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Complementary Spaces and Multipliers of Double Fourier Series for Functions of Bounded Variation
Authors:S. Baron, E. Liflyand,U. Stadtmü  ller
Affiliation:a Department of Mathematics and Computer Sciences, Bar-Ilan University, Ramat-Gan, 52900, Israel;Department of Mathematics, University of Ulm, 89069, Ulm, Germanyf1
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.
Keywords:double Fourier series   bounded variation   complementary space   summability   multiplier
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