Geodesic
The weighted L1-integrability of functions and the Parseval equality with respect to multiplicative systems
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2012), pp. 15-26.

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In this paper we prove necessary and sufficient conditions for the weighted L1-integrability of functions defined on [0,1) in terms of Fourier coefficients with respect to a multiplicative system of bounded type. These results are counterparts of trigonometric ones by M. and S. Izumi and M. M. Robertson.
Mots-clés : multiplicative systems of bounded type, weighted L1-integrability, generalized monotonicity. 
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     title = {The weighted $L^1$-integrability of functions and the {Parseval} equality with respect to multiplicative systems},
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S. S. Volosivets. The weighted $L^1$-integrability of functions and the Parseval equality with respect to multiplicative systems. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2012), pp. 15-26. https://geodesic-test.mathdoc.fr/item/IVM_2012_8_a1/

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