Mathematics and mechanics

Regularity of the transform of Laplace and the transfom of Fourier

A. V. Pavlov

MIREA — Russian Technological University, Moscow

Abstract: Regularity of the transform of Laplace in the opened area of 0 is proved with the 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.

Keywords: transform of Fourier, transform of Laplace, regularity of the double transform of Laplace, transposition of the sine and cosine transforms of Fourier.

UDC: 517.442
BBK: 511

Received: 15.07.2020

Language: English

DOI: 10.15688/mpcm.jvolsu.2020.4.2