Андрей Валерианович Павлов
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.
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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.
Key concepts: Sine and cosine transforms, Fourier sine and cosine series, Mathematics, Sine, Trigonometric functions, Fourier transform, Mathematical analysis, Discrete cosine transform