A generalization of the Salem test
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- by Daniel Waterman PDF
- Proc. Amer. Math. Soc. 105 (1989), 129-133 Request permission
Abstract:
The Salem test is a criterion for uniform convergence of a Fourier series on the circle group. An improved test for convergence at a point and uniform convergence on an arbitrary set is obtained, as well as a necessary and sufficient condition for the convergence of the Fourier series of a function at a Lebesgue point.References
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Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 105 (1989), 129-133
- MSC: Primary 42A20; Secondary 42A16
- DOI: https://doi.org/10.1090/S0002-9939-1989-0929413-1
- MathSciNet review: 929413