On Fourier Analytic Properties of Graphs

Jonathan Fraser, Tuomas Orponen, Tuomas Sahlsten

Research output: Contribution to journalArticleScientificpeer-review

12 Citations (Scopus)

Abstract

We study the Fourier dimensions of graphs of real-valued functions defined on the unit interval [0,1]. Our results imply that the graph of fractional Brownian motion is almost surely not a Salem set, answering in part a question of Kahane from 1993, and that the graph of a Baire typical function in C[0,1] has Fourier dimension 0.
Original languageEnglish
JournalINTERNATIONAL MATHEMATICS RESEARCH NOTICES
DOIs
Publication statusPublished - 2014
MoE publication typeA1 Journal article-refereed

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