In this paper we take up the classical sup-norm problem for automorphic forms and view it from a new angle. Given a twist minimal automorphic representation π we consider a special small GL₂(Zₚ) -type V in π and prove global sup-norm bounds for an average over an orthonormal basis of V . We achieve a non-trivial saving when the dimension of V grows.
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Edgar Assing (2024) studied this question.
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