Back to Search
Start Over
Uniform estimates for oscillatory integrals with homogeneous polynomial phases of degree 4.
- 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