UBC Theses and Dissertations

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UBC Theses and Dissertations

Interpolation theory and Lipschitz classes on totally disconnected groups Bradley, John Scott


This thesis concerns the absolute convergence of the Fourier series of functions belonging to certain Lipschitz classes on totally disconnected groups. The technique used is one of interpolating between certain endpoint results which are proven directly. These results are shown to be best possible and a counterexample in interpolation theory is given.

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