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arXiv · 1902.02409

Stationary phase type estimates for low symbol regularity

Melissa Tacy
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Abstract

The well-known stationary phase formula gives us a way to precisely compute oscillating integrals so long as the symbol is regular enough (in comparison to the large parameter controlling the oscillation). However in a number of applications we find ourselves with symbols that are not suitably regular. In this paper we obtain decay bounds for such oscillatory integrals.

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Melissa Tacy. 2019-02-06. Stationary phase type estimates for low symbol regularity. https://arxiv.org/abs/1902.02409

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