A characterization of Lipschitz classes on finite dimensional groups
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- by Walter R. Bloom PDF
- Proc. Amer. Math. Soc. 59 (1976), 297-304 Request permission
Abstract:
An analogue of a theorem of S. N. Bernstein is developed for certain metric locally compact abelian groups. This, together with a corresponding Jackson-type theorem, gives a characterisation in terms of their Fourier transforms of the Lipschitz functions defined on a compact abelian group with finite topological dimension.References
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Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 59 (1976), 297-304
- MSC: Primary 41A65; Secondary 43A70
- DOI: https://doi.org/10.1090/S0002-9939-1976-0417654-2
- MathSciNet review: 0417654