Lebesgue summability of double trigonometric series
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- by M. J. Kohn PDF
- Trans. Amer. Math. Soc. 225 (1977), 199-209 Request permission
Abstract:
We formulate a definition of symmetric derivatives of odd order for functions of two variables. Our definition is based on expanding in a Taylor’s series a weighted average of the function about circles. The definition is applied to derive results on Lebesgue summability for spherically convergent double trigonometric series.References
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Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 225 (1977), 199-209
- MSC: Primary 42A92
- DOI: https://doi.org/10.1090/S0002-9947-1977-0425505-0
- MathSciNet review: 0425505