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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References
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Original Russian Text © S. S. Volosivets, 2011, published in Matematicheskie Zametki, 2011, Vol. 89, No. 3, pp. 323–330.
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Volosivets, S.S. Generalization of the multiplicative Fourier transform and its properties. Math Notes 89, 311–318 (2011). https://doi.org/10.1134/S0001434611030011
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DOI: https://doi.org/10.1134/S0001434611030011