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arXiv · 2009.09620

On oscillatory integrals associated to phase functions with degenerate singular points

Toshio Nagano·Naoya Miyazaki
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Abstract

In this note, by using the result in one variable, we obtain asymptotic expansions of oscillatory integrals for certain multivariable phase functions with {\bf degenerate} singular points. Moreover by using this result, we have asymptotic expansions of oscillatory integrals with phase function of type $A_{k}$, $E_6$, $E_8$-function germs.

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Toshio Nagano, Naoya Miyazaki. 2020-09-21. On oscillatory integrals associated to phase functions with degenerate singular points. https://arxiv.org/abs/2009.09620

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