Absolute convergence of Fourier series of a function of Wiener’s class
Siddiqi, Rafat N. (1979)
Portugaliae mathematica
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Siddiqi, Rafat N. (1979)
Portugaliae mathematica
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Z. Ciesielski (1966)
Studia Mathematica
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F. Móricz, K. Tandori (1985)
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Hsiang, Fu Cheng (1977)
Portugaliae mathematica
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Muharem Avdispahic, Medo Pepic (2000)
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Rajendra Sinha (1976)
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A. Stokolos (1988)
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I. Szalay (1988)
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Jun Tateoka (1994)
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C. Watari [12] obtained a simple characterization of Lipschitz classes on the dyadic group using the -modulus of continuity and the best approximation by Walsh polynomials. Onneweer and Weiyi [4] characterized homogeneous Besov spaces on locally compact Vilenkin groups, but there are still some gaps to be filled up. Our purpose is to give the characterization of Besov spaces by oscillations, atoms and others on the dyadic groups. As applications, we show a strong capacity inequality...
F. Móricz (1985)
Studia Mathematica
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