The complete (Lp, Lp) mapping properties for a class of oscillatory integrals
✍ Scribed by Yibiao Pan; Gary Sampson
- Publisher
- SP Birkhäuser Verlag Boston
- Year
- 1998
- Tongue
- English
- Weight
- 427 KB
- Volume
- 4
- Category
- Article
- ISSN
- 1069-5869
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
In this paper we study the behaviour of certain integral operators acting on weighted L p spaces. Particular cases include the classical integral transforms of Kontorovich and Lebedev and Mehler and Fock and the F -index transform 2 1 considered by Gonzalez, Hayek, and Negrin.
A generalization of the Ostrowski integral inequality for mappings whose derivaw x tives belong to L a, b , 1p -ϱ, and applications for general quadrature p formulae are given.
Highly oscillatory integrals require special techniques for their effective evaluation. Various studies have been conducted to find computational methods for evaluating such integrals. In this paper we present an efficient numerical method to evaluate a class of generalised Fourier integrals (on a l