33 citations · 558 across the 95 of their papers we have counts for
13 papers · 1 filter
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…
Generalization of the Wiener-Ikehara theorem
Gregory Debruyne, Jasson Vindas
We study the Wiener-Ikehara theorem under the so-called log-linearly slowly decreasing condition. Moreover, we clarify the connection between two different hypotheses on the Laplac…
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…
On the radial derivative of the delta distribution
Fred Brackx, Frank Sommen, Jasson Vindas
Possibilities for defining the radial derivative of the delta distribution in the setting of spherical coordinates are explored. This leads to the introduction o…
Estimates for Beurling numbers
Gregory Debruyne, Harold G. Diamond, Jasson Vindas
In classical prime number theory there are several asymptotic formulas said to be "equivalent" to the PNT. One is the bound for the sum function of the Moebius functi…