Pontryagin spaces of entire functions II |
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Authors: | M. Kaltenbäck H. Woracek |
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Affiliation: | (1) Institut für Analysis und Technische Mathematik, TU Wien, Wiedner Hauptstr. 8-10/114.1, A-1040 Wien, AUSTRIA |
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Abstract: | We continue the study of a generalization of L. de Branges's theory of Hilbert spaces of entire functions to the Pontryagin space setting. In this-second-part we investigate isometric embeddings of spaces of entire functions into spacesL2 ( ) understood in a distributional sense and consider Weyl coefficients of matrix chains. The main task is to give a proof of an indefinite version of the inverse spectral theorem for Nevanlinna functions. Our methods use the theory developed by L. de Branges and the theory of extensions of symmetric operators of M.G.Krein. |
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Keywords: | 46C20 30H05 47B50 47A45 |
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