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

Abstract

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.

Item Metadata

Title
Interpolation theory and Lipschitz classes on totally disconnected groups
Creator
Bradley, John Scott
Publisher
University of British Columbia
Date Issued
1974
Description
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.
Genre
Thesis/Dissertation
Type
Text
Language
eng
Date Available
2010-01-19
Provider
Vancouver : University of British Columbia Library
Rights
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.
DOI
10.14288/1.0080108
URI
http://hdl.handle.net/2429/18687
Degree
Master of Science - MSc
Program
Mathematics
Affiliation
Science, Faculty of; Mathematics, Department of
Degree Grantor
University of British Columbia
Campus
UBCV
Scholarly Level
Graduate
Aggregated Source Repository
DSpace

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Rights

For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.