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Showing 1 to 2 of 2 for “"de Branges Rovnyak Spaces"”.
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A STUDY OF DE BRANGES - ROVNYAK AND DIRICHLET SPACES
This doctoral thesis is devoted to the study of certain spaces of analytic functions on the unit disk $\mathbb{D}$ of the complex plain, $\mathbb{D}:=\{z\in\mathbb{C}\colon |z|<1\}$. This work lies in the intersection between complex analysis, operator theory and harmonic analysis. In particular, …
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Several Problems Concerning Multivariate Functions and Associated Operators
… It first discusses the structure of Agler decompositions, which give useful ways to represent two-variable Schur functions on the bidisk using positive kernels. An elementary proof of the existence of Agler decompositions is provided, which uses special shift-invariant subspaces of the …