Degenerate Oscillatory Integral Operators
Lead Research Organisation:
University of Edinburgh
Department Name: Sch of Mathematics
Abstract
In recent years, Fourier Analysis on Euclidean Spaces has become an extremely active research area in the USA and Europe and many of the centralproblems in this area can be reduced to understanding various oscillatory integral operators. The underlying geometry of the problemoften makes the corresponding operator degenerate in a certain sense. In thisproject we aim to explore and understand degenerateoscillatory integral operators which arise in keyresearch areas.
Organisations
People |
ORCID iD |
| James Wright (Principal Investigator) |
Publications
CARBERY A
(2008)
Averages in vector spaces over finite fields
in Mathematical Proceedings of the Cambridge Philosophical Society
Dendrinos S
(2009)
Universal L p improving for averages along polynomial curves in low dimensions
in Journal of Functional Analysis
Dendrinos S
(2008)
Fourier restriction, polynomial curves and a geometric inequality
in Comptes Rendus Mathematique
Dendrinos S
(2010)
An affine-invariant inequality for rational functions and applications in harmonic analysis
in Proceedings of the Edinburgh Mathematical Society
Folch-Gabayet M
(2008)
Singular integral operators associated to curves with rational components
in Transactions of the American Mathematical Society
Jones R
(2008)
Strong variational and jump inequalities in harmonic analysis
in Transactions of the American Mathematical Society
LAGHI N
(2008)
A note on restricted X-ray transforms
in Mathematical Proceedings of the Cambridge Philosophical Society
Oberlin R
(2012)
A variation norm Carleson theorem
in Journal of the European Mathematical Society