[Rational functions and realization theory: the hyperholomorphic case]
We define and study the ring of rational functions in the hyperholomorphic setting. We give a number of equivalent characterizations of rationality. The Cauchy–Kovalevskaya product plays an important role in the arguments.
Nous définissons et étudions l'anneau des fonctions rationnelles dans le cadre hyper-analytique. Nous donnons un nombre de définitions équivalentes de la rationalité. La multiplication de Cauchy–Kovalevskaya joue un rôle important dans la théorie.
Accepted:
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Daniel Alpay 1; Baruch Schneider 1; Michael Shapiro 2; Dan Volok 1
@article{CRMATH_2003__336_12_975_0,
author = {Daniel Alpay and Baruch Schneider and Michael Shapiro and Dan Volok},
title = {Fonctions rationnelles et th\'eorie de la r\'ealisation: le cas hyper-analytique},
journal = {Comptes Rendus. Math\'ematique},
pages = {975--980},
publisher = {Elsevier},
volume = {336},
number = {12},
year = {2003},
doi = {10.1016/S1631-073X(03)00233-4},
language = {fr},
}
TY - JOUR AU - Daniel Alpay AU - Baruch Schneider AU - Michael Shapiro AU - Dan Volok TI - Fonctions rationnelles et théorie de la réalisation: le cas hyper-analytique JO - Comptes Rendus. Mathématique PY - 2003 SP - 975 EP - 980 VL - 336 IS - 12 PB - Elsevier DO - 10.1016/S1631-073X(03)00233-4 LA - fr ID - CRMATH_2003__336_12_975_0 ER -
%0 Journal Article %A Daniel Alpay %A Baruch Schneider %A Michael Shapiro %A Dan Volok %T Fonctions rationnelles et théorie de la réalisation: le cas hyper-analytique %J Comptes Rendus. Mathématique %D 2003 %P 975-980 %V 336 %N 12 %I Elsevier %R 10.1016/S1631-073X(03)00233-4 %G fr %F CRMATH_2003__336_12_975_0
Daniel Alpay; Baruch Schneider; Michael Shapiro; Dan Volok. Fonctions rationnelles et théorie de la réalisation: le cas hyper-analytique. Comptes Rendus. Mathématique, Volume 336 (2003) no. 12, pp. 975-980. doi : 10.1016/S1631-073X(03)00233-4. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(03)00233-4/
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