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A convergence equivalence for trigonometric series Tan, Jiak-Koon

Abstract

Let Wn be the n th partial sum of a Walsh series. There is a necessary and sufficient condition for pointwise convergence of the sequence W₂n , (n = 0, 1, 2,…), namely, [ Formulas omitted ] The aim of this thesis is to formulate and discuss a similar convergence equivalence for trigonometric series.

Item Metadata

Title
A convergence equivalence for trigonometric series
Creator
Tan, Jiak-Koon
Publisher
University of British Columbia
Date Issued
1971
Description
Let Wn be the n th partial sum of a Walsh series. There is a necessary and sufficient condition for pointwise convergence of the sequence W₂n , (n = 0, 1, 2,…), namely, [ Formulas omitted ] The aim of this thesis is to formulate and discuss a similar convergence equivalence for trigonometric series.
Genre
Thesis/Dissertation
Type
Text
Language
eng
Date Available
2011-05-19
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
10.14288/1.0080452
URI
http://hdl.handle.net/2429/34702
Degree
Master of Arts - MA
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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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.