4 papers · 1 filter
On boundary value problems for Dirac type operators. I. Regularity and self-adjointness
Jochen Brüning, Matthias Lesch
In a series of papers, we will develop systematically the basic spectral theory of (self-adjoint) boundary value problems for operators of Dirac type. We begin in this paper with t…
Determinants of regular singular Sturm-Liouville operators
Matthias Lesch
We consider a regular singular Sturm-Liouville operator on the line segment . We impose certain boundary conditions such th…
Spectral theory of boundary value problems for Dirac type operators
Jochen Brüning, Matthias Lesch
The purpose of this note is to describe a unified approach to the fundamental results in the spectral theory of boundary value problems, restricted to the case of Dirac type operat…
On the L^2-Stokes theorem and Hodge theory for singular algebraic varieties
D. Grieser, M. Lesch
For a projective algebraic variety with isolated singularities, endowed with a metric induced from an embedding, we consider the analysis of the natural partial differential op…