A Freĭman-type theorem for locally compact Abelian groups

DOI10.5802/aif.2465zbMath1179.43002arXiv0710.2545OpenAlexW2962793087MaRDI QIDQ734597

Tom Sanders

Publication date: 13 October 2009

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.2545

zbMATH Keywords

Fourier transformpolynomial growthFreiman's theoremballs in pseudometrics

Mathematics Subject Classification ID

Arithmetic progressions (11B25) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25)

Related Items (3)

Approximate groups and doubling metrics ⋮ Reverse Brunn-Minkowski and reverse entropy power inequalities for convex measures ⋮ The largest $(k, \ell)$-sum-free sets in compact abelian groups

Cites Work

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• A quantitative version of the idempotent theorem in harmonic analysis
• A Szemerédi-type regularity lemma in abelian groups, with applications
• ON A GENERALIZATION OF SZEMERÉDI'S THEOREM
• Freiman's theorem in an arbitrary abelian group

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