Oscillatory integrals and fractal dimension

نویسندگان

چکیده

We study geometrical representation of oscillatory integrals with an analytic phase function and a smooth amplitude compact support. Geometrical properties the curves defined by integral depend on type critical point phase. give explicit formulas for box dimension Minkowski content these curves. Methods include Newton diagrams resolution singularities.

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ژورنال

عنوان ژورنال: Bulletin Des Sciences Mathematiques

سال: 2021

ISSN: ['0007-4497', '1952-4773']

DOI: https://doi.org/10.1016/j.bulsci.2021.102972