics ⋮ On the structure of the Taylor series in Clifford and quaternionic analysis ⋮ Rational functions associated with the white noise space and related topics ⋮ 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

Cites Work

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• On Cauchy-Kovalewski extension
• Rational functions and realization theory: The hyperholomorphic case
• de Branges--Rovnyak spaces and Schur functions: The hyperholomorphic case
• Rational hyperholomorphic functions in \(\mathbb R^4\)
• A product and an exponential function in hypercomplex function theory

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