Four variants of the Fourier-analytic transference principle

Sean Prendiville

    Research output: Contribution to journalArticlepeer-review


    We survey four instances of the Fourier analytic ‘transference principle’ or ‘dense model lemma’, which allows one to approximate an unbounded function on the integers by a bounded function with similar Fourier transform. Such a result forms a component of a general method pioneered by Green to count solutions to a single linear equation in a sparse subset of integers.
    Original languageEnglish
    Article number#05
    Number of pages25
    JournalOnline Journal of Analytic Combinatorics
    Issue number12
    Publication statusPublished - 2017


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