18 citations · 115 across the 44 of their papers we have counts for
5 papers · 1 filter
A Pełczyński-Vogt decomposition result for (PLS)-spaces and sequence space representations
Andreas Debrouwere, Lenny Neyt
We establish a Pelczyński-Vogt decomposition result for (PLS)-type power series spaces of infinite type. By combining this result with the theory of Gabor frames, we obtain sequenc…
Sequence space representations of Beurling-Björck spaces via Gabor frames and Wilson bases
Andreas Debrouwere, Lenny Neyt
We establish sequence space representations of a broad class of Beurling-Björck spaces and . We develop two different approac…
A linear topological invariant for weighted spaces of holomorphic functions
Andreas Debrouwere, Quinten Van Boxstael
We study the linear topological invariant for a class of Fréchet spaces of holomorphic functions of rapid decay on strip-like domains in the complex plane, defined via weight…
Moment problems in the Schwartz and Gelfand-Shilov spaces
Andreas Debrouwere
We provide a geometric characterization of the closed sets such that every real -sequence is the moment sequence of some Schwartz function on $\mathbb…
On the surjectivity of the Cauchy-Riemann and Laplace operators on weighted spaces of smooth functions
Andreas Debrouwere, Quinten Van Boxstael, Jasson Vindas
We study the surjectivity of the Cauchy-Riemann and Laplace operators on certain weighted spaces of smooth functions of rapid decay on strip-like domains in the complex plane that…