5 papers
Analysis on surfaces with locally bounded integral curvature
Sebastian Boldt, Batu Güneysu, Maxime Marot
We prove several analytic results on (possibly noncompact) complete singular surfaces having locally bounded integral curvature (in short: BIC surfaces). Regarding these as metric…
Essential spectrum and Feller type properties
Ali BenAmor, Batu Gueneysu, Peter Stollmann
We give necessary and sufficient conditions for a regular semi-Dirichlet form to enjoy a new Feller type property, which we call \emph{weak Feller property}. Our characterization i…
Estimates for the covariant derivative of the heat semigroup on differential forms, and covariant Riesz transforms
Robert Baumgarth, Baptiste Devyver, Batu Güneysu
With is the uniquely determined self-adjoint realization of the Laplace operator acting on -forms on a geodesically complete Riemannian manifold and …
Feynman path integrals for magnetic Schrödinger operators on infinite weighted graphs
Batu Güneysu, Matthias Keller
We prove a Feynman path integral formula for the unitary group , , associated with a discrete magnetic Schrödinger operator on a large class o…
Functions with bounded variation on a class of Riemannian manifolds with Ricci curvature unbounded from below
Batu Güneysu, Diego Pallara
After establishing some new global facts (like a measure theoretic structure theorem and approximation results) about complex-valued functions with bounded variation on arbitrary n…