JournalsrmiVol. 23, No. 1pp. 259–267

The volume near the zeroes of a smooth function

  • Pavel Batchourine

    Princeton University, USA
  • Charles Fefferman

    Princeton University, United States
The volume near the zeroes of a smooth function cover
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Abstract

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

Cite this article

Pavel Batchourine, Charles Fefferman, The volume near the zeroes of a smooth function. Rev. Mat. Iberoam. 23 (2007), no. 1, pp. 259–267

DOI 10.4171/RMI/494