Abstract
LetD′+ be the space of Schwartz distributions with support on the closed positive half-line [0, +∞). We give a generalization of the Paley-Wiener theorem to the case of the distributions inD′+.
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Literature Cited
K. Yosida,Functional Analysis, Springer, Berlin (1965).
O. V. Lopushansky and S. V. Sharin, “Operator calculus for convolution algebra of Schwartz distributions on semiaxis,”Prats. L'viv. Mat. Tov. Mat. Stud.,7, No. 1, 61–72 (1997).
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Translated fromMatematichni Metodi ta Fiziko-Mekhanichni Polya, Vol. 40, No. 4, 1997, pp. 54–57.
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Sharin, S.V. The Paley-Wiener theorem for Schwartz distributions with support on a half-line. J Math Sci 96, 2985–2987 (1999). https://doi.org/10.1007/BF02169692
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DOI: https://doi.org/10.1007/BF02169692