33 citations · 558 across the 95 of their papers we have counts for
4 papers · 2 filters
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…
Translation-modulation invariant Banach spaces of ultradistributions
Pavel Dimovski, Stevan Pilipovic, Bojan Prangoski +1
We introduce and study a new class of translation-modulation invariant Banach spaces of ultradistributions. These spaces show stability under Fourier transform and tensor products;…
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…