Balayage by Fourier transforms with sparse frequencies in compact abelian groups
George S. Shapiro (1981)
Colloquium Mathematicae
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George S. Shapiro (1981)
Colloquium Mathematicae
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J. Florek (1987)
Colloquium Mathematicae
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María L. Torres de Squire (1993)
Publicacions Matemàtiques
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We extend to locally compact abelian groups, Fejer's theorem on pointwise convergence of the Fourier transform. We prove that lim φ * f(y) = f (y) almost everywhere for any function f in the space (L, l)(G) (hence in L(G)), 2 ≤ p ≤ ∞, where {φ} is Simon's generalization to locally compact abelian groups of the summability Fejer Kernel. Using this result, we extend to locally compact abelian groups a theorem of F. Holland on the Fourier transform of unbounded measures of type q. ...
Colin C. Graham (1976)
Colloquium Mathematicae
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Kathryn E. Hare (1988)
Colloquium Mathematicae
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Marek Bożejko (1979)
Colloquium Mathematicae
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Wolfgang Arendt (1985)
Mathematische Annalen
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Alessandro Figà-Talamanca (1965)
Rendiconti del Seminario Matematico della Università di Padova
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Louis Pigno (1981)
Colloquium Mathematicae
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S. Hartman (1975)
Colloquium Mathematicae
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Kluvánek, I.
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Henry Helson (1954)
Studia Mathematica
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