Oscillatory singular integrals and harmonic analysis on nilpotent groups
- 1 January 1986
- journal article
- Published by Proceedings of the National Academy of Sciences in Proceedings of the National Academy of Sciences
- Vol. 83 (1), 1-3
- https://doi.org/10.1073/pnas.83.1.1
Abstract
Several related classes of operators on nilpotent Lie groups are considered. These operators involve the following features: (i) oscillatory factors that are exponentials of imaginary polynomials, (ii) convolutions with singular kernels supported on lower-dimensional submanifolds, (iii) validity in the general context not requiring the existence of dilations that are automorphisms.Keywords
This publication has 1 reference indexed in Scilit:
- Singular integrals related to the Radon transform and boundary value problemsProceedings of the National Academy of Sciences, 1983