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Hermite-Biehler functions with zeros close to the imaginary axis |
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| Authors: | Michael Kaltenbä ck Harald Woracek |
| Institution: | Institut für Analysis und Scientific Computing, Technische Universität Wien, Wiedner Hauptstr. 8--10/101, A--1040 Wien, Austria ; Institut für Analysis und Scientific Computing, Technische Universität Wien, Wiedner Hauptstr. 8--10/101, A--1040 Wien, Austria |
| Abstract: | A Hermite-Biehler function  gives rise to a de Branges Hilbert space  consisting of entire functions. We are going to show that for Hermite-Biehler functions of sufficiently small growth and a certain distribution of zeros every proper de Branges subspace of  coincides for some  with the  -dimensional linear space of all polynomials of degree at most  . |
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