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