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 |
Show full item record
Files in This Item:
There are no files associated with this item.
SCOPUSTM
Citations
2
checked on Feb 2, 2023
WEB OF SCIENCETM
Citations
2
checked on Feb 2, 2023
Page view(s)
147
checked on Feb 2, 2023
Google ScholarTM
Check
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.