Results 11 to 20 of about 987 (103)
Beurling ultradistributions of Lp-growth
Journal of Mathematical Analysis and Applications, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Betancor, J.J. +2 more
wiley +3 more sources
Compatibility Conditions and the Convolution of Functions and Generalized Functions
Journal of Function Spaces, Volume 2013, Issue 1, 2013., 2013 The paper is a review of certain existence theorems concerning the convolution of functions, distributions, and ultradistributions of Beurling type with supports satisfying suitable compatibility conditions. The fact that some conditions are essential for the existence of the convolution in the discussed spaces follows from earlier results and the ...
Andrzej Kamiński +2 more
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Unified Treatment of the Krätzel Transformation for Generalized Functions
Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013 We discuss a generalization of the Krätzel transforms on certain spaces of ultradistributions. We have proved that the Krätzel transform of an ultradifferentiable function is an ultradifferentiable function and satisfies its Parseval′s inequality. We also provide a complete reading of the transform constructing two desired spaces of Boehmians.
S. K. Q. Al-Omari +2 more
wiley +2 more sources
The neutrix convolution product in Z′(m) and the exchange formula
International Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 4, Page 695-700, 1998., 1997 One of the problems in distribution theory is the lack of definition for convolutions and products of distribution in general. In quantum theory and physics (see e.g. [1] and [2]), one finds that some convolutions and products such as are in use. In [3], a definition for product of distributions and some results of products are given using a specific ...
C. K. Li, E. L. Koh
wiley +2 more sources
On the nature of the Tsallis-Fourier Transform
Mathematics, 2015 By recourse to tempered ultradistributions, we show here that the effect of a q-Fourier transform (qFT) is to map {\it equivalence classes} of functions into other classes in a one-to-one fashion.
Plastino, A., Rocca, M. C.
core +4 more sources
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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Projective descriptions of spaces of functions and distributions
Mathematische Nachrichten, Volume 296, Issue 3, Page 915-937, March 2023., 2023 Abstract We present projective descriptions of classical spaces of functions and distributions. More precisely, we provide descriptions of these spaces by seminorms, which are defined by a combination of classical norms and multiplication or convolution with certain functions.
Christian Bargetz +2 more
wiley +1 more source
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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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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