Pontryagin spaces of entire functions I

Authors
Kaltenback, M Woracek, H
Citation
M. Kaltenback et H. Woracek, Pontryagin spaces of entire functions I, INTEG EQ OP, 33(1), 1999, pp. 34-97
Citations number
41
Categorie Soggetti
Mathematics
Journal title
INTEGRAL EQUATIONS AND OPERATOR THEORY
ISSN journal
0378620X → ACNP
Volume
33
Issue
1
Year of publication
1999
Pages
34 - 97
Database
ISI
SICI code
0378-620X(199901)33:1<34:PSOEFI>2.0.ZU;2-6
Abstract
We give a generalization of L.de Branges theory of Hilbert spaces of entire functions to the Pontryagin space setting. The aim of this - first - part is to provide some basic results and to investigate subspaces of Pontryagin spaces of entire functions. Our method makes strong use of L.de Branges's results and of the extension theory of symmetric operators as developed by M.G.Krein.