Uniqueness of Representation by Trigonometric Series
作者:
AshJ. Marshall,
期刊:
The American Mathematical Monthly
(Taylor Available online 1989)
卷期:
Volume 96,
issue 10
页码: 873-885
ISSN:0002-9890
年代: 1989
DOI:10.1080/00029890.1989.11972299
出版商: Taylor&Francis
数据来源: Taylor
摘要:
AbstractIn 1870 Georg Cantor proved that a 2πperiodic complex valued function of a real variable coincides with the values of at most one trigonometric series. We present his proof and then survey some of the many one dimensional generalizations and extensions of Cantor's theorem. We also survey the situation in higher dimensions, where a great deal less is known.
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