V Pivovarchik, H. Woracek:

"Sums of Nevanlinna functions and differential equations on star-shaped graphs";

in: "ASC Report 17/2008", issued by: Instiute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2008, ISBN: 978-3-902627-01-8.

Additive decompositions of a meromorphic function give rise to quotient

representations of a particular form. We raise the question which quotient

representations of a given function arise in this way. This question is

answered by means of two characterizations via different terms. We pay

particular attention to functions belonging to various subclasses of the

Nevanlinna class of functions with nonnegative imaginary part throughout

the upper half-plane. Our results lead to some direct and inverse spectral

theorems for systems of strings or systems of Sturm-Liouville equations

supported on a star-shaped graph.

Nevanlinna function, star-graph, string equation, Kirchhoff condition.

http://www.asc.tuwien.ac.at/preprint/2008/asc17x2008.pdf

Created from the Publication Database of the Vienna University of Technology.