A Mixed Parseval-Plancherel Formula
Classical Analysis and ODEs
2017-01-09 v2
Abstract
In this note, a general formula is proved. It expresses the integral on the line of the product of a function and a periodic function in terms of the Fourier transform of and the Fourier coefficients of . This allows the evaluation of some oscillatory integrals.
Cite
@article{arxiv.1312.0464,
title = {A Mixed Parseval-Plancherel Formula},
author = {Omran Kouba},
journal= {arXiv preprint arXiv:1312.0464},
year = {2017}
}