A Beurling-Lax type theorem in the unit ball

DOI10.1016/S1631-073X(02)02271-9zbMath1010.47015OpenAlexW2018041762MaRDI QIDQ1600113

James Rovnyak, Aalt Dijksma, Daniel Alpay

Publication date: 18 May 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1631-073x(02)02271-9

zbMATH Keywords

reproducing kernel Hilbert spaceSchur multiplier

Mathematics Subject Classification ID

Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (5)

Backward shift operator and finite dimensional de Branges Rovnyak spaces in the ball. ⋮ de Branges--Rovnyak spaces and Schur functions: The hyperholomorphic case ⋮ Point evaluation and Hardy space: the multiscale case ⋮ Carathéodory Fejér interpolation in the ball with mixed derivatives ⋮ Translation representations and scattering by two intervals

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• Complete Nevanlinna-Pick kernels
• For which reproducing kernel Hilbert spaces is Pick's theorem true!
• Invariant subspaces and Nevanlinna-Pick kernels
• The structure of inner multipliers on spaces with complete Nevanlinna Pick kernels
• Integral formulas for a sub-Hardy Hilbert space on the ball with complete Nevanlinna–Pick reproducing kernel
• The curvature invariant of a Hilbert module over ℂ [z1, ..., zd]
• Sous-espaces de codimension finie dans la boule unité et un problème de factorisation
• Sections de Brune en théorie des systèmes non stationnaires
• Boundary interpolation in the ball

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