Pointwise van der Corput lemma for functions of several variables |
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| Authors: | Michael Ruzhansky |
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| Affiliation: | (1) Imperial College London, London, UK |
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| Abstract: | A multidimensional version of the well-known van der Corput lemma is presented. A class of phase functions is described for which the corresponding oscillatory integrals satisfy a multidimensional decay estimate. The obtained estimates are uniform with respect to parameters on which the phases and amplitudes may depend. |
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| Keywords: | van der Corput lemma oscillatory integral asymptotic estimate |
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