On the sup-norm of SL(3) Hecke-Maass cusp forms

zbMath1459.11119arXiv1404.3622MaRDI QIDQ5133736

Roman Holowinsky, Kevin Nowland, Emmanuel Royer, Guillaume Ricotta

Publication date: 10 November 2020

Full work available at URL: https://arxiv.org/abs/1404.3622

zbMATH Keywords

Paley-Wiener theoremsup-normautomorphic formsspherical functionamplification methodpre-trace formulahelgason transform

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Diophantine inequalities (11D75) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Analysis on other specific Lie groups (43A80) Harmonic analysis and spherical functions (43A90) Hecke-Petersson operators, differential operators (several variables) (11F60) Quadratic forms (reduction theory, extreme forms, etc.) (11H55)

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