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On oscillatory integrals associated to phase functions with degenerate singular points
Published 21 Sep 2020 in math.CA, math-ph, math.DG, and math.MP | (2009.09620v1)
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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