
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.
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
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
| 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). | 0 | |
| 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. | Average | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Average | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
