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