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 of nonsmooth polynomial hybrid phase functions are obtained.

Authors

Publication Details

Journal
Results in Applied Mathematics
Published
2024-11-01
DOI
https://doi.org/10.1016/j.rinam.2024.100513
Primary Topic
Holomorphic and Operator Theory
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

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

Nguyen Minh Tuan, Tuan Anh Pham, Nhat Huy Vu
Results in Applied Mathematics
Holomorphic and Operator Theory
article

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

Nguyen Minh Tuan, Tuan Anh Pham, Nhat Huy Vu
article en

Abstract

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.

Results in Applied MathematicsVol. 24
Openalex Percentile: Top 67%
Holomorphic and Operator Theory
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Norm decay rates of the Fourier oscillatory integral operators for a class of homogeneous-type polynomial hybrid phases — Nguyen Minh Tuan, Tuan Anh Pham, et al. · Results in Applied Mathematics (2024) | TGRS Research Map | TGRS