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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​On the global sup-norm of GL(3) cusp forms​
Blomer, V. ; Harcos, G. & Maga, P.​ (2019) 
Israel Journal of Mathematics229(1) pp. 357​-379​.​ DOI: https://doi.org/10.1007/s11856-018-1805-y 

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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

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