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|Title:||Properties and applications of the vector Harper operator / Stuart Yates.|
|School/Discipline:||Dept. of Pure Mathematics|
|Abstract:||This thesis examines a vector-valued generalization of the Harper operator on a graph with a free action of a discrete group, the scalar version of which was defined by Sunada. A spectral approximation result is obtained for the vector Harper operator (and more generally for a large class of operators) which states that when the group is amenable, the spectral density function can be approximated by the average spectral density functions of finite approximations to the operator with arbitrary boundary conditions.|
|Dissertation Note:||Thesis (Ph.D.)--University of Adelaide, Dept. of Pure Mathematics, 2002|
|Description:||Includes copies of articles co-authored by the author in the appendix.|
Bibliography: leaves 61-63.
v, 131 leaves : ill. ; 30 cm.
|Provenance:||Copyright material removed from digital thesis. See print copy in University of Adelaide Library for full text.|
This electronic version is made publicly available by the University of Adelaide in accordance with its open access policy for student theses. Copyright in this thesis remains with the author. This thesis may incorporate third party material which has been used by the author pursuant to Fair Dealing exception. If you are the author of this thesis and do not wish it to be made publicly available or If you are the owner of any included third party copyright material you wish to be removed from this electronic version, please complete the take down form located at: http://www.adelaide.edu.au/legals
|Appears in Collections:||Research Theses|
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|02whole.pdf||2.97 MB||Adobe PDF||View/Open|
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