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April, 2007 The volume near the zeroes of a smooth function
Pavel Batchourine, Charles Fefferman
Rev. Mat. Iberoamericana 23(1): 259-267 (April, 2007).

Abstract

We show that if a smooth function that never vanishes to infinite order, then the set of points within the distance $\delta$ from the zeroes of this function has volume $O(\delta).$

Citation

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Pavel Batchourine. Charles Fefferman. "The volume near the zeroes of a smooth function." Rev. Mat. Iberoamericana 23 (1) 259 - 267, April, 2007.

Information

Published: April, 2007
First available in Project Euclid: 1 June 2007

zbMATH: 1122.28005
MathSciNet: MR2351134

Subjects:
Primary: 28A75, 54C50

Keywords: Level sets, Volume

Rights: Copyright © 2007 Departamento de Matemáticas, Universidad Autónoma de Madrid

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Vol.23 • No. 1 • April, 2007
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