Beyond the spherical sup-norm problem
DOI10.1016/j.matpur.2022.09.009OpenAlexW3178476828MaRDI QIDQ2107143
Djordje Milićević, Valentin Blomer, Gergely Harcos, Péter Maga
Publication date: 1 December 2022
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2107.05973
Analysis on real and complex Lie groups (22E30) Diophantine inequalities (11J25) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Harmonic analysis and spherical functions (43A90) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)
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Cites Work
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- Bounds for eigenforms on arithmetic hyperbolic 3-manifolds
- Nodal domains of Maass forms. I
- Hybrid sup-norm bounds for Hecke-Maass cusp forms
- Subconvexity for twisted \(L\)-functions over number fields via shifted convolution sums
- Large values of eigenfunctions on arithmetic hyperbolic 3-manifolds
- Subconvexity for sup-norms of cusp forms on \(\mathrm{PGL}(n)\)
- Whittaker newforms for archimedean representations of GL(2)
- A Paley-Wiener theorem for real reductive groups
- The unitary dual of \(\mathrm{GL}(n)\) over an archimedean field
- Towards a Paley-Wiener theorem for semisimple symmetric spaces
- An analogue of the Paley-Wiener theorem for certain function spaces on SL(2,C)
- The equivariant spectral function of an invariant elliptic operator. \(L^p\)-bounds, caustics, and concentration of eigenfunctions
- Bounding the sup-norm of automorphic forms
- \(L^ \infty\) norms of eigenfunctions of arithmetic surfaces
- On the sup-norm of Maass cusp forms of large level. III
- Subconvex bounds for Hecke-Maass forms on compact arithmetic quotients of semisimple Lie groups
- Sup-norm of Hecke-Laplace eigenforms on \(S^3\)
- The sup-norm problem for GL(2) over number fields
- Hybrid sup-norm bounds for Maass newforms of powerful level
- Analysis in matrix spaces and some new representations of \(SL(N,\mathbb{C})\)
- On the Plancherel formula and the Paley-Wiener theorem for spherical functions on semisimple Lie groups
- Automorphic forms on GL (2)
- Automorphic forms on \(\mathrm{GL}(2)\). Part II
- The sup-norm problem on the Siegel modular space of rank two
- A relation between automorphic representations of ${\rm GL}(2)$ and ${\rm GL}(3)$
- An external approach to unitary representations
- Lower bounds for Maass forms on semisimple groups
- EPSTEIN ZETA-FUNCTIONS, SUBCONVEXITY, AND THE PURITY CONJECTURE
- Real Analysis
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