University of Novi Sad

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20022026

most citedVariational Problems with Fractional Derivatives: Euler-Lagrange Equations

166 citations

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58 papers · 1 filter

math.FA2025

On the continuity of the product of distributions in local Sobolev spaces

Stefan Tutić

We consider the space $H_{L}^{s, r} (O)$ consisting of all local Sobolev distributions of order $s$ on an open set $O$ whose Sobolev wave front set of order $r$ is containe…

math.FA2025

Gelfand-Shilov spaces for extended Gevrey regularity

Nenad Teofanov, Filip Tomic, Milica Zigic

We consider spaces of smooth functions obtained by relaxing Gevrey-type regularity and decay conditions. It is shown that these classes fit well within the general framework of the…

math.FA2024

Topology and regularity for generalized ultradistribution algebras

Stevan Pilipovic, Dragana Risteski, Dimitris Scarpalezos +1

Compiling essential results for non-quasianalytic ultradistribution spaces and Colombeau versions of generalized ultradistribution algebras, we analyze strong $B$ - and strong $R$ -a…

math.FA2024

Extension of Localisation Operators to Ultradistributional Symbols With Super-Exponential Growth

Stevan Pilipović, Bojan Prangoski, Đorđe Vučković

In the Gelfand-Shilov setting, the localisation operator $A_{a}^{φ_{1}, φ_{2}}$ is equal to the Weyl operator whose symbol is the convolution of $a$ with the Wigner transform of the windo…

math.FA2023★ 1 cited

Invertibility of matrix type operators of infinite order with exponential off-diagonal decay

Stevan Pilipovic, Bojan Prangoski, Milica Zigic

We analyse various exponential off-diagonal decay rates of the elements of infinite matrices and their inverses. It is known that such decay of the elements of an infinite matrix d…

math.FA2023

Generalized exponentially bounded integrated semigroups

Marko Kostic, Stevan Pilipovic, Milica Zigic

The main subject of this paper is the analysis of sequences of exponentially bounded integrated semigroups which are related to Cauchy problems \begin{equation}\label{jed} \frac{\p…

math.FA2022

Besov regularity in non-linear generalized functions

Stevan Pilipović, Dimitris Scarpalézos, Jasson Vindas

We introduce and study new modules and spaces of generalized functions that are related to the classical Besov spaces. Various Schwartz distribution spaces are naturally embedded i…

math.FA2022

Completion problem of upper triangular $3 \times 3$ operator matrices on arbitrary Banach spaces

Nikola Sarajlija, Dragan S. Djordjević

We solve the completion problem of $3 \times 3$ upper triangular operator matrix acting on a direct sum of Banach spaces and hence generalize the famous result of Han, Lee, Lee (Proc…

math.FA2021★ 1 cited

Invertibility properties of operator matrices on Hilbert spaces

Nikola Sarajlija

Denote by $T_{n}^{d} (A)$ an upper triangular operator matrix of dimension $n$ whose diagonal entries are given and the others are unknown. In this article we provide necessary and suff…

math.FA2021★ 1 cited

Upper triangular operator matrices and stability of their various spectra

Nikola Sarajlija

Denote by $T_{n}^{d} (A)$ an upper triangular operator matrix of dimension $n$ whose diagonal entries $D_{i}$ are known, where $A = (A_{ij})_{1 \leq i < j \leq n}$ is an unknown tuple of operat…

math.FA2021

Intersections of various spectra of operator matrices

Nikola Sarajlija

This paper is concerned with general $n \times n$ upper triangular operator matrices with given diagonal entries. We characterize perturbations of the left (right) essential spectru…

math.FA2021★ 2 cited

Fredholmness and Weylness of block operator matrices

Nikola Sarajlija

This paper has aim to characterize Fredholmness and Weylness of upper triangular operator matrices having arbitrary dimension n. We present various characterization results in the…

math.FA2021★ 2 cited

Perturbing the spectrum of operator $T_{n}^{d} (A)$

Nikola Sarajlija

Let $T_{n}^{d} (A)$ denote a partial upper triangular operator matrix whose diagonal entries are given and the others unknown. In this article we have aim to find characterizations of (…

math.FA2021★ 5 cited

Continuous frames in tensor product Hilbert spaces, localization operators and density operators

