8 citations · 9 across the 12 of their papers we have counts for
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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…
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 …
On the product of periodic distributions. Product in shift-invariant spaces
Aleksandar Aksentijević, Suzana Aleksić, Stevan Pilipović
We connect through the Fourier transform shift-invariant Sobolev type spaces , and the spaces of periodic distributions and analyze the properties…
Almost diagonalization of DO's over various generalized function spaces
Stevan Pilipović, Nenad Teofanov, Filip Tomić
Inductive and projective type sequence spaces of sub- and super-exponential growth, and the corresponding inductive and projective limits of modulation spaces are considered as a f…
Stationary dense operators in sequentially complete locally convex spaces
Marko Kostić, Stevan Pilipović, Daniel Velinov
The purpose of this paper is to investigate the stationary dense operators and their connection to distribution semigroups and abstract Cauchy problem in sequentially complete spac…
Tauberian class estimates for vector-valued distributions
Stevan Pilipović, Jasson Vindas
We study Tauberian properties of regularizing transforms of vector-valued tempered distributions, that is, transforms of the form ,…