18 citations · 115 across the 44 of their papers we have counts for
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Quantitative Runge type approximation theorems for zero solutions of certain partial differential operators
Andreas Debrouwere, Thomas Kalmes
We prove quantitative Runge type approximation results for spaces of smooth zero solutions of several classes of linear partial differential operators with constant coefficients. A…
A note on the barrelledness of weighted -spaces of ultradifferentiable functions
Andreas Debrouwere, Lenny Neyt
In this note we consider weighted -spaces of ultradifferentiable functions defined via a weight function and a weight system, as introduced in our previous work [4]. We prov…
Linear topological invariants for kernels of convolution and differential operators
Andreas Debrouwere, Thomas Kalmes
We establish the condition for smooth kernels of various types of convolution and differential operators. By the - splitting theorem of Vogt and Wagner, this impli…
A note on composition operators between weighted spaces of smooth functions
Andreas Debrouwere, Lenny Neyt
For certain weighted locally convex spaces and of one real variable smooth functions, we characterize the smooth functions for which the comp…