33 citations · 558 across the 95 of their papers we have counts for
7 papers · 1 filter
Eigenfunction expansions of ultradifferentiable functions and ultradistributions in
Đorđe Vučković, Jasson Vindas
We obtain a characterization of and , the general Gelfand-Shilov spaces of ultradiffere…
Discrete characterizations of wave front sets of Fourier-Lebesgue and quasianalytic type
Andreas Debrouwere, Jasson Vindas
We obtain discrete characterizations of wave front sets of Fourier-Lebesgue and quasianalytic type. It is shown that the microlocal properties of an ultradistribution can be obtain…
Gabor frames and asymptotic behavior of Schwartz distributions
Sanja Kostadinova, Katerina Saneva, Jasson Vindas
We obtain characterizations of asymptotic properties of Schwartz distribution by using Gabor frames. Our characterizations are indeed Tauberian theorems for shift asymptotics (S-as…
On quasianalytic classes of Gelfand-Shilov type. Parametrix and convolution
Stevan Pilipovic, Bojan Prangoski, Jasson Vindas
We develop a convolution theory for quasianalytic ultradistributions of Gelfand-Shilov type. We also construct a special class of ultrapolynomials, and use it as a base for the par…
An elementary approach to asymptotic behavior in the Cesàro sense and applications to the Laplace and Stieltjes transforms
Dennis Nemzer, Jasson Vindas
We present a elementary approach to asymptotic behavior of generalized functions in the Cesàro sense. Our approach is based on Yosida's subspace of Mikusiński operators. Applicatio…
Some examples in the theory of Beurling's generalized prime numbers
Gregory Debruyne, Jan-Christoph Schlage-Puchta, Jasson Vindas
Several examples of generalized number systems are constructed to compare various conditions occurring in the literature for the prime number theorem in the context of Beurling gen…