Geodesic
Permutability of cosine and sine Fourier transforms
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2019), pp. 46-49

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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. 
@article{VMUMM_2019_2_a8,
     author = {A. V. Pavlov},
     title = {Permutability of cosine and sine {Fourier} transforms},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {46--49},
     publisher = {mathdoc},
     number = {2},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2019_2_a8/}
}
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A. V. Pavlov. Permutability of cosine and sine Fourier transforms. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2019), pp. 46-49. http://geodesic.mathdoc.fr/item/VMUMM_2019_2_a8/