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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Walsh-Fourier coefficients and locally constant functions


Author: William R. Wade
Journal: Proc. Amer. Math. Soc. 87 (1983), 434-438
MSC: Primary 42C10
DOI: https://doi.org/10.1090/S0002-9939-1983-0684633-3
MathSciNet review: 684633
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Abstract: A condition on the Walsh-Fourier coefficients of a continuous function $ f$ sufficient to conclude that $ f$ is locally constant is obtained. The condition contains certain conditions identified earlier by Bočkarev, Coury, Skvorcov and Wade, and Powell and Wade.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1983-0684633-3
Keywords: Walsh functions, Walsh-Dirichlet kernel, dyadic addition, Dini derivates
Article copyright: © Copyright 1983 American Mathematical Society