A Mixed Parseval-Plancherel Formula

Published 2 Dec 2013 in math.CA | (1312.0464v2)

Abstract: In this note, a general formula is proved. It expresses the integral on the line of the product of a function $f$ and a periodic function $g$ in terms of the Fourier transform of $f$ and the Fourier coefficients of $g$ . This allows the evaluation of some oscillatory integrals.

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Omran Kouba

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