M. Lesch

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19982004

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Showing 1999 · math.DGShow all

3 papers · 2 filters

math.DG1999

Determinants of regular singular Sturm-Liouville operators

Matthias Lesch

We consider a regular singular Sturm-Liouville operator $L := - \frac{d ^{2}}{d x ^{2}} + \frac{q ( x )}{x ^{2} ( 1 - x ) ^{2}}$ on the line segment $[0, 1]$ . We impose certain boundary conditions such th…

math.DG1999

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…

math.DG1999

On the L^2-Stokes theorem and Hodge theory for singular algebraic varieties

D. Grieser, M. Lesch

For a projective algebraic variety $V$ with isolated singularities, endowed with a metric induced from an embedding, we consider the analysis of the natural partial differential op…