Asymptotic analysis of oscillatory integrals via the Newton polyhedra of the phase and the amplitude

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概要

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• The asymptotic behavior at infinity of oscillatory integrals is in detail investigated by using the Newton polyhedra of the phase and the amplitude. We are especially interested in the case that the amplitude has a zero at a critical point of the phase. The properties of poles of local zeta functions, which are closely related to the behavior of oscillatory integrals, are also studied under the associated situation.

著者

• KAMIMOTO JOE

  Faculty of Mathematics, Kyushu University

• Nose Toshihiro

  Faculty of Mathematics, Kyushu University

• CHO Koji

  Faculty of Mathematics, Kyushu University

関連論文

• ASYMPTOTICS OF THE BERGMAN FUNCTION FOR SEMIPOSITIVE HOLOMORPHIC LINE BUNDLES
• Asymptotic analysis of oscillatory integrals via the Newton polyhedra of the phase and the amplitude
• Asymptotic analysis of oscillatory integrals via the Newton polyhedra of the phase and the amplitude

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