Un théorème de type Beurling–Lax dans la boule unitéA Beurling–Lax type theorem in the unit ball |
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| Authors: | Daniel Alpay Aad Dijksma James Rovnyak |
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| Institution: | 1. Département de mathématiques, Université Ben-Gurion du Negev, POB 653, 84105 Beer-Sheva, Israel;2. Département de mathématiques, Université de Groningue, POB 800, 9700 AV , Groningue, Pays-Bas;3. Département de mathématiques, Université de Virginie, PO Box 400137, Charlottesville, VA 22904-4137, USA |
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| Abstract: | We prove a Beurling–Lax theorem for a family of reproducing kernel Hilbert spaces of functions analytic in an open subset of the unit ball containing the origin. The spaces under consideration are characterized by functions called Schur multipliers. Using the theory of linear relations in Pontryagin spaces we also give coisometric realizations of Schur multipliers. To cite this article: D. Alpay et al., C. R. Acad. Sci. Paris, Ser. I 334 (2002) 349–354. |
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