Espaces de Branges Rovnyak et fonctions de Schur : le cas hyper-analytique |
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| Authors: | Daniel Alpay Michael Shapiro Dan Volok |
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| Affiliation: | 1. Department of Mathematics, Ben-Gurion University of the Negev, Beer-Sheva 84105, Israël;2. Departamento de Matemáticas, Escuela Superior de F??sica y Mathemáticas, Instituto Politécnico Nacional, 07300 México, D.F., Mexique |
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| Abstract: | We extend to the hyperholomorphic case the notion of Schur functions and the corresponding realization theory. We introduce the notion of characteristic operator function for coisometric colligations between Hilbert spaces of hyperholomorphic functions. We show that every Schur function is the characteristic operator function of a coisometric colligation and vice-versa. To cite this article: D. Alpay et al., C. R. Acad. Sci. Paris, Ser. I 338 (2004). |
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