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Stationary Phase Type Estimates for Low Symbol Regularity

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The well-known stationary phase formula gives us a way to find asymptotics of oscillating integrals so long as the symbol is regular enough (in comparison to the large parameter controlling… Click to show full abstract

The well-known stationary phase formula gives us a way to find asymptotics of 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.

Keywords: phase; symbol; stationary phase; type estimates; estimates low; phase type

Journal Title: Analysis Mathematica
Year Published: 2019

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