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DOE OSTI · 21418079

Recovering a function from its trigonometric integral

Sworowska, Tat'yana A
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Abstract

The approximate symmetric Henstock-Kurzweil integral is shown as solving the problem of the recovery of a function from its trigonometric integral. This being so, we generalize Offord's theorem, which is an analogue of de la Vallee Poussin's theorem for trigonometric series. A new condition for a function to be representable by a singular Fourier integral is also obtained. Bibliography: 10 titles.

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97 MATHEMATICS AND COMPUTINGAPPROXIMATIONSBIBLIOGRAPHIESCALCULATION METHODSDOCUMENT TYPESFUNCTIONSINTEGRALSSYMMETRY

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Sworowska, Tat'yana A. 2010-09-02. Recovering a function from its trigonometric integral. https://doi.org/10.1070/sm2010v201n07abeh004102

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