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About: Van der Corput lemma (harmonic analysis)     Goto   Sponge   NotDistinct   Permalink

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Type: yago:WikicatLemmasyago:Abstraction100002137yago:Attribute100024264yago:Communication100033020yago:Difference104748836yago:Inequality104752221yago:Lemma106751833yago:Message106598915yago:Proposition106750804yago:Quality104723816yago:WikicatInequalitiesyago:Statement106722453 New Facet based on Instances of this Class

In mathematics, in the field of harmonic analysis,the van der Corput lemma is an estimate for oscillatory integralsnamed after the Dutch mathematician J. G. van der Corput. The following result is stated by E. Stein: Suppose that a real-valued function is smooth in an open interval ,and that for all .Assume that either , or that and is monotone for .Then there is a constant , which does not depend on ,such that for any .