most recent 30 from http://mathoverflow.net 2013-05-24T20:41:46Z http://mathoverflow.net/feeds/question/81793 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/81793/oscillatory-integral-decay-sublevel-set-growth florian 2011-11-24T11:00:42Z 2011-11-24T11:54:38Z

<p>I am trying to understand how estimates on sublevel integrals imply estimates on oscillatory integrals. Specifically in <a href="http://arxiv.org/abs/0804.1579" rel="nofollow">this</a> article by M. Greenblatt it says on page 7:</p> <blockquote> <p>By well-known methods relating sublevel integrals to oscillatory integrals, the above results about [some sublevel integral] have direct implications for [some oscillatory integral].</p> </blockquote> <p>These methods are not known to me. Can anyone point me to a book or paper, which treats this in detail?</p> <p>Thanks!</p>

http://mathoverflow.net/questions/81793/oscillatory-integral-decay-sublevel-set-growth/81796#81796 Igor Rivin 2011-11-24T11:54:38Z 2011-11-24T11:54:38Z

<p>The author supplies copious references -- Stein's book seems particularly relevant...</p>