The Langlands Spectral Decomposition

DOI10.1017/9781108591218.018zbMath1500.11045arXiv2001.00790OpenAlexW2997343397MaRDI QIDQ5018474

Jean-Pierre Labesse

Publication date: 16 December 2021

Full work available at URL: https://arxiv.org/abs/2001.00790

zbMATH Keywords

intertwining operatorEisenstein seriesrepresentation theorytrace formulaspectral decompositionmeromorphic continuationreductive groupanalytical continuationautomorphic formcusp formarithmetic subgroupparabolic subgroupconstant termtruncation operatorautomorphic function

Mathematics Subject Classification ID

Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

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