Aspects of harmonic analysis over finite fields

In this thesis we study three topics in Harmonic Analysis in the finite field setting. The methods used are purely combinatorial in nature. We prove a sharp result for the maximal operator associated to dilations of quadric surfaces. We use Christ’s method ([Christ, Convolution, Curvature and Combin...

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Bibliographic Details
Main Author: Stones, Brendan
Published: University of Edinburgh 2005
Subjects:
519
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.662516