Contributions to Books:
M. Kaltenbäck, H. Woracek:
"Canonical differential equations of Hilbert-Schmidt type";
in: "ASC Report 28/2007",
issued by: Institute for Analysis and Scientific Computing;
Vienna University of Technology,
A canonical system of differential equations, or Hamiltonian system,
is a system of order two of the form Jy0(x) = −zH(x)y(x), x 2 R+. We
characterize the property that the selfadjoint operators associated to a canonical
system have resolvents of Hilbert-Schmidt type in terms of the Hamiltonian
H as well as in terms of the associated Titchmarsh-Weyl coefficient.
Canonical differential equation, Hilbert-Schmidt.
Electronic version of the publication:
Created from the Publication Database of the Vienna University of Technology.