Reproducing Kernel Spaces and Applications -

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Résumé :
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Sommaire:
Realization of Functions into the Symmetrised Bidisc.- A Basic Interpolation Problem for Generalized Schur Functions and Coisometric Realizations.- Formal Reproducing Kernel Hilbert Spaces: The Commutative and Noncommutative Settings.- On Realizations of Rational Matrix Functions of Several Complex Variables II.- Bergman Projection and Weighted Holomorphic Functions.- Linear Fractional Transformations, Riccati Equations and Bitangential Interpolation, Revisited.- A Class of Matrix-valued Schr?dinger Operators with Prescribed Finite-band Spectra.- Laplace Transforms Asymptotics, Bergman Kernels and Composition Operators.- On the Structure of Self-similar Systems: A Hilbert Space Approach.- Reproducing Kernels and a Family of Bounded Linear Operators.- Multipliers in the Reproducing Kernel Hilbert Space, Subnormality and Noncommutative Complex Analysis.- Existence of Unitary Dilations as a Moment Problem.