Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2019, Number 2, Pages 46–49 (Mi vmumm614)  
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Permutability of cosine and sine Fourier transforms

A. V. Pavlov

MIREA — Russian Technological University, Moscow
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Abstract: It is proved that the cosine and sine Fourier transforms are permutable with the opposite sign on the positive real axis. This property implies that the cosine and sine Fourier transforms coincide in absolute value on the semiaxis for a wide class of functions.
Key words: Fourier transform, permutability cosine and sine Fourier transforms, coincidence of cosine and sine Fourier transforms.
Received: 04.05.2018
English version:
Moscow University Mathematics Bulletin, 2019, Volume 74, Issue 2, Pages 75–78
DOI: https://doi.org/10.3103/S0027132219020074
Bibliographic databases:
Document Type: Article
UDC: 517.442
Language: Russian
Citation: A. V. Pavlov, “Permutability of cosine and sine Fourier transforms”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2019, no. 2, 46–49; Moscow University Mathematics Bulletin, 74:2 (2019), 75–78
Citation in format AMSBIB
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