A Freiman-type theorem for locally compact abelian groups

Details A Freiman-type theorem for locally compact abelian groups A Freiman-type theorem for locally compact abelian groups

2007-10-12

arxiv.org/abs/0710.2545v2

Ann. Inst. Fourier (Grenoble) 59 (2009), no. 4, 1321-1335

Mathematics

Classical Analysis and ODEs

12 pp. Corrected typos. Updated references. Minor revisions.

Scientific paper

We prove a Freiman-type theorem for locally compact abelian groups. If A is a
subset of a locally compact abelian group with Haar measure m and m(nA) <
n^dm(A) for all n>d log d then we describe A in a way which is tight up to
logarithmic factors in d.

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