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arxiv: 0711.0598 · v1 · pith:E4XLPXYSnew · submitted 2007-11-05 · 🧮 math.AP · math.FA

Multidimensional decay in van der Corput lemma

classification 🧮 math.AP math.FA
keywords corputlemmadecaymultidimensionalconnectinggainedintegralmethod
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In this paper we present a multidimensional version of the van der Corput lemma where the decay of the oscillatory integral is gained with respect to all space variables, connecting the standard one-dimensional van der Corput lemma with the stationary phase method.

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