Blomer, ValentinMichel, Philippe2013-10-012013-10-012013-10-01201310.1017/S1474748012000874https://infoscience.epfl.ch/handle/20.500.14299/95509WOS:000323722200002We prove upper bounds for Hecke-Laplace eigenfunctions on certain Riemannian manifolds X of arithmetic type, uniformly in the eigenvalue and the volume of the manifold. The manifolds under consideration are d-fold products of 2-spheres or 3-spheres, realized as adelic quotients of quaternion algebras over totally real number fields. In the volume aspect we prove a ('Weyl-type') saving of vol (X)(-1/6+epsilon).definite quaternion algebrastrace formulasup-normshybrid boundsnorm formsspherical harmonicstext::journal::journal article::research article