Spectral Asymptotics for Spinor Laplacians and Multiplicities

DOI10.2307/2046490zbMath0621.22015OpenAlexW4241931233MaRDI QIDQ3758137

Henri Moscovici

Publication date: 1987

Full work available at URL: https://doi.org/10.2307/2046490

zbMATH Keywords

discrete subgroupsspectral asymptoticsconnected semisimple Lie groupmultiplicities of representationsspinor Laplacian

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Semisimple Lie groups and their representations (22E46)

Cites Work

• \(L^ 2\)-index and the Selberg trace formula
• Pseudodifferential operators on supermanifolds and the Atiyah-Singer index theorem
• A short proof of the local Atiyah-Singer index theorem
• Alternating sum formulas for multiplicities in \(L^ 2(\Gamma-G)\). II
• An asymptotic formula of Gelfand and Gangolli for the spectrum of \(\Gamma\setminus G\)
• Dirac operator and the discrete series
• The Minakshisundaram-Pleijel Coefficients for the Vector Valued Heat Kernel on Compact Locally Symmetric Spaces of Negative Curvature

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