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Karpatsʹkì Matematičnì Publìkacìï
Article . 2015 . Peer-reviewed
License: Elsevier TDM
Data sources: Crossref
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Karpatsʹkì Matematičnì Publìkacìï
Article
License: CC BY NC ND
Data sources: UnpayWall
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Paley-Wiener-type theorem for polynomial ultradifferentiable functions

Authors: S.V. Sharyn;

Paley-Wiener-type theorem for polynomial ultradifferentiable functions

Abstract

The image of the space of ultradifferentiable functions with compact supports under Fourier-Laplace transformation is described. An analogue of Paley-Wiener theorem for polynomial ultradifferentiable functions is proved.

Keywords

polynomial test function, ультрадиференційовна функція, ультрарозподіл, поліноміальна основна функція, теорема типу Пелі-Вінера, QA1-939, paley-wiener-type theorem, ultradifferentiable function, ultradistribution, Mathematics, ultradifferentiable function, ultradistribution, polynomial test function, Paley-Wiener-type theorem

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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