Contributions to Books:
H. Woracek:
"Entries of indefinite Nevanlinna matrices";
in: "ASC Report 10/2013",
issued by: Institute for Analysis and Scientific Computing;
Vienna University of Technology,
Wien,
2013,
ISBN: 978-3-902627-06-3,
1
- 31.
English abstract:
In the early 1950īs M.G.Krein characterised those entire functions
which are an entry of some Nevanlinna matrix, and those pairs of entire functions which are a row of some such matrix. In connection with Pontryagin space versions of Kreinīs theory of entire operators and de Brangesī theory of Hilbert spaces of entire functions, an indefinite analogue of Nevanlinna matrices plays a role. In this
paper we extend the mentioned characterisations to the indefinite situation and investigate the geometry of associated reproducing kernel Pontryagin spaces.
Keywords:
Nevanlinna matrix, Pontryagin space, entire function, Krein class
Electronic version of the publication:
http://www.asc.tuwien.ac.at/preprint/2013/asc10x2013.pdf
Created from the Publication Database of the Vienna University of Technology.