Norm decay rates of the Fourier oscillatory integral operators for a class of homogeneous-type polynomial hybrid phases

Norm decay rates of the Fourier oscillatory integral operators for a class of homogeneous-type polynomial hybrid phases

This paper presents a new approach to the L2(R) norm decay rates of the Fourier oscillatory integral operators for some classes of degenerate phases. In particular, the sharp norm decay rates of the Fourier oscillatory integral operators for homogeneous-type polynomial phases, and those for a class...

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Veröffentlicht in:Results in applied mathematics 2024-11, Vol.24, p.100513, Article 100513
Hauptverfasser: Pham, Tuan Anh, Vu, Nhat Huy, Nguyen, Minh Tuan
Format: Artikel
Sprache:eng
Schlagworte:
Almost orthogonal theorem
Fourier oscillatory integrals
Norm decay rate
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Zusammenfassung:This paper presents a new approach to the L2(R) norm decay rates of the Fourier oscillatory integral operators for some classes of degenerate phases. In particular, the sharp norm decay rates of the Fourier oscillatory integral operators for homogeneous-type polynomial phases, and those for a class of nonsmooth polynomial hybrid phase functions are obtained.
ISSN:2590-0374
2590-0374
DOI:10.1016/j.rinam.2024.100513