Fourier analysis used in analytic number theory
Tikao Tatuzawa (1975)
Acta Arithmetica
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Tikao Tatuzawa (1975)
Acta Arithmetica
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Daniel Waterman (1972)
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Julian Musielak (1958)
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Daniel Waterman (1976)
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S. Fridli (1997)
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Since the trigonometric Fourier series of an integrable function does not necessarily converge to the function in the mean, several additional conditions have been devised to guarantee the convergence. For instance, sufficient conditions can be constructed by using the Fourier coefficients or the integral modulus of the corresponding function. In this paper we give a Hardy-Karamata type Tauberian condition on the Fourier coefficients and prove that it implies the convergence of the Fourier...
C. Neugebauer (1972)
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Hsiang, Fu Cheng (1964)
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Bartolomé Barceló (1986)
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Antoni Zygmund (1930)
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Okuyama, Yasuo (1983-1984)
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