12 citations · 32 across the 9 of their papers we have counts for
9 papers
How singular are moment generating functions?
Eberhard Mayerhofer
This short note concerns the possible singular behaviour of moment generating functions of finite measures at the boundary of their domain of existence. We look closer at Example 7…
Affine Diffusion Processes: Theory and Applications
Damir Filipovic, Eberhard Mayerhofer
We revisit affine diffusion processes on general and on the canonical state space in particular. A detailed study of theoretic and applied aspects of this class of Markov processes…
On positivity in algebras of tempered generalized functions
Eberhard Mayerhofer
An explicit counterexample shows that contrary to the situation in the special Colombeau algebra, positivity and invertibility cannot be characterized pointwise in algebras of temp…
Wave equations on space-times of low regularity: Existence results and regularity theory in the framework of generalized function algebras
James D. E. Grant, Eberhard Mayerhofer
We present recent developments concerning Lorentzian geometry in algebras of generalized functions. These have, in particular, raised a new interest in refined regularity theory fo…
The wave equation on singular space-times
James D. E. Grant, Eberhard Mayerhofer, Roland Steinbauer
We prove local unique solvability of the wave equation for a large class of weakly singular, locally bounded space-time metrics in a suitable space of generalised functions.
Homogeneity in generalized function algebras
Clemens Hanel, Eberhard Mayerhofer, Stevan Pilipovic +1
We investigate homogeneity in the special Colombeau algebra. It is shown that strongly scaling invariant functions on the d-dimensional space are simply the constants. On the pierc…