Paley-Wiener-type theorem for polynomial ultradifferentiable functions

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.

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How to Cite
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Sharyn S. Paley-Wiener-Type Theorem for Polynomial Ultradifferentiable Functions. Carpathian Math. Publ. 2015, 7 (2), 271-279.