Frieman Theorem, Fourier transform, and additive structure of measures

A Iosevich, M Rudnev

Research output: Contribution to journalArticle (Academic Journal)peer-review

4 Citations (Scopus)

Abstract

We use the Freiman theorem in arithmetic combinatorics to show that if the Fourier transform of certain measures satisfies sufficiently bad estimates, then the support of the measure possesses an additive structure. The result is then discussed in light of the Falconer distance problem.
Translated title of the contributionFrieman Theorem, Fourier transform, and additive structure of measures
Original languageEnglish
Pages (from-to)97 - 109
Number of pages13
JournalJournal of the Australian Mathematical Society
Volume86, issue 1
DOIs
Publication statusPublished - Feb 2009

Bibliographical note

Publisher: Cambridge University Press

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