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. 
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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