Publications (6)
The boundary value problem for Laplacian on differential forms and conformally Einstein infinity
Matthias Fischmann, Petr Somberg
We completely resolve the boundary value problem for differential forms and conformally Einstein infinity in terms of the dual Hahn polynomials. Consequently, we produce explicit f…
Bernstein-Sato identities and conformal symmetry breaking operators
Matthias Fischmann, Bent Ãrsted, Petr Somberg
We present Bernstein-Sato identities for scalar-, spinor- and differential form-valued distribution kernels on Euclidean space associated to conformal symmetry breaking operators.…
Emerging Markets for RFID Traces
Matthias Bauer, Benjamin Fabian, Matthias Fischmann +1
RFID tags are held to become ubiquitous in logistics in the near future, and item-level tagging will pave the way for Ubiquitous Computing, for example in application fields like s…
On Conformal Powers of the Dirac Operator on Spin Manifolds
Matthias Fischmann
The well known conformal covariance of the Dirac operator acting on spinor fields over a semi Riemannian spin manifold does not extend to powers thereof in general. For odd powers…
On Conformal Powers of the Dirac Operator on Einstein Manifolds
Matthias Fischmann, Christian Krattenthaler, Petr Somberg
We determine the structure of conformal powers of the Dirac operator on Einstein {\it Spin}-manifolds in terms of the product formula for shifted Dirac operators. The result is bas…
Residue Family Operators on Spinors and Spectral Theory of Dirac operator on Poincaré-Einstein Spaces
Matthias Fischmann, Petr Somberg
We study conformal -subgeometry of submanifolds in a semi-Riemannian -manifold, focusing on conformal -manifolds and their Poincaré-Einstein metrics $(…