A Pseudospectral Analogue of Discrete Borg type Theorems
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Author: V. B. Kiran Kumar, G. Krishna Kumar
Added by: arkiver
Added Date: 2018-06-29
Subjects: Spectral Theory, Mathematics
Publishers: arXiv.org
PDF Count: 1
Total Size: 3.58 MB
PDF Size: 3.56 MB
Extensions: pdf, torrent
Contributor: Internet Archive
License: Unknown License
Downloads: 24
Views: 74
Total Files: 6
Media Type: texts
Total Files: 2
Description
The pseudospectral versions of the discrete Borg-type theorems are obtained in this article using some simple linear algebraic techniques. In particular, we prove that the periodic potential of a discrete Schrodinger operator is almost a constant if and only if the pseudospectrum of the operator is connected. This result is further extended to more general settings and the connection to the well-known Ten Martini problem is also established. The numerical illustrations done at the end will justify the results developed.
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