Almost everywhere convergence of Walsh Fourier series of -functions
N. Ladhawala, D. Pankratz (1976)
Studia Mathematica
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N. Ladhawala, D. Pankratz (1976)
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Z. Ciesielski, P. Simon, P. Sjölin (1977)
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Daniel Waterman (1976)
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Z. Ciesielski (1968)
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Wolodymyr Madych (1974)
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Bruce Aubertin, John Fournier (1993)
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We show that, if the coefficients (an) in a series tend to 0 as n → ∞ and satisfy the regularity condition that , then the cosine series represents an integrable function on the interval [-π,π]. We also show that, if the coefficients (bn) in a series tend to 0 and satisfy the corresponding regularity condition, then the sine series represents an integrable function on [-π,π] if and only if . These conclusions were previously known to hold under stronger restrictions on the sizes...
R. Taberski (1962)
Annales Polonici Mathematici
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Julian Musielak (1958)
Annales Polonici Mathematici
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Daniel Waterman (1972)
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R. Edwards, E. Hewitt, K. Ross (1972)
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