dc.contributor.author |
Oleinik, V.L. |
en |
dc.contributor.author |
Kalupin, A.P. |
en |
dc.date.accessioned |
2009-08-28T03:23:27Z |
en |
dc.date.available |
2009-08-28T03:23:27Z |
en |
dc.date.issued |
2001-05 |
en |
dc.identifier.citation |
Department of Mathematics - Research Reports-463 (2001) |
en |
dc.identifier.issn |
1173-0889 |
en |
dc.identifier.uri |
http://hdl.handle.net/2292/5165 |
en |
dc.description.abstract |
The spectrum of the perturbed shift operator $T$, $T: f(n)to f(n+1)+ a(n)f(n)$, in $ell^(bf Z)$ is considered for $a(n)$ taking a finite set of values. It is proven that if all values of the function $a(n)$ have uniform frequencies on $bf Z$ then the essential part of the spectrum is continuous and fills a lemniscate. |
en |
dc.publisher |
Department of Mathematics, The University of Auckland, New Zealand |
en |
dc.relation.ispartofseries |
Research Reports - Department of Mathematics |
en |
dc.rights.uri |
https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm |
en |
dc.source.uri |
http://www.math.auckland.ac.nz/Research/Reports/view.php?id=463 |
en |
dc.title |
LEMNISCATES AND THE SPECTRUM OF THE PERTURBED SHIFT |
en |
dc.type |
Technical Report |
en |
dc.subject.marsden |
Fields of Research::230000 Mathematical Sciences::230100 Mathematics |
en |
dc.rights.holder |
The author(s) |
en |