18 citations · 115 across the 44 of their papers we have counts for
5 papers · 2 filters
Generalized function algebras containing spaces of periodic ultradistributions
Andreas Debrouwere
We construct differential algebras in which spaces of (one-dimensional) periodic ultradistributions are embedded. By proving a Schwartz impossibility type result, we show that our…
A projective description of generalized Gelfand-Shilov spaces of Roumieu type
Andreas Debrouwere, Jasson Vindas
We provide a projective description for a class of generalized Gelfand-Shilov spaces of Roumieu type. In particular, our results apply to the classical Gelfand-Shilov spaces and we…
On weighted inductive limits of spaces of ultradifferentiable functions and their duals
Andreas Debrouwere, Jasson Vindas
In the first part of this paper we discuss the completeness of two general classes of weighted inductive limits of spaces of ultradifferentiable functions. In the second part we st…
Sheaves of nonlinear generalized function spaces
Eduard A. Nigsch, Andreas Debrouwere
We provide a framework for the construction of diffeomorphism invariant sheaves of nonlinear generalized functions spaces. As an application, global algebras of generalized functio…
A non-linear theory of infrahyperfunctions
Andreas Debrouwere, Hans Vernaeve, Jasson Vindas
We develop a nonlinear theory for infrahyperfunctions (also referred to as quasianalytic (ultra)distributions by L. Hörmander). In the hyperfunction case our work can be summarized…