Arithmetic means of Fourier coefficients
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- by Rajendra Sinha PDF
- Proc. Amer. Math. Soc. 55 (1976), 83-86 Request permission
Addendum: Proc. Amer. Math. Soc. 60 (1976), 243-244.
Abstract:
Given the Fourier coefficients of an even continuous function, we find a necessary and sufficient condition such that their arithmetic means are the Fourier coefficients of an odd continuous function. A similar result is shown for those Lipschitz classes whose elements are automatically equivalent to continuous functions.References
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Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 55 (1976), 83-86
- MSC: Primary 42A16
- DOI: https://doi.org/10.1090/S0002-9939-1976-0397274-9
- MathSciNet review: 0397274