Paley-Wiener-type theorem for polynomial ultradifferentiable functions

S.V. Sharyn

doi:10.15330/cmp.7.2.271-279

Paley-Wiener-type theorem for polynomial ultradifferentiable functions

Authors

S.V. Sharyn Vasyl Stefanyk Precarpathian National University, 57 Shevchenka str., 76018, Ivano-Frankivsk, Ukraine https://orcid.org/0000-0003-2547-1442

https://doi.org/10.15330/cmp.7.2.271-279

Keywords:

ultradifferentiable function, ultradistribution, polynomial test function, Paley-Wiener-type theorem

Published online: 2015-12-15

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.