13 citations · 19 across the 11 of their papers we have counts for
13 papers
Reentrant value fields as delayed coupled reaction-diffusion systems on finite graphs
Karsten Bohlen
We describe a dynamical system in which a symbolic field is coupled to a geometric field via a bipartite Hilbert-Schmidt kernel. The system is fully described by a retarded functio…
A Volterra Calculus for Lie Groupoids
Karsten Bohlen
A pseudodifferential Volterra calculus for inverting parabolic differential equations on Lie groupoids is introduced. This enables the study of fundamental solutions of various cas…
Internal absolute geometry I: desingularization
Karsten Bohlen
We introduce an axiomatization of Grothendieck sites with additional structure, and we describe sheaves that reconstruct groupoids which are internal to the site structure. This se…
A geometric approach to K-homology for Lie manifolds
Karsten Bohlen, Jean-Marie Lescure
We show that the computation of the Fredholm index of a fully elliptic pseudodifferential operator on an integrated Lie manifold can be reduced to the computation of the index of a…
The Fredholm index for operators of tensor product type
Karsten Bohlen
We consider bisingular pseudodifferential operators which are pseudodifferential operators of tensor product type. These operators are defined on the product manifold $M_1 \times M…
Quantization on manifolds with an embedded submanifold
Karsten Bohlen, René Schulz
We investigate a quantization problem which asks for the construction of an algebra for relative elliptic problems of pseudodifferential type associated to smooth embeddings. Speci…