Papers by Stevan Pilipović
arXiv (Cornell University), 2016
The main subject in this paper are degenerate $C$-ultradistribution semigroups in barreled sequen... more The main subject in this paper are degenerate $C$-ultradistribution semigroups in barreled sequentially complete locally convex spaces. Here, the regularizing operator $C$ is not necessarily injective and the infinitesimal generator is multivalued linear operator. We also consider exponential degenerate $C$-ultradistribution semigroups.
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arXiv (Cornell University), May 6, 2020
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Applied and numerical harmonic analysis, 2020
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Publicationes Mathematicae Debrecen
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Publicationes Mathematicae Debrecen
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Landscapes of Time-Frequency Analysis, 2020
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Monatshefte für Mathematik, 2017
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arXiv: Functional Analysis, 2018
In this paper, we continue our previous research studies of exponential ultradistribution semigro... more In this paper, we continue our previous research studies of exponential ultradistribution semigroups in Banach spaces. The existence and uniqueness of analytical solutions of abstract fractional relaxation equations associated with the generators of exponential ultradistribution semigroups have been considered. Some other results are also proved.
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Axioms, 2021
In this paper we give a characterization of Sobolev k-directional wave front of order p∈[1,∞) of ... more In this paper we give a characterization of Sobolev k-directional wave front of order p∈[1,∞) of tempered ultradistributions via the directional short-time Fourier transform.
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Filomat, 2017
The main purpose of this paper is to investigate degenerate C-(ultra)distribution cosine function... more The main purpose of this paper is to investigate degenerate C-(ultra)distribution cosine functions in the setting of barreled sequentially complete locally convex spaces. In our approach, the infinitesimal generator of a degenerate C-(ultra)distribution cosine function is a multivalued linear operator and the regularizing operator C is not necessarily injective. We provide a few important theoretical novelties, considering also exponential subclasses of degenerate C-(ultra)distribution cosine functions.
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Publications de l'Institut Math?matique (Belgrade), 2016
We introduce and investigate two types of the space U* of s-ultradistributions meant as equivalen... more We introduce and investigate two types of the space U* of s-ultradistributions meant as equivalence classes of suitably defined fundamental sequences of smooth functions; we prove the existence of an isomorphism between U* and the respective space D?* of ultradistributions: of Beurling type if * = (p!t) and of Roumieu type if * = {p!t}. We also study the spaces T * and ?T * of t-ultradistributions and ?t-ultradistributions, respectively, and show that these spaces are isomorphic with the space S?* of tempered ultradistributions both in the Beurling and the Roumieu case.
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Journal of Mathematical Analysis and Applications, 2007
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Rocky Mountain Journal of Mathematics, 2015
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Bulletin Classe des sciences mathematiques et natturalles
A b s t r a c t. In this paper we study frame representations in projective and inductive limits ... more A b s t r a c t. In this paper we study frame representations in projective and inductive limits of Banach spaces. We introduce the notion of a Fréchet pre-frame for a given Fréchet space with respect to a Fréchet sequence space. Main results of the paper include the use of density arguments and representations in the case of projective limits of isomorphic reflexive Banach spaces. Examples based on modulation spaces, Sobolev type spaces and Köthe type spaces are given.
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Siberian Mathematical Journal, 2015
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Publications de l'Institut Math?matique (Belgrade), 2015
Motivated by the product of periodic distributions, we give a new description of the wave front a... more 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 f ? D?(Rd) in terms of Fourier series coefficients.
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Papers by Stevan Pilipović