33 citations · 558 across the 95 of their papers we have counts for
8 papers · 1 filter
Infinite order DOs: Composition with entire functions, new Shubin-Sobolev spaces, and index theorem
Stevan Pilipović, Bojan Prangoski, Jasson Vindas
We study global regularity and spectral properties of power series of the Weyl quantisation , where is a classical elliptic Shubin polynomial. For a suitable entire…
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;…
Optimal Tauberian constant in Ingham's theorem for Laplace transforms
Gregory Debruyne, Jasson Vindas
It is well known that there is an absolute constant such that if the Laplace transform of a bounded function …
On Diamond's criterion for asymptotic density of Beurling generalized integers
Gregory Debruyne, Jasson Vindas
We give a short proof of the criterion for Beurling generalized integers to have a positive asymptotic density. We actually prove the existence of density under a weaker hy…