On the global sup-norm of GL(3) cusp forms
2019 | journal article. A publication with affiliation to the University of Göttingen.
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- Authors
- Blomer, Valentin ; Harcos, Gergely; Maga, Péter
- Abstract
- Let φ be a spherical Hecke–Maaß cusp form on the non-compact space PGL3(ℤ)PGL3(ℝ). We establish various pointwise upper bounds for φ in terms of its Laplace eigenvalue λφ. These imply, for φ arithmetically normalized and tempered at the archimedean place, the bound
- Issue Date
- 2019
- Journal
- Israel Journal of Mathematics
- Organization
- Mathematisches Institut
- ISSN
- 0021-2172; 1565-8511
- Language
- English