С. С. Волосивец
Abstract
We consider a new class of functions on the semiaxis for which the multiplicative Fourier transform can be defined. We prove equalities of Parseval type, an inversion formula and a condition for the validity of representation in the form of the multiplicative Fourier transform.
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We consider a new class of functions on the semiaxis for which the multiplicative Fourier transform can be defined. We prove equalities of Parseval type, an inversion formula and a condition for the validity of representation in the form of the multiplicative Fourier transform.
Key concepts: Parseval's theorem, Mathematics, Multiplicative function, Fourier transform, Fourier inversion theorem, Generalization, Fourier transform on finite groups, Fourier analysis