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Waterman classes and spherical partial sums of double Fourier series
Authors:M I Dyachenko
Abstract:Ocyscyncyocyvcyncyocyjcy rcyiecyzcyucylcysoftcytcyacytcy scy tcyacytcysoftcyicy scyocyscytcyocyicytcy vcy tcyocymcy chcytcy ocy dcylcyyacy lcyyucybcyocyjcy fcyucyncykcytscyicyicy dcyvcyucykhcy pcyiecyrcyiecymcyiecyncy ncyycykhcyf(x,y) isin Lambda0BV(T2), gcydcyiecy Lambdaocy={1/radicn} n=1 infin scyfcy iecyrcyicychcyiecyscykcyicyiecy chcyacyscytcyicychcyncyycyiecy scyucymcymcyycy iecyiecy rcyyacydcyacy Fcyucyrcysoftcyiecy rcyacyvcyncyocymcyiecy rcyncyocy ocygcyrcyacyncyicychcyiecyncyycy.

Dedicated to Professor Károly Tandori, the outstanding mathematician and academician on his seventieth birthday

This work was done under the financial support of the Russian Foundation for Fundamental Scientific Research, Grant 93-01-00240.
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