Function Theory Related to the Group PSL2(ℝ)

DOI10.1007/978-1-4614-4075-8_7zbMath1263.22007OpenAlexW181061395MaRDI QIDQ4912517

Don Zagier, John B. Lewis, Roelof Wichert Bruggeman

Publication date: 4 April 2013

Published in: From Fourier Analysis and Number Theory to Radon Transforms and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4614-4075-8_7

zbMATH Keywords

Green's functionsprincipal series representationshyperfunctionshyperbolic Laplace operatorPoisson transformationLaplace eigenfunctionsboundary germsboundary splitting of eigenfunctionstransverse Poisson transformation

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Proceedings, conferences, collