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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Fractals and distributions on the $N$-torus


Author: Victor L. Shapiro
Journal: Proc. Amer. Math. Soc. 131 (2003), 3431-3440
MSC (2000): Primary 42B35, 46F99; Secondary 42B05, 05A18
Published electronically: February 6, 2003
MathSciNet review: 1990632
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Abstract: This paper establishes non-Cartesian product sets, called fractal carpets and fractal foam, as sets of uniqueness for a class of trigonometric series.


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Additional Information

Victor L. Shapiro
Affiliation: Department of Mathematics, University of California, Riverside, California 92521-0135
Email: shapiro@math.ucr.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-03-06929-6
PII: S 0002-9939(03)06929-6
Keywords: Fractal, carpet, distribution, $N$-torus
Received by editor(s): July 3, 2001
Received by editor(s) in revised form: May 25, 2002
Published electronically: February 6, 2003
Communicated by: Andreas Seeger
Article copyright: © Copyright 2003 American Mathematical Society