1 citations · 1 across the 3 of their papers we have counts for
11 papers
Some results about spaceability in function spaces
Andreas Debrouwere
We investigate two problems concerning spaceability in function spaces. First, we study the spaceability of sets of nowhere regular periodic functions, for various notions of regul…
Quasinormability and property for spaces of smooth and ultradifferentiable vectors associated with Lie group representations
Andreas Debrouwere, Michiel Huttener, Jasson Vindas
We prove that the spaces of smooth and ultradifferentiable vectors associated with a representation of a real Lie group on a Fréchet space are quasinormable if is so. A si…
Riesz summability of Dirichlet series generating holomorphic functions of finite order
Andreas Debrouwere, Yarne Tranoy
Given a frequency , we study the Riesz summability of -Dirichlet series generating holomorphic functions of finite order. We present a n…
Strong factorization theorem for smooth vectors of exponential solvable Lie group representations
Santiago Chaves, Andreas Debrouwere, Alberto Hernández Alvarado +2
We establish new strong factorization properties for the smooth vectors of representations of exponential solvable Lie groups on Fréchet spaces. In particular, our results improve…
Strong factorization of ultradifferentiable vectors associated with compact Lie group representations
Andreas Debrouwere, Michiel Huttener, Jasson Vindas
We show a strong factorization theorem of Dixmier-Malliavin type for ultradifferentiable vectors associated with compact Lie group representations on sequentially complete locally…
A PeÅczyÅski-Vogt decomposition result for (PLS)-spaces and sequence space representations
Andreas Debrouwere, Lenny Neyt
We establish a PelczyÅski-Vogt decomposition result for (PLS)-type power series spaces of infinite type. By combining this result with the theory of Gabor frames, we obtain sequen…