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Titlebook: Reproducing Kernel Spaces and Applications; Daniel Alpay Book 2003 Springer Basel AG 2003 Complex analysis.Functional analysis.Hilbert spa

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Linear Fractional Transformations, Riccati Equations and Bitangential Interpolation, Revisited,unction and . runs over the set of . matrix-valued functions that are holomorphic and contractive in either the open unit disk or the open upper (or right) half-plane is derived. This formula leads to transparent proofs of a number of bitangential interpolation problems. The analysis uses methods ba
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Reproducing Kernels and a Family of Bounded Linear Operators,mental concept for the inversion of a family of bounded linear operators with continuous parameters on a Hilbert space into various Hilbert spaces. After reviewing the applications to linear mappings in the framework of Hilbert spaces of the general theory of reproducing kernels, we shall state the
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