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A theorem of Paley-Wiener type for ultradistributions

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Abstract

Using the Fourier-Laplace transformation of functionals, we give a description of the spaces dual to the spaces of rapidly decreasing infinitely differentiable functions on an unbounded closed convex set in ℝn.

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Correspondence to I. Kh. Musin.

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Original Russian Text © I. Kh. Musin, P. V. Fedotova, 2009, published in Matematicheskie Zametki, 2009, Vol. 85, No. 6, pp. 894–914.

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Musin, I.K., Fedotova, P.V. A theorem of Paley-Wiener type for ultradistributions. Math Notes 85, 848–867 (2009). https://doi.org/10.1134/S0001434609050265

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