An Alternating Sum Formula for Multiplicities in L 2 (Γ\G)

DOI10.2307/1998467zbMath0482.22009OpenAlexW2320796335MaRDI QIDQ3940013

Roberto J. Miatello

Publication date: 1982

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1998467

zbMATH Keywords

multiplicityheat equationSelberg trace formuladiscrete subgroupregular representationdirect sum decompositionfinite centeralternating sum formulareal rank 1 semisimple Lie group

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Semisimple Lie groups and their representations (22E46) Discrete subgroups of Lie groups (22E40) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Related Items (3)

A refinement of strong multiplicity one for spectra of hyperbolic manifolds ⋮ Alternating sum formulas for multiplicities in \(L^ 2(\Gamma-G)\). II ⋮ Equidistribution of holonomy about closed geodesics

This page was built for publication: An Alternating Sum Formula for Multiplicities in L 2 (Γ\G)