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UBC Theses and Dissertations
Sup-norm problem of certain eigenfunctions on arithmetic hyperbolic manifolds Jana, Subhajit
Abstract
We prove a power saving over the local bound for the L∞ norm of uniformly non- tempered Hecke-Maass forms on arithmetic hyperbolic manifolds of dimension 4 and 5. We use accidental isomorphism and use the Hecke theory of the correspond- ing groups to show that if the automorphic form is non-tempered at positive density of finite places then the Hecke eigenvalues are large; amplifying the saving coming from the non temperedness we get a power saving.
Item Metadata
| Title |
Sup-norm problem of certain eigenfunctions on arithmetic hyperbolic manifolds
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| Creator | |
| Publisher |
University of British Columbia
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| Date Issued |
2015
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| Description |
We prove a power saving over the local bound for the L∞ norm of uniformly non-
tempered Hecke-Maass forms on arithmetic hyperbolic manifolds of dimension 4
and 5. We use accidental isomorphism and use the Hecke theory of the correspond-
ing groups to show that if the automorphic form is non-tempered at positive density
of finite places then the Hecke eigenvalues are large; amplifying the saving coming
from the non temperedness we get a power saving.
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| Genre | |
| Type | |
| Language |
eng
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| Date Available |
2015-04-15
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| Provider |
Vancouver : University of British Columbia Library
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| Rights |
Attribution-NonCommercial-NoDerivs 2.5 Canada
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| DOI |
10.14288/1.0167178
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| URI | |
| Degree | |
| Program | |
| Affiliation | |
| Degree Grantor |
University of British Columbia
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| Graduation Date |
2015-05
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| Campus | |
| Scholarly Level |
Graduate
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| Rights URI | |
| Aggregated Source Repository |
DSpace
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Rights
Attribution-NonCommercial-NoDerivs 2.5 Canada