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Cesàro Transforms of Fourier Coefficients
of  -functions
Author:
Jie Xiao
Journal:
Proc. Amer. Math. Soc. 125 (1997), 3613-3616
MSC (1991):
Primary 26D15, 42A05, 42A16
MathSciNet review:
1415377
Full-text PDF Free Access
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Additional Information
Abstract: In this note, we show that Cesàro transforms of Fourier cosine or sine coefficients of any  -function are Fourier cosine or sine coefficients of some  -function.
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Additional Information
Jie Xiao
Email:
jxiao@sxx0.math.pku.edu.cn
DOI:
http://dx.doi.org/10.1090/S0002-9939-97-04040-9
PII:
S 0002-9939(97)04040-9
Keywords:
Ces\`{a}ro transforms,
Fourier coefficients
Received by editor(s):
December 11, 1995
Received by editor(s) in revised form:
July 9, 1996
Additional Notes:
The author is partially supported by the National Science Foundation of China
Communicated by:
J. Marshall Ash
Article copyright:
© Copyright 1997 American Mathematical Society
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