Generalized resolvent matrices and spaces of analytic functions |
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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 introduce triplet spaces for symmetric relations with defect index (1, 1) in a Pontryagin space. Representations of Pontryagin spaces by spaces of vector-valued analytic functions are investigated. These concepts are used to study 2×2-matrix valued analytic functions which satisfy a certain kernel condition. |
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| Keywords: | 46C20 30H05 47B50 46E22 46E20 |
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