33 citations · 558 across the 95 of their papers we have counts for
7 papers · 2 filters
Vector-valued Eidelheit sequences and the non B-completeness of tensor products
Andreas Debrouwere, Jasson Vindas
We introduce vector-valued Eidelheit sequences and obtain a characterization that generalizes Eidelheit's classical theorem (Studia Math. 6 (1936), 139-148). As an application, we…
Solution to the first Cousin problem for vector-valued quasianalytic functions
Andreas Debrouwere, Jasson Vindas
We study spaces of vector-valued quasianalytic functions and solve the first Cousin problem in these spaces.
Ultradistributional boundary values of harmonic functions on the sphere
Đorđe Vučković, Jasson Vindas
We present a theory of ultradistributional boundary values for harmonic functions defined on the Euclidean unit ball. We also give a characterization of ultradifferentiable functio…
General Stieltjes moment problems for rapidly decreasing smooth functions
Ricardo Estrada, Jasson Vindas
We give (necessary and sufficient) conditions over a sequence of functions under which every generalized Stieltjes moment problem \[ \int_{0…
On the non-triviality of certain spaces of analytic functions. Hyperfunctions and ultrahyperfunctions of fast growth
Andreas Debrouwere, Jasson Vindas
We study function spaces consisting of analytic functions with fast decay on horizontal strips of the complex plane with respect to a given weight function. Their duals, so called…
Rotation invariant ultradistributions
Đorđe Vučković, Jasson Vindas
We prove that an ultradistribution is rotation invariant if and only if it coincides with its spherical mean. For it, we study the problem of spherical representations of ultradist…
Optimal embeddings of ultradistributions into differential algebras
Andreas Debrouwere, Hans Vernaeve, Jasson Vindas
We construct embeddings of spaces of non-quasianalytic ultradistributions into differential algebras enjoying optimal properties in view of a Schwartz type impossibility result, al…