Pregled bibliografske jedinice broj: 1117283
Oscillatory Integrals and Fractal Dimension
Oscillatory Integrals and Fractal Dimension // Bulletin des sciences mathématiques, 168 (2021), 102972, 31 doi:10.1016/j.bulsci.2021.102972 (međunarodna recenzija, članak, znanstveni)
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Naslov
Oscillatory Integrals and Fractal Dimension
Autori
Rolin, Jean-Philippe ; Vlah, Domagoj ; Županović, Vesna
Izvornik
Bulletin des sciences mathématiques (0007-4497) 168
(2021);
102972, 31
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Oscillatory integral ; Box dimension ; Minkowski content ; Critical points ; Newton diagram
Sažetak
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.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
