| Issue |
Math. Model. Nat. Phenom.
Volume 8, Number 1, 2013
Harmonic analysis
|
|
|---|---|---|
| Page(s) | 75 - 81 | |
| DOI | https://doi.org/10.1051/mmnp/20138105 | |
| Published online | 28 January 2013 | |
A Remark on the Hull of a Multi-Dimensional Limit-Periodic Potential
Department of Mathematics, Rice
University, Houston,
TX
77005,
USA
∗ Corresponding author. E-mail: zheng.gan@rice.edu
Z. G. was supported in part by NSF grant DMS–0800100.
We discuss the hull of a multi-dimensional limit-periodic potential and show that such a hull is an inverse limit of product cyclic groups. We present the result in an explicit way, which will be useful for a future study of multi-dimensional limit-periodic Schrödinger operators.
Mathematics Subject Classification: 47B36 / 47B80 / 81Q10
Key words: limit-periodic potential / inverse limit
© EDP Sciences, 2013
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