Please use this identifier to cite or link to this item: https://doi.org/10.1007/s00041-008-9024-2
Title: Proof of the hyperplane zeros conjecture of Lagarias and Wang
Authors: Lawton, W. 
Keywords: Asymptotic
Étale mapping
Expansive endomorphism of torus group
Lojasiewicz's structure theorem for real analytic sets
Pontryagin duality
Resolution of singularities
Issue Date: Aug-2008
Citation: Lawton, W. (2008-08). Proof of the hyperplane zeros conjecture of Lagarias and Wang. Journal of Fourier Analysis and Applications 14 (4) : 588-605. ScholarBank@NUS Repository. https://doi.org/10.1007/s00041-008-9024-2
Abstract: We prove that a real analytic subset of a torus group that is contained in its image under an expanding endomorphism is a finite union of translates of closed subgroups. This confirms the hyperplane zeros conjecture of Lagarias and Wang for real analytic varieties. Our proof uses real analytic geometry, topological dynamics, and Fourier analysis. © 2008 Birkhäuser Boston.
Source Title: Journal of Fourier Analysis and Applications
URI: http://scholarbank.nus.edu.sg/handle/10635/103976
ISSN: 10695869
DOI: 10.1007/s00041-008-9024-2
Appears in Collections:Staff Publications

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