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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


On Lebesgue summability for double series

Author: M. J. Kohn
Journal: Proc. Amer. Math. Soc. 59 (1976), 283-286
MSC: Primary 42A92
MathSciNet review: 0415197
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Abstract: In [2] a two dimensional analogue of Lebesgue's theorem on differentiation of formally integrated trigonometric series was established. Here we show that a stronger analogue holds.

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Additional Information

PII: S 0002-9939(1976)0415197-3
Keywords: Double trigonometric series, spherically convergent series, symmetric derivative, symmetric approximate derivative, Lebesgue summability
Article copyright: © Copyright 1976 American Mathematical Society

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