Limit multiplicities of cusp forms
From MaRDI portal
Publication:1120687
DOI10.1007/BF01394147zbMath0673.22003MaRDI QIDQ1120687
Publication date: 1989
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/143648
invariant measurecusp formsdiscrete series representationscocompact discrete subgroupscuspidal spectrumconnected non compact semisimple Lie groupirreducible finite dimensional representationtower of congruence subgroups of finite covolume
Semisimple Lie groups and their representations (22E46) Discrete subgroups of Lie groups (22E40) Structure of modular groups and generalizations; arithmetic groups (11F06)
Related Items (30)
Fourier coefficients of automorphic forms and integrable discrete series ⋮ The dimensions of spaces of Siegel cusp forms of general degree ⋮ THE AUTOMORPHIC COHOMOLOGY AND THE RESIDUAL SPECTRUM OF HERMITIAN GROUPS OF RANK ONE ⋮ On the dimensions of spaces of Siegel modular forms of weight one ⋮ Poincaré series for non-Riemannian locally symmetric spaces ⋮ Endoscopy and Cohomology of a Quasi-Split U(4) ⋮ Asymptotics of Automorphic Spectra and the Trace Formula ⋮ Limit multiplicity for unitary groups and the stable trace formula ⋮ A tower of coverings of quasi-projective varieties ⋮ Répartition asymptotique des valeurs propres de l’opérateur de Hecke 𝑇_𝑝 ⋮ Spectral analysis on pseudo-Riemannian locally symmetric spaces ⋮ Local spectral equidistribution for Siegel modular forms and applications ⋮ Eigenvalues of congruence covers of geometrically finite hyperbolic manifolds ⋮ Characters, \(L^2\)-Betti numbers and an equivariant approximation theorem ⋮ Limit formulas of period integrals for a certain symmetric pair ⋮ Asymptotics of Betti numbers of arithmetic varieties ⋮ On the cohomology of some complex hyperbolic arithmetic 3-manifolds ⋮ Automorphic representations and Lefschetz numbers ⋮ Bounds for multiplicities of unitary representations of cohomological type in spaces of cusp forms ⋮ An explicit growth condition for middle-degree cuspidal cohomology of arithmetically defined quaternionic hyperbolic \(n\)-manifolds ⋮ Strong limit multiplicity for arithmetic hyperbolic surfaces and 3-manifolds ⋮ Asymptotic behavior of supercuspidal representations and Sato-Tate equidistribution for families ⋮ Equivariant Euler-Poincaré characteristic in sheaf cohomology ⋮ Analytic, Reidemeister and homological torsion for congruence three-manifolds ⋮ ENDOSCOPY AND COHOMOLOGY IN A TOWER OF CONGRUENCE MANIFOLDS FOR ⋮ Theta lifting for unitary representations with nonzero cohomology ⋮ Smooth cuspidal automorphic forms and integrable discrete series ⋮ Limit multiplicities for \({\text{SL}}_2(\mathcal{O}_F)\) in \({\text{SL}}_2(\mathbb{R}^{r_1}\oplus\mathbb{C}^{R_2})\) ⋮ LIMIT MULTIPLICITIES FOR PRINCIPAL CONGRUENCE SUBGROUPS OF AND ⋮ Arithmetic lattices and commensurator according to G. A. Margulis
Cites Work
- Unnamed Item
- Unnamed Item
- On limit multiplicities of representations with cohomology in the cuspidal spectrum
- \(L^ 2\)-cohomology of locally symmetric manifolds of finite volume
- \(L^ 2\)-index and the Selberg trace formula
- On arithmetic varieties. II
- On limit multiplicities of discrete series representations in spaces of automorphic forms
- Representations of real reductive Lie groups
- On a theorem of Osborne and Warner. Multiplicities in the cuspidal spectrum
- Limit formulas for multiplicities in \(L^2(\Gamma\setminus G)\)
- Groupes reductifs
This page was built for publication: Limit multiplicities of cusp forms