For a trigonometric series
defined on [−π, π)m, where V is a certain polyhedron in R m, we prove that
if the coefficients a k satisfy the following Sidon-Telyakovskii-type conditions:
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 60, No. 5, pp. 579–585, May, 2008.
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Zaderei, P.V., Pelagenko, E.N. & Ivashchuk, O.V. On Sidon-Telyakovskii-type conditions for the integrability of multiple trigonometric series. Ukr Math J 60, 663–670 (2008). https://doi.org/10.1007/s11253-008-0094-8
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DOI: https://doi.org/10.1007/s11253-008-0094-8