Van der Corput lemma (harmonic analysis)
id:
van-der-corput-lemma-harmonic-analysis-296-9015501
title:
Van der Corput lemma (harmonic analysis)
text:
In mathematics, in the field of harmonic analysis,
the van der Corput lemma is an estimate for oscillatory integrals
named after the Dutch mathematician J. G. van der Corput. The following result is stated by E. Stein: Suppose that a real-valued function ϕ is smooth in an open interval ,
and that | ϕ | ≥ 1 for all x ∈ .
Assume that either k ≥ 2 , or that k = 1 and ϕ ′ is monotone for x ∈ R .
Then there is a constant c k , which does not depend on ϕ ,
such that for any λ ∈ R .
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https://en.wikipedia.org/wiki/Van_der_Corput_lemma_(harmonic_analysis)
date created:
date modified:
2022-08-31T18:05:39Z
main entity:
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