Large values of cusp forms on GLn

• Farrell Brumley ^[1] ; Nicolas Templier ^[2]
  1. [1] Paris 13 University

     Paris 13 University

     Arrondissement de Saint-Denis, Francia

     
  2. [2] Cornell University

     Cornell University

     City of Ithaca, Estados Unidos

     
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 26, Nº. 4, 2020
• Idioma: inglés
• DOI: 10.1007/s00029-020-00589-z
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• Resumen

  • We establish the transition behavior of Jacquet–Whittaker functions on split semi-simple Lie groups. As a consequence, we show that for certain finite volume Riemannian manifolds, the local bound for normalized Laplace eigenfunctions does not hold globally.