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Showing 1 to 2 of 2 for “"positive kernel"”.
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The Complete Pick Property and Reproducing Kernel Hilbert Spaces
… and V. Vinnikov. They show that a nondegenerate, positive kernel has the complete Pick property if $1/k$ has one positive square. We also look at the one-point extension approach developed by P. Quiggin which leads to a sufficient and necessary condition for a positive kernel to have the complete …
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Schur-class of finitely connected planar domains: the test-function approach
… set of matrix-valued holomorphic functions with positive real part on a finitely-connected planar domain 𝐑 normalized to have value equal to the identity matrix at some prescribed point t₀ ∈ 𝐑. This leads to an integral representation for such functions more general than what would be expected …