The volume near the zeroes of a smooth function

  • Pavel Batchourine

    Princeton University, USA
  • Charles Fefferman

    Princeton University, United States

Abstract

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

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