On the restriction of the Fourier transform to polynomial curves

Dendrinos, S. (2007) On the restriction of the Fourier transform to polynomial curves. In: Carberry, A. and Danikas, N. (eds.) Complex and Harmonic Analysis: Proceedings of the International Conference, May 25-27, 2006, Aristotle University of Thessaloniki. DEStech Publications: Lancaster, PA, USA, pp. 273-294. ISBN 9781932078732

Abstract

We prove a Fourier restriction theorem on curves parametrised by the mapping P(t) = (P₁(t),..., P_n(t)), where each of the P₁,..., P_n is a real-valued polynomial and t belongs to an interval on which each of the P₁,..., P_n "resembles" a monomial.

• Item Type: Book Sections
• Additional Information: This article appeared in its original form in Complex and Harmonic Analysis: Proceedings of the International Conference, 2006. Lancaster, PA: DEStech Publications, Inc.
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Dendrinos, Dr Spyridon
• Authors: Dendrinos, S.
• Subjects: Q Science > QA Mathematics
• College/School: College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• Research Group: Analysis
• Publisher: DEStech Publications
• ISBN: 9781932078732
• Copyright Holders: Copyright © 2007 DEStech Publications
• Publisher Policy: Reproduced with the permission of the publisher.