33 citations · 558 across the 95 of their papers we have counts for
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Convolution of ultradistributions and ultradistribution spaces associated to translation-invariant Banach spaces
Pavel Dimovski, Stevan Pilipovic, Bojan Prangoski +1
We introduce and study a number of new spaces of ultradifferentiable functions and ultradistributions and we apply our results to the study of the convolution of ultradistributions…
Boundary values of holomorphic functions and heat kernel method in translation-invariant distribution spaces
Pavel Dimovski, Stevan Pilipovic, Jasson Vindas
We study boundary values of holomorphic functions in translation-invariant distribution spaces of type . New edge of the wedge theorems are obtained. The…
A generalization of the Banach-Steinhaus theorem for finite part limits
Ricardo Estrada, Jasson Vindas
It is well known, as follows from the Banach-Steinhaus theorem, that if a sequence of linear continuous functionals in a Fréchet space converg…
Multiresolution expansions of distributions: Pointwise convergence and quasiasymptotic behavior
Sanja Kostadinova, Jasson Vindas
In several variables, we prove the pointwise convergence of multiresolution expansions to the distributional point values of tempered distributions and distributions of superexpone…
Wave fronts via Fourier series coefficients
Snjezana Maksimovic, Stevan Pilipovic, Petar Sokoloski +1
Motivated by the product of periodic distributions, we give a new description of the wave front and the Sobolev-type wave front of a distribution i…
The wavelet transforms in Gelfand-Shilov spaces
Stevan Pilipovic, Dusan Rakic, Nenad Teofanov +1
We describe local and global properties of wavelet transforms of ultradifferentiable functions. The results are given in the form of continuity properties of the wavelet transform…
The ridgelet transform and quasiasymptotic behavior of distributions
Sanja Kostadinova, Stevan Pilipovic, Katerina Saneva +1
We characterize the quasiasymptotic behavior of distributions in terms of a Tauberian theorem for ridgelet transforms.