Regularity of the Transform of Laplace and the Transfom of Fourier

Андрей Валерианович Павлов · Mathematical Physics and Computer Simulation · 2021

Regularity of the transform of Laplace in the opened area of 0 is proved with help of some methods of the transform of Fourier. The class of the transform of Laplace from the transform of Fourier is considered from some functions without a regularity in null. The functions are regular in the opened area of 0. It is proved, that the sine transform of Fourier from the cosine transform of Fourier is equal to the cosine transform from the sine transform of Fourier on the module.

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