The question of A*-summability of double trigonometric Fourier series |
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Authors: | L. D. Gogoladze |
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Affiliation: | (1) Tbilisi State University, USSR |
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Abstract: | It is proved that for anyf(x, y) L(R), where R=[-,,-, ], a function (x, y), exists such that ¦(x, y) ¦=¦f(x, y) ¦ for almost all (x, y) R. The Fourier series of the function (x, y) and all conjugate trigonometric series are A*-summable almost everywhere.Translated from Matematicheskie Zametki, Vol. 11, No. 2, pp. 145–150, February, 1972. |
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