New models for the action of Hecke operators in spaces of Maass wave forms

DOI10.5802/aif.2316zbMath1215.11055arXivmath/0702480OpenAlexW1495738580MaRDI QIDQ2466302

Ian Kiming

Publication date: 14 January 2008

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0702480

zbMATH Keywords

Hecke operatorsPoisson transformHecke eigenvaluesMaass wave forms

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Langlands-Weil conjectures, nonabelian class field theory (11R39)

Cites Work

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• Fuchsian groups of the second kind and representations carried by the limit set
• Über eine neue Art von nichtanalytischen automorphen Funktionen und die Bestimmung Dirichletscher Reihen durch Funktionalgleichungen. (On a new type of nonanalytic automorphic functions and the determination of Dirichlet series by functional equations)

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