33 citations · 558 across the 95 of their papers we have counts for
9 papers · 1 filter
Local regularity in non-linear generalized functions
Stevan Pilipovic, Dimitris Scarpalezos, Jasson Vindas
In this review article we present regularity properties of generalized functions which are useful in the analysis of non-linear problems. It is shown that Schwartz distributions em…
The short-time Fourier transform of distributions of exponential type and Tauberian theorems for shift-asymptotics
Sanja Kostadinova, Stevan Pilipovic, Katerina Saneva +1
We study the short-time Fourier transform on the space of distributions of exponential type. We give characterizations of $\mathcal{K}_{1}'(\mathbb…
New distribution spaces associated to translation-invariant Banach spaces
Pavel Dimovski, Stevan Pilipovic, Jasson Vindas
We introduce and study new distribution spaces, the test function space and its strong dual . These spaces generalize the Schwartz spaces…
On Borel summability and analytic functionals
Ricardo Estrada, Jasson Vindas
We show that a formal power series has positive radius of convergence if and only if it is uniformly Borel summable over a circle with center at the origin. Consequently, we obtain…
The ridgelet transform of distributions
Sanja Kostadinova, Stevan Pilipovic, Katerina Saneva +1
We define and study the ridgelet transform of (Lizorkin) distributions. We establish connections with the Radon and wavelet transforms.
On the relation between Lebesgue summability and some other summation methods
Jasson Vindas
It is shown that if then Lebesgue summability, summability (), Abel summability, Riemann summability, and $(γ,κ)…