9 papers
Convolution and product in finitely generated shift-invariant spaces
Aleksandar Aksentijević, Suzana Aleksić, Stevan Pilipović
We discuss some structural properties of finitely generated shift-invariant (FGSI) spaces and subspaces of Sobolev spaces, particularly those related to convolution and the product…
Abelian and Tauberian Results for the Fractional Hankel Transform of Generalized Functions
Sanja Atanasova, Smiljana Jakšić, Snježana Maksimović +1
This paper aims to explore the quasiasymptotic behavior of distributions through the fractional Hankel transform. We present Tauberian result that connects the asymptotic behavior…
Spaces of distributions with Sobolev wave front in a fixed conic set: compactness, pullback by smooth maps and the compensated compactness theorem
Stevan Pilipović, Bojan Prangoski
We consider the space of distributional sections of the smooth complex vector bundle whose Sobolev wave front set of order …
Ultradistributions on . Solvability and hypoellipticity through series expansions of ultradistributions
Stevan Pilipović, Đorđe Vučković
In the first part we analyze space and its dual through Laguerre expansions when these spaces correspond to a general sequence $\{M_p\}_{p\in\mathbb…
Ultradifferentiable functions via the Laguerre operator
Smiljana Jakšić, Stevan Pilipović, Nenad Teofanov +1
We define and characterize ultradifferentiable functions and their corresponding ultradistributions on $\RR^d_+$ using iterates of the Laguerre operator. The characterization is ba…
On the iterates of the Laguerre operator
Smiljana Jakšić, Stevan Pilipović, Nenad Teofanov +1
We use the iterates of the Laguerre operator to introduce Pilipović spaces on positive orthants. It is shown that such spaces coincide with type spaces …