Oscillatory Integrals and Fractal Dimension (CROSBI ID 292336)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Rolin, Jean-Philippe ; Vlah, Domagoj ; Županović, Vesna
engleski
Oscillatory Integrals and Fractal Dimension
We study geometrical representation of oscillatory integrals with an analytic phase function and a smooth amplitude with compact support. Geometrical properties of the curves defined by the oscillatory integral depend on the type of a critical point of the phase. We give explicit formulas for the box dimension and the Minkowski content of these curves. Methods include Newton diagrams and the resolution of singularities.
Oscillatory integral ; Box dimension ; Minkowski content ; Critical points ; Newton diagram
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Podaci o izdanju
168
2021.
102972
31
objavljeno
0007-4497
1952-4773
10.1016/j.bulsci.2021.102972