Lipschitz classes on 0-dimensional groups

Author:

Walker P. L.

Abstract

1. Let G be a compact metric 0-dimensional Abelian group. Its dual or character group Γ is a discrete countable torsion group. We denote elements of G by x, of Γ by y, the value of the character y at x by (x, y), and the Fourier transform of f by

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference3 articles.

Cited by 7 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Rearrangements of functions on totally disconnected groups;Journal of Mathematical Analysis and Applications;2003-07

2. Fourier transformations of functions with symmetrical differences;Acta Mathematica Hungarica;1988-09

3. Multipliers of Lipschitz spaces on zero dimensional groups;Mathematische Zeitschrift;1981-12

4. Factorisation of Lipschitz functions on zero dimensional groups;Bulletin of the Australian Mathematical Society;1981-04

5. A characterisation of Lipschitz classes on 0-dimensional groups;Proceedings of the American Mathematical Society;1975

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