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arXiv:2009.09620 [math.CA]AbstractReferencesReviewsResources

On oscillatory integrals associated to phase functions with degenerate singular points

Toshio Nagano, Naoya Miyazaki

Published 2020-09-21Version 1

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.

Categories: math.CA, math-ph, math.DG, math.MP
Subjects: 42B20, 41A60, 58K05
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