18 citations · 31 across the 10 of their papers we have counts for
11 papers
An interpolation problem for extended Gevrey regularity
Jelena Dimitrić, Đorđe Vučković, Milica Žigić
We study an interpolation problem in extended Gevrey classes defined by the sequences , , , . We show that, under a suitable growth con…
Extending wavelet regularity beyond Gevrey classes
Filip Tomić, Stefan Tutić, Milica Žigić
We construct a smooth orthonormal wavelet such that both and its Fourier transform belong to the extended Gevrey class for , p…
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…
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 - and strong -a…
An introduction to extended Gevrey regularity
Nenad Teofanov, Filip Tomić, Milica Žigić
Gevrey classes are the most common choice when considering the regularities of smooth functions that are not analytic. However, in various situations, it is important to consider s…
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…
Stochastic evolution equations with Wick-polynomial nonlinearities
Tijana Levajkovic, Stevan Pilipovic, Dora Selesi +1
We study nonlinear parabolic stochastic partial differential equations with Wick-power and Wick-polynomial type nonlinearities set in the framework of white noise analysis. These e…
Stochastic evolution equations with multiplicative noise
Tijana Levajkovic, Stevan Pilipovic, Dora Selesi +1
We study parabolic stochastic partial differential equations (SPDEs), driven by two types of operators: one linear closed operator generating a semigroup and one linear bound…
Stochastic evolution equations with Wick-analytic nonlinearities
Tijana Levajkovic, Stevan Pilipovic, Dora Selesi +1
We study nonlinear stochastic partial differential equations with Wick-analytic type nonlinearities set in the framework of white noise analysis. These equations include the stocha…
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…
Suppleness of the sheaf of algebras of generalized functions on manifolds
Stevan Pilipovic, Milica Zigic
We show that the sheaves of algebras of generalized functions and , are open sets in a manifold , are supple, contrary to…