A characterisation of lipschitz classes on finite dimensional groups
Bloom, W.R. (1976) A characterisation of lipschitz classes on finite dimensional groups. Proceedings of the American Mathematical Society, 59 (2). pp. 297-304.
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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.
|Publication Type:||Journal Article|
|Murdoch Affiliation:||School of Mathematical and Physical Sciences|
|Publisher:||American Mathematical Society|
|Copyright:||1976 American Mathematical Society|
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