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A characterisation of lipschitz classes on finite dimensional groups
Journal article   Peer reviewed

A characterisation of lipschitz classes on finite dimensional groups

W.R. Bloom
Proceedings of the American Mathematical Society, Vol.59(2), pp.297-304
1976
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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.

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