Geodesic
Necessary and sufficient conditions of belonging to the Besov–Potapov classes and Fourier coefficients with respect to multiplicative systems
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 12 (2012) no. 4, pp. 41-48 
R. N. Fadeev. Necessary and sufficient conditions of belonging to the Besov–Potapov classes and Fourier coefficients with respect to multiplicative systems. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 12 (2012) no. 4, pp. 41-48. http://geodesic.mathdoc.fr/item/ISU_2012_12_4_a7/
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Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper we obtain necessary and sufficient conditions for a function to belong to the Besov–Potapov classes. Using functions with Fourier coefficients with respect to multiplicative systems from the class GM, we show the sharpness of some these results.

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