166 citations · 694 across the 58 of their papers we have counts for
6 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…
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.
Multidimensional Tauberian theorems for vector-valued distributions
Stevan Pilipovic, Jasson Vindas
We prove several Tauberian theorems for regularizing transforms of vector-valued distributions. The regularizing transform of is given by the integral transform $M^{f}_φ(x,y)=(…
Young type inequalities for weighted spaces
Joachim Toft, Karoline Johansson, Stevan Pilipovic +1
We establish sharp convolution and multiplication estimates in weighted Lebesgue, Fourier Lebesgue and modulation spaces. Especially we recover some known results.