On the local \(L^2\)-bound of the Eisenstein series
From MaRDI portal
Publication:6603919
DOI10.1017/fms.2024.59MaRDI QIDQ6603919
Publication date: 12 September 2024
Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)
Representation-theoretic methods; automorphic representations over local and global fields (11F70) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the spectral side of the Arthur trace formula
- On the spectral side of Arthur's trace formula -- absolute convergence
- On the spectral side of Arthur's trace formula -- combinatorial setup
- Subconvexity for sup-norms of cusp forms on \(\mathrm{PGL}(n)\)
- Existence and Weyl's law for spherical cusp forms
- Weyl's law for the cuspidal spectrum of \(\mathrm{SL}(n)\)
- On the inner product of truncated Eisenstein series
- Concerning the \(L^ p\) norm of spectral clusters for second-order elliptic operators on compact manifolds
- Spectra of compact locally symmetric manifolds of negative curvature
- Conducteur des représentations du groupe linéaire
- The trace formula in invariant form
- Bounds for multiplicities of automorphic representations
- Density of integer points on affine homogeneous varieties
- The residual spectrum of the group of type \(G_ 2\)
- Cubic unipotent Arthur parameters and multiplicities of square integrable automorphic forms
- On the singularities of residual intertwining operators
- Best possible rates of distribution of dense lattice orbits in homogeneous spaces
- Large values of cusp forms on \(\mathrm{GL}_n\)
- On the remainder term of the Weyl law for congruence subgroups of Chevalley groups
- Spectral asymptotics for arithmetic quotients of \(\text{SL}(n,{\mathbb R})/\text{SO}(n)\)
- On the analytic properties of intertwining operators. II: Local degree bounds and limit multiplicities
- Quantum unique ergodicity of degenerate Eisenstein series on \(\mathrm{GL}(n)\)
- On the Plancherel formula and the Paley-Wiener theorem for spherical functions on semisimple Lie groups
- Optimal lifting for the projective action of \(\mathrm{SL}_3(\mathbb{Z})\)
- On the existence and temperedness of cusp forms for SL3(Z)
- The Residual Spectrum ofG2
- On a Family of Distributions Obtained from Eisenstein Series I: Application of the Paley-Wiener Theorem
- Le spectre résiduel de ${\rm GL}(n)$
- The square mean of Dirichlet series associated with cusp forms
- On the analytic properties of intertwining operators I: global normalizing factors
- Lifting, restricting and sifting integral points on affine homogeneous varieties
- Quantitative ergodic theorems and their number-theoretic applications
- On a Family of Distributions Obtained from Eisenstein Series II: Explicit Formulas
- EPSTEIN ZETA-FUNCTIONS, SUBCONVEXITY, AND THE PURITY CONJECTURE
- LIMIT MULTIPLICITIES FOR PRINCIPAL CONGRUENCE SUBGROUPS OF AND
- ON THE FINE SPECTRAL EXPANSION OF JACQUET’S RELATIVE TRACE FORMULA
- Optimal Diophantine exponents for \(\mathrm{SL}(n)\)
- On Sarnak’s Density Conjecture and Its Applications
This page was built for publication: On the local \(L^2\)-bound of the Eisenstein series