Generalisations of Pick's theorem to reproducing Kernel Hilbert spaces

Pick's theorem states that there exists a function in H1, which is bounded by 1 and takes given values at given points, if and only if a certain matrix is positive. H1 is the space of multipliers of H2 and this theorem has a natural generalisation when H1 is replaced by the space of multipliers...

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Bibliographic Details
Main Author: Quiggin, Peter Philip
Other Authors: Young, Nicholas
Published: Lancaster University 1994
Subjects:
510
Online Access:https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.239120