5 papers
Nonrelativistic Limit of Generalized MIT Bag Models and Spectral Inequalities
Jussi Behrndt, Dale Frymark, Markus Holzmann +1
For a family of self-adjoint Dirac operators subject to generalized MIT bag boundary conditions on domains in it is shown that…
Boundary Triples and Weyl -functions for Powers of the Jacobi Differential Operator
Dale Frymark
The abstract theory of boundary triples is applied to the classical Jacobi differential operator and its powers in order to obtain the Weyl -function for several self-adjoint ex…
Spectral Analysis, Model Theory and Applications of Finite-Rank Perturbations
Dale Frymark, Constanze Liaw
This survey focuses on two main types of finite-rank perturbations: self-adjoint and unitary. We describe both classical and more recent spectral results. We pay special attention…
Spectral Analysis of Iterated Rank-One Perturbations
Dale Frymark, Constanze Liaw
The authors study the spectral theory of self-adjoint operators that are subject to certain types of perturbations. An iterative introduction of infinitely many randomly coupled ra…
Properties and Decompositions of Domains for Powers of the Jacobi Differential Operator
Dale Frymark, Constanze Liaw
We set out to build a framework for self-adjoint extension theory for powers of the Jacobi differential operator that does not make use of classical deficiency elements. Instead, w…