Wilson Bases and Ultradistributions [PDF]
Axioms, 2021 We provide a characterization of the Gelfand–Shilov-type spaces of test functions and their dual spaces of tempered ultradistributions by means of Wilson bases of exponential decay.
Nenad Teofanov
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Characterization of Wave Fronts of Ultradistributions Using Directional Short-Time Fourier Transform
Axioms, 2021 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.
Sanja Atanasova +2 more
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Cauchy and Poisson Integral of the Convolutor in Beurling Ultradistributions of Lp-Growth
International Journal of Mathematics and Mathematical Sciences, 2014 Let C be a regular cone in ℝ and let TC=ℝ+iC⊂ℂ be a tubular radial domain. Let U be the convolutor in Beurling ultradistributions of Lp-growth corresponding to TC.
Byung Keun Sohn
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Convolution of ultradistributions and ultradistribution spaces associated to translation-invariant Banach spaces [PDF]
Kyoto Journal of Mathematics, 2016 38 ...
Pavel Dimovski +2 more
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Almost periodic generalized solutions of differential equations [PDF]
Mathematica Bohemica, 2021 The paper aims to study systems of linear ordinary differential equations in the context of an algebra of almost periodic generalized ultradistributions. Conditions on the existence of generalized solutions are given.
Chikh Bouzar, Fethia Ouikene
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Boundary Values in Ultradistribution Spaces Related to Extended Gevrey Regularity
Mathematics, 2020 Following the well-known theory of Beurling and Roumieu ultradistributions, we investigate new spaces of ultradistributions as dual spaces of test functions which correspond to associated functions of logarithmic-type growth at infinity.
Stevan Pilipović +2 more
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Evolution pseudodifferential equations with analytic symbols in spaces of $S$ type
Karpatsʹkì Matematičnì Publìkacìï, 2021 A nonlocal multipoint by time problem for an evolution equation with a pseudodifferential operator is studied. This operator is treated as an infinite order differentiation operator in generalized spaces of $S$ type. We consider the case when the initial
V.V. Horodets'kyi, O.V. Martynyuk
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Structural theorems for quasiasymptotics of ultradistributions [PDF]
Asymptotic Analysis, 2019 We provide complete structural theorems for the so-called quasiasymptotic behavior of non-quasianalytic ultradistributions. As an application of these results, we obtain descriptions of quasiasymptotic properties of regularizations at the origin of ultradistributions and discuss connections with Gelfand–Shilov type spaces.
Lenny Neyt, Jasson Vindas
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Asymptotically Almost Periodic Generalized Ultradistributions and Application [PDF]
Sahand Communications in Mathematical AnalysisThe paper aims to introduce and study an algebra of asymptotically almost periodic generalized ultradistributions. These generalized ultradistributions contain asymptotically almost periodic ultradistributions and asymptotically almost periodic ...
Meryem Slimani, Fethia Ouikene
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Analytic ultradistributions [PDF]
Proceedings of the American Mathematical Society, 1995 A necessary and sufficient condition that an ultradistribution, of Beurling or Roumieu type, which is defined on an open set Ω
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