7 citations · 10 across the 7 of their papers we have counts for
7 papers
Calculus for parametric boundary problems with global projection conditions
Joerg Seiler
A pseudodifferential calculus for parameter-dependent operators on smooth manifolds with boundary in the spirit of Boutet de Monvel's algebra is constructed. The calculus contains,…
Singular Green Operators of Finite Regularity in the Edge Algebra Formalism
Joerg Seiler
We introduce a calculus for parameter-dependent singular Green operators on the half-space that combines both elements of Grubb's calculus for boundary value probl…
Boundary value problems with Atiyah-Patodi-Singer type conditions and spectral triples
U. Battisti, J. Seiler
We study realizations of pseudodifferential operators acting on sections of vector-bundles on a smooth, compact manifold with boundary, subject to conditions of Atiyah-Patodi-Singe…
Determinants of Classical SG-Pseudodifferential Operators
Lidia Maniccia, Elmar Schrohe, Joerg Seiler
We introduce a generalized trace functional TR in the spirit of Kontsevich and Vishik's canonical trace for classical SG-pseudodifferential operators on R^n and suitable manifolds,…
-calculus for Hypoelliptic Pseudodifferential Operators
Olesya Bilyj, Elmar Schrohe, Joerg Seiler
We establish the existence of a bounded -calculus for a large class of hypoelliptic pseudodifferential operators on R^n and closed manifolds.
Uniqueness of the Kontsevich-Vishik Trace
Lidia Maniccia, Elmar Schrohe, Joerg Seiler
Let M be a closed manifold. We show that the Kontsevich-Vishik trace, which is defined on the set of all classical pseudodifferential operators on M, whose (complex) order is not a…