1 citations · 2 across the 7 of their papers we have counts for
12 papers
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…
Gabor frame characterisations of generalised modulation spaces
Andreas Debrouwere, Bojan Prangoski
We obtain Gabor frame characterisations of modulation spaces defined via a class of translation-modulation invariant Banach spaces of distributions that was recently introduced in…
The Borel-Ritt problem in Beurling ultraholomorphic classes
Andreas Debrouwere
We give a complete solution to the Borel-Ritt problem in non-uniform spaces of ultraholomorphic functions of Beurling type, where is an unbounded secto…
Sequence space representations for spaces of entire functions with rapid decay on strips
Andreas Debrouwere
We obtain sequence space representations for a class of Fréchet spaces of entire functions with rapid decay on horizontal strips. In particular, we show that the projective Gelfand…
On the space of Laplace transformable distributions
Andreas Debrouwere, Eduard A. Nigsch
We show that the space of Laplace transformable distributions, where is a non-empty convex open set, is an ultrabornological (PLS)-space…
On the space of ultradistributions vanishing at infinity
Andreas Debrouwere, Lenny Neyt, Jasson Vindas
We study the structural and linear topological properties of the space of ultradistributions vanishing at infinity (with respect to a weight fun…