Interpolation problems,extensions of symmetric operators and reproducing kernel spaces II |
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| Authors: | Daniel Alpay Piet Bruinsma Aad Dijksma Henk de Snoo |
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| Institution: | (1) Department of Theoretical Mathematics, The Weizmann Institute of Science, 76100 Rehovot, Israel;(2) Department of Mathematics, University of Groningen, Postbox 800, 9700 AV Groningen, The Netherlands;(3) Present address: Department of Mathematics, Ben-Gurion University of the Negev, Beersheva, Israel |
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| Abstract: | The aim of part I and this paper is to study interpolation problems for pairs of matrix functions of the extended Nevanlinna class using two different approaches and to make explicit the various links between them. In part I we considered the approach via the Kreîn-Langer theory of extensions of symmetric operators. In this paper we adapt Dym's method to solve interpolation problems by means of the de Branges theory of Hilbert spaces of analytic functions. We also show here how the two solution methods are connected. |
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