The volume near the zeroes of a smooth function

Pavel Batchourine; Charles Fefferman

doi:10.4171/RMI/494

The volume near the zeroes of a smooth function

Pavel Batchourine, Charles Fefferman

Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

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

Original language	English (US)
Pages (from-to)	259-267
Number of pages	9
Journal	Revista Matematica Iberoamericana
Volume	23
Issue number	1
DOIs	https://doi.org/10.4171/RMI/494
State	Published - 2007

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

Level sets
Volume

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10.4171/RMI/494

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title = "The volume near the zeroes of a smooth function",

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

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author = "Pavel Batchourine and Charles Fefferman",

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language = "English (US)",

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pages = "259--267",

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AU - Batchourine, Pavel

AU - Fefferman, Charles

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

KW - Level sets

KW - Volume

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JO - Revista Matematica Iberoamericana

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The volume near the zeroes of a smooth function

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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