Contributions to Books:
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,
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.
Electronic version of the publication:
Created from the Publication Database of the Vienna University of Technology.