Complementary Spaces and Multipliers of Double Fourier Series for Functions of Bounded Variation |
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Authors: | S. Baron, E. Liflyand,U. Stadtmü ller |
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Affiliation: | a Department of Mathematics and Computer Sciences, Bar-Ilan University, Ramat-Gan, 52900, Israel;Department of Mathematics, University of Ulm, 89069, Ulm, Germanyf1 |
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Abstract: | Complementary spaces for Fourier series were introduced by G. Goes and generalized by M. Tynnov. In this paper we investigate a notion of complementary space for double Fourier series of functions of bounded variation. Various applications are given. |
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Keywords: | double Fourier series bounded variation complementary space summability multiplier |
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