3 papers
math.SP2025
Higher order spectral shift of Euclidean Callias operators
Oliver Fürst
We consider Dirac-Schrödinger operators over odd-dimensional Euclidean space. The conditions for the potential are based on those of C. Callias in his famous paper on the correspo…
math.FA2024
Trace and Index of Dirac-Schrödinger Operators on Open Space with Operator Potentials
Oliver Fürst
We develop a principal trace and generalized index formula for a Dirac-Schrödinger operator on open space of odd dimension with a potential given by a family of self…
math.FA2024
The Witten Index of massless -Dirac-Schrödinger Operators
Oliver Fürst
We calculate the Witten index of a class of (non-Fredholm) Dirac-Schrödinger operators over for odd, and thus generalize known results for the case $d…