Pontryagin spaces of entire functions II

Citation
M. Kaltenback et H. Woracek, Pontryagin spaces of entire functions II, INTEG EQ OP, 33(3), 1999, pp. 305-380
Citations number
31
Categorie Soggetti
Mathematics
Journal title
INTEGRAL EQUATIONS AND OPERATOR THEORY
ISSN journal
0378620X → ACNP
Volume
33
Issue
3
Year of publication
1999
Pages
305 - 380
Database
ISI
SICI code
0378-620X(199903)33:3<305:PSOEFI>2.0.ZU;2-2
Abstract
We continue the study of a generalization of L. de Branges's theory of Hilb ert spaces of entire functions to the Pontryagin space setting. In this - s econd - part we investigate isometric embeddings of spaces of entire functi ons into spaces L-2(mu) understood in a distributional sense and consider W eyl coefficients of matrix chains. The main task is to give a proof of an i ndefinite version of the inverse spectral theorem for Nevanlinna functions. Our methods use the theory developed by L. de Branges and the theory of ex tensions of symmetric operators of M.G.Krein.