The volume near the zeroes of a smooth function
Batchourine, Pavel ; Fefferman, Charles
Rev. Mat. Iberoamericana, Tome 23 (2007) no. 1, p. 259-267 / Harvested from Project Euclid
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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 $O(\delta).$
Publié le : 2007-04-14
Classification:  level sets,  volume,  28A75,  54C50 
@article{1180728893,
     author = {Batchourine, Pavel and Fefferman, Charles},
     title = {The volume near the zeroes of a smooth function},
     journal = {Rev. Mat. Iberoamericana},
     volume = {23},
     number = {1},
     year = {2007},
     pages = { 259-267},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1180728893}
}

Batchourine, Pavel; Fefferman, Charles. The volume near the zeroes of a smooth function. Rev. Mat. Iberoamericana, Tome 23 (2007) no. 1, pp.  259-267. http://gdmltest.u-ga.fr/item/1180728893/