A local property of |C,1| summability of Fourier series
Hsiang, Fu Cheng (1961)
Portugaliae mathematica
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Hsiang, Fu Cheng (1961)
Portugaliae mathematica
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Bajpai, S.D. (1971)
Portugaliae mathematica
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R. Taberski (1979)
Banach Center Publications
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E. Bombieri, H. Davenport (1969)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Mario O. González Rodríguez (1981)
Revista Matemática Hispanoamericana
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Let w = f(z, ..., z) = u(x, ..., y) + iv(x, ..., y) be a complex function of the n complex variables z, ..., z, defined in some open set A ⊂ C. The purpose of this note is to prove a maximum modulus theorem for a class of these functions, assuming neither the continuity of the first partial derivatives of u and v with respect to x and y, nor the conditions f = 0 in A for k = 1, 2, ..., n (the Cauchy-Riemann equations in complex form).
Kenneth S. Williams, Nan Yue Zhang (1994)
Mathematica Slovaca
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S. Kwapień (1972)
Studia Mathematica
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