A characterisation of lipschitz classes on finite dimensional groups
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Bloom, W.R. (1976) A characterisation of lipschitz classes on finite dimensional groups. Proceedings of the American Mathematical Society, 59 (2). pp. 297-304.
Link to Published Version: http://dx.doi.org/10.2307/2041489
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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.
| Item Type: | Journal Article |
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| Murdoch Affiliation(s): | School of Mathematical and Physical Sciences |
| Publisher: | American Mathematical Society |
| Copyright: | 1976 American Mathematical Society |
| URI: | http://researchrepository.murdoch.edu.au/id/eprint/31425 |
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