Peter Balazs, Nenad Teofanov

Continuous frames and tensor products are important topics in theoretical physics. This paper combines those concepts. We derive fundamental properties of continuous frames for ten…

math.FA2020★ 5 cited

Modulation spaces associated to tensor products of amalgam spaces

Hans G. Feichtinger, Stevan Pilipović, Bojan Prangoski

We identify the modulation spaces associated to tensor products of amalgam spaces having a large class of Banach spaces as their local component. As consequences of the main result…

math.FA2020★ 2 cited

$c$ -Almost periodic type functions and applications

M. T. Khalladi, M. Kostić, M. Pinto +2

In this paper, we introduce several various classes of $c$ -almost periodic type functions and their Stepanov generalizations, where $c \in C$ and $∣ c ∣ = 1.$ We also consider…

math.FA2019★ 1 cited

Multiresolution expansions and wavelets in Gelfand-Shilov spaces

Stevan Pilipović, Dušan Rakić, Nenad Teofanov +1

We study approximation properties generated by highly regular scaling functions and orthonormal wavelets. These properties are conveniently described in the framework of Gelfand-Sh…

math.FA2019★ 3 cited

Reiterative distributional chaos on Banach spaces

Antonio Bonilla, Marko Kostić

If we change the upper and lower density in the definition of distributional chaos of a continuous linear operator on Banach space by the Banach upper and Banach lower density, res…

math.FA2018

Doss almost periodic functions, Besicovitch-Doss almost periodic functions and convolution products

Marko Kostic

In the paper under review, we analyze the invariance of Doss almost periodicity and Besicovitch-Doss almost periodicity under the actions of convolution products. We thus continue…

math.FA2018

An Efficient Abstract Method For The Study of An Initial Boundary Value Problem On Singular Domain

Belkacem Chaouchi, Marko Kostic

The present work is devoted to the study of a boundary value problem for second order linear differential equation set on singular cylindrical domain. This problem can be regarded…

math.FA2018★ 2 cited

The existence and uniqueness of almost periodic and asymptotically almost periodic solutions of semilinear Cauchy inclusions

Marko Kostic

The main aim of this paper is to investigate almost periodicity and asymptotic almost periodicity of abstract semilinear Cauchy inclusions of first order with (asymptotically) Step…

math.FA2018

Vector-valued almost automorphic distributions and vector-valued almost automorphic ultradistributions

Marko Kosti\' c, Daniel Velinov

In this paper, we introduce the notions of a vector-valued almost automorphic distribution and a vector-valued almost automorphic ultradistribution, working in the framework of com…

math.FA2018★ 3 cited

Vector valued Hardy spaces related to analytic functions having distributional boundary values

Richard D. Carmichael, Stevan Pilipović, Jasson Vindas

The Hardy space $H^{p}$ of vector valued analytic functions in tube domains in $C^{n}$ and with values in Banach space are defined. Vector valued analytic functions in tub…

math.FA2018★ 8 cited

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 $M_{φ}^{f} (x, y) = (f * φ_{y}) (x)$ ,…

On the continuity of the product of distributions in local Sobolev spaces

Gelfand-Shilov spaces for extended Gevrey regularity

Topology and regularity for generalized ultradistribution algebras

Extension of Localisation Operators to Ultradistributional Symbols With Super-Exponential Growth

Invertibility of matrix type operators of infinite order with exponential off-diagonal decay

Generalized exponentially bounded integrated semigroups

Besov regularity in non-linear generalized functions

Completion problem of upper triangular 3×3 operator matrices on arbitrary Banach spaces

Invertibility properties of operator matrices on Hilbert spaces

Upper triangular operator matrices and stability of their various spectra

Intersections of various spectra of operator matrices

Fredholmness and Weylness of block operator matrices

Perturbing the spectrum of operator Tnd​(A)

Continuous frames in tensor product Hilbert spaces, localization operators and density operators

Modulation spaces associated to tensor products of amalgam spaces

c-Almost periodic type functions and applications

Multiresolution expansions and wavelets in Gelfand-Shilov spaces

Reiterative distributional chaos on Banach spaces

Doss almost periodic functions, Besicovitch-Doss almost periodic functions and convolution products

An Efficient Abstract Method For The Study of An Initial Boundary Value Problem On Singular Domain

The existence and uniqueness of almost periodic and asymptotically almost periodic solutions of semilinear Cauchy inclusions

Vector-valued almost automorphic distributions and vector-valued almost automorphic ultradistributions

Vector valued Hardy spaces related to analytic functions having distributional boundary values

Tauberian class estimates for vector-valued distributions

Completion problem of upper triangular $3 \times 3$ operator matrices on arbitrary Banach spaces

Perturbing the spectrum of operator $T_{n}^{d} (A)$

$c$ -Almost periodic type functions and applications