|
This article is cited in 4 scientific papers (total in 4 papers)
Estimates for oscillatory integrals with convex phase
M. A. Chahkiev Russian State Social University
Abstract:
We consider methods for estimating one-dimensional oscillatory integrals with convex phase and amplitudes of bounded variation or Lipschitz class amplitudes. In particular, we improve the estimate for the Piercey integral with near-caustic parameter values, and also consider estimation methods for $n$-dimensional oscillatory integrals.
Received: 17.05.2005
Citation:
M. A. Chahkiev, “Estimates for oscillatory integrals with convex phase”, Izv. Math., 70:1 (2006), 171–209
Linking options:
https://www.mathnet.ru/eng/im754https://doi.org/10.1070/IM2006v170n01ABEH002308 https://www.mathnet.ru/eng/im/v70/i1/p183
|
Statistics & downloads: |
Abstract page: | 769 | Russian version PDF: | 291 | English version PDF: | 42 | References: | 75 | First page: | 3 |
|