caa a22 4500 467931879 CHVBK 20180406152945.0 cr unu---uuuuu 170328e20061201xx s 000 0 eng 10.1007/s00020-006-1443-3 doi (NATIONALLICENCE)springer-10.1007/s00020-006-1443-3 De Branges Spaces of Entire Functions Symmetric About the Origin [Elektronische Daten] [Michael Kaltenbäck, Henrik Winkler, Harald Woracek] Abstract.: We define and investigate the class of symmetric and the class of semibounded de Branges spaces of entire functions. A construction is made which assigns to each symmetric de Branges space a semibounded one. By employing operator theoretic tools it is shown that every semibounded de Branges space can be obtained in this way, and which symmetric spaces give rise to the same semibounded space. Those subclasses of Hermite-Biehler functions are determined which correspond to symmetric or semibounded, respectively, nondegenerated de Branges spaces. The above assignment is determined in terms of the respective generating Hermite-Biehler functions. Birkhäuser Verlag, Basel, 2006 De Branges space nationallicence almost Pontryagin space nationallicence Hermite-Biehler function nationallicence Kaltenbäck Michael Institut für Analysis und Scientific Computing, Technische Universität Wien, Wiedner Hauptstr. 8-10/101, A-1040, Wien, Austria aut Winkler Henrik Institut für Analysis und Scientific Computing, Technische Universität Wien, Wiedner Hauptstr. 8-10/101, A-1040, Wien, Austria aut Woracek Harald Institut für Analysis und Scientific Computing, Technische Universität Wien, Wiedner Hauptstr. 8-10/101, A-1040, Wien, Austria aut Integral Equations and Operator Theory Birkhäuser-Verlag; http://www.birkhauser.ch 56/4(2006-12-01), 483-509 0378-620X 56:4<483 2006 56 20 https://doi.org/10.1007/s00020-006-1443-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00020-006-1443-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kaltenbäck Michael Institut für Analysis und Scientific Computing, Technische Universität Wien, Wiedner Hauptstr. 8-10/101, A-1040, Wien, Austria aut NATIONALLICENCE 700 1- Winkler Henrik Institut für Analysis und Scientific Computing, Technische Universität Wien, Wiedner Hauptstr. 8-10/101, A-1040, Wien, Austria aut NATIONALLICENCE 700 1- Woracek Harald Institut für Analysis und Scientific Computing, Technische Universität Wien, Wiedner Hauptstr. 8-10/101, A-1040, Wien, Austria aut NATIONALLICENCE 773 0- Integral Equations and Operator Theory Birkhäuser-Verlag; http://www.birkhauser.ch 56/4(2006-12-01), 483-509 0378-620X 56:4<483 2006 56 20 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer