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dspace.pdpu.edu.ua/jspui/handle/123456789/5322| Title: | Shifted Hermite-Biehler functions and their applications |
| Authors: | Пивоварчик, В’ячеслав Миколайович Pyvovarchyk, Viacheslav Mykolayovуch Woracek, Harald |
| Keywords: | Hermite-Biehler class Pontryagin space de Branges space boundary value problem |
| Issue Date: | 2007 |
| Publisher: | Springer International Publishing |
| Citation: | Pivovarchik V. Shifted Hermite-Biehler Functions and Their Applications / V. Pivovarchik, H. Woracek // Integral Equations and Operator Theory. – 2007. – № 57. – P. 101-126. |
| 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. |
| URI: | dspace.pdpu.edu.ua/jspui/handle/123456789/5322 |
| Appears in Collections: | Кафедра вищої математики і статистики |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Shifted Hermite-Biehler Functions and Their Applications .pdf | 277.62 kB | Adobe PDF | View/Open |
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