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Shifted Hermite-Biehler Functions and Their Applications |
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| Authors: | Vyacheslav Pivovarchik Harald Woracek |
| Affiliation: | 1.Department of Applied Mathematics and Informatics,South-Ukrainian State Pedagogical University,Odessa,Ukraine;2.Institut für Analysis und Scientific Computing,Technische Universit?t Wien,Wien,Austria |
| Abstract: | We investigate a particular subclass of so-called symmetric indefinite Hermite-Biehler functions and give a characterization of functions of this class in terms of the location of their zeros. For the proof we employ the theory of de Branges Pontryagin spaces of entire functions. We apply our results to obtain information on the eigenvalues of some boundary value problems. |
| Keywords: | KeywordHeading" >Mathematics Subject Classification (2000). Primary 46E22 46C20 65L10 Secondary 30D99 30D25 |
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