Publications in Scientific Journals:
M. Langer, H. Woracek:
"The exponential type of the fundamental solution of an indefinite Hamiltonian system";
Complex Analysis and Operator Theory,
The fundamental solution of a Hamiltonian system whose Hamiltonian
H is positive definite and locally integrable is an entire function of exponential type.
Its exponential type can be computed as the integral over
√det H. We show that this formula remains true in the indefinite (Pontryagin space) situation, where the Hamiltonian is permitted to have finitely many inner singularities. As a consequence,
we obtain a statement on non-cancellation of exponential growth for a class of entire matrix functions.
Hamiltonian system, Exponential type, Pontryagin space
"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
Created from the Publication Database of the Vienna University of Technology.