D. Krejcirik
On the similarity of Sturm-Liouville operators with non-Hermitian boundary conditions to self-adjoint and normal operators.
Fri, 08/26/2011 - 15:01 — SomNambulAuthors: D. Krejcirik, P. Siegl, J. Zelezny
Subjects: Spectral Theory
AbstractWe consider one-dimensional Schroedinger-type operators in a bounded interval
with non-self-adjoint Robin-type boundary conditions. It is well known that
such operators are generically conjugate to normal operators via a similarity
transformation. Motivated by recent interests in quasi-Hermitian Hamiltonians
in quantum mechanics, we study properties of the transformations in detail. We
show that they can be expressed as the sum of the identity and an integral
Hilbert-Schmidt operator.On some strong ratio limit theorems for heat kernels.
Wed, 12/23/2009 - 16:01 — SomNambulAuthors: M. Fraas, D. Krejcirik, Y. Pinchover
Subjects: Analysis of PDEs
AbstractWe study strong ratio limit properties of the quotients of the heat kernels
of subcritical and critical operators which are defined on a noncompact
Riemannian manifold.
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