- Library Home /
- Search Collections /
- Open Collections /
- Browse Collections /
- UBC Theses and Dissertations /
- Sup-norm problem of certain eigenfunctions on arithmetic...
Open Collections
UBC Theses and Dissertations
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
|
| Creator | |
| Publisher |
University of British Columbia
|
| Date Issued |
2015
|
| 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.
|
| Genre | |
| Type | |
| Language |
eng
|
| Date Available |
2015-04-15
|
| Provider |
Vancouver : University of British Columbia Library
|
| Rights |
Attribution-NonCommercial-NoDerivs 2.5 Canada
|
| DOI |
10.14288/1.0167178
|
| URI | |
| Degree (Theses) | |
| Program (Theses) | |
| Affiliation | |
| Degree Grantor |
University of British Columbia
|
| Graduation Date |
2015-05
|
| Campus | |
| Scholarly Level |
Graduate
|
| Rights URI | |
| Aggregated Source Repository |
DSpace
|
Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivs 2.5 Canada