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.
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.
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@article{CRMATH_2003__336_12_975_0,
author = {Alpay, Daniel and Schneider, Baruch and Shapiro, Michael and Volok, Dan},
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},
url = {http://www.numdam.org/articles/10.1016/S1631-073X(03)00233-4/}
}
TY - JOUR AU - Alpay, Daniel AU - Schneider, Baruch AU - Shapiro, Michael AU - Volok, Dan 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 UR - http://www.numdam.org/articles/10.1016/S1631-073X(03)00233-4/ DO - 10.1016/S1631-073X(03)00233-4 LA - fr ID - CRMATH_2003__336_12_975_0 ER -
%0 Journal Article %A Alpay, Daniel %A Schneider, Baruch %A Shapiro, Michael %A Volok, Dan %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 %U http://www.numdam.org/articles/10.1016/S1631-073X(03)00233-4/ %R 10.1016/S1631-073X(03)00233-4 %G fr %F CRMATH_2003__336_12_975_0
Alpay, Daniel; Schneider, Baruch; Shapiro, Michael; Volok, Dan. Fonctions rationnelles et théorie de la réalisation: le cas hyper-analytique. Comptes Rendus. Mathématique, Tome 336 (2003) no. 12, pp. 975-980. doi : 10.1016/S1631-073X(03)00233-4. http://www.numdam.org/articles/10.1016/S1631-073X(03)00233-4/
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