Authors : Andrey Valerianovich Pavlov
Abstract: It is proved in study, the transform of Laplace from the transform of Fourier do not have an complex part on the complex axis in different situations. For proof the decision of the Dirichlet problem in semi-plane was used. From the fact, we obtain for the wide class of function that it is possible to change by places a cosine and sine transform of Fourier on the positive axis and that the cosine and asine transform of Fourier are equal on the module.
Andrey Valerianovich Pavlov , 2019. The Cosine and Sine Transform of Fourier. Journal of Engineering and Applied Sciences, 14: 4838-4841.