Geodesic
Generalization of the Multiplicative Fourier Transform and Its Properties
Matematičeskie zametki, Tome 89 (2011) no. 3, pp. 323-330.

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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.
Mots-clés : multiplicative Fourier transform
Keywords: Parseval equality, Dirichlet kernel, Fubini's theorem, Riesz–Torin theorem, dominated convergence. 
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     title = {Generalization of the {Multiplicative} {Fourier} {Transform} and {Its} {Properties}},
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S. S. Volosivets. Generalization of the Multiplicative Fourier Transform and Its Properties. Matematičeskie zametki, Tome 89 (2011) no. 3, pp. 323-330. http://geodesic.mathdoc.fr/item/MZM_2011_89_3_a0/

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