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arXiv · 1312.0464

A Mixed Parseval-Plancherel Formula

Omran Kouba
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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. 2013-12-03. A Mixed Parseval-Plancherel Formula. https://doi.org/10.7153/jca-04-10

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