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Uniform estimates for oscillatory integrals with homogeneous polynomial phases of degree 4.

Authors :
Ruzhansky, Michael
Safarov, Akbar R.
Khasanov, Gafurjan A.
Source :
Analysis & Mathematical Physics; Dec2022, Vol. 12 Issue 6, p1-20, 20p
Publication Year :
2022

Abstract

In this paper we consider the uniform estimates for oscillatory integrals with homogeneous polynomial phases of degree 4 in two variables. The obtained estimate is sharp and the result is an analogue of the more general theorem of Karpushkin (Proc I.G.Petrovsky Seminar 9:3–39, 1983) for sufficiently smooth functions, thus, in particular, removing the analyticity assumption. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
16642368
Volume :
12
Issue :
6
Database :
Complementary Index
Journal :
Analysis & Mathematical Physics
Publication Type :
Academic Journal
Accession number :
159541595
Full Text :
https://doi.org/10.1007/s13324-022-00747-w