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• W2184328006 abstract "We introduce the following linear combination interpolation problem (LCI): Given N distinct numbers w1,...wN and N + 1 complex numbers a1,...,aN and c, find all functions f(z) analytic in a simply connected set (depending on f) containing the points w1,...,wN such that N X u=1 auf(wu) = c. acting on functions analytic near 0. We prove that every function f, analytic in a neighborhood of the roots of p , is in M. In fact, this representation of f is unique. To solve the above interpolation problem, we employ an adapted systems theoretic realization, as well as an associated representation of the Cuntz relations (from multi-variable operator theory.) We study these operations in reproduc- ing kernel Hilbert space): We give necessary and sufficient condition for existence of realizations of these representation of the Cuntz relations by operators in certain reproducing kernel Hilbert spaces, and offer infinite product factorizations of the corresponding kernels." @default.
• W2184328006 created "2016-06-24" @default.
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• W2184328006 date "2014-08-19" @default.
• W2184328006 modified "2023-09-27" @default.
• W2184328006 title "LINEAR COMBINATION INTERPOLATION, CUNTZ RELATIONS AND INFINITE PRODUCTS" @default.
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• W2184328006 hasPublicationYear "2014" @default.
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