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


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 $O(\delta).$


Download Citation

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


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

zbMATH: 1122.28005
MathSciNet: MR2351134

Primary: 28A75 , 54C50

Keywords: Level sets , Volume

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

Vol.23 • No. 1 • April, 2007
Back to Top