Uniqueness for non-harmonic
trigonometric series
Author:
Kaora Yoneda
Journal:
Proc. Amer. Math. Soc. 124 (1996), 1795-1800
MSC (1991):
Primary 42A63
DOI:
https://doi.org/10.1090/S0002-9939-96-03427-2
MathSciNet review:
1328382
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Abstract | References | Similar Articles | Additional Information
Abstract: When ,
and
if
then
More generalized results are given.
- 1. N. K. Bary, A treatise on trigonometric series. Vols. I, II, Authorized translation by Margaret F. Mullins. A Pergamon Press Book, The Macmillan Co., New York, 1964. MR 0171116
- 2. A. Zygmund, Über die Beziehungen der trigonometrisch en Reihen und Integrale, Mat. Anal. 99 (1928), 562--589.
- 3. A. Zygmund, Trigonometric series. 2nd ed. Vols. I, II, Cambridge University Press, New York, 1959. MR 0107776
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Additional Information
Kaora Yoneda
Affiliation:
Department of Mathematics and Information Sciences, Osaka Prefecture University, 1-1 Gakuen-cho, Sakai, Osaka 593, Japan
Email:
yoneda@mathsun.cias.osakafu-u.ac.jp
DOI:
https://doi.org/10.1090/S0002-9939-96-03427-2
Keywords:
Uniqueness,
trigonometric series
Received by editor(s):
March 30, 1994
Received by editor(s) in revised form:
November 29, 1994
Communicated by:
J. Marshall Ash
Article copyright:
© Copyright 1996
American Mathematical Society