Abstract
We consider necessary and sufficient condition of differentiability of the Fourier transform in the class of functions summable with a given weight.
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Literature cited
Sebastian-y-Silva, “On one important class of locally convex spaces,” Matematika,1, No. 1, 60–77 (1957).
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 159, pp. 121–127, 1987.
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Andreev, V.P., Solov'ev, V.A. Accuracy of some theorems on fourier series and fourier transforms. J Math Sci 47, 2909–2914 (1989). https://doi.org/10.1007/BF01305221
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DOI: https://doi.org/10.1007/BF01305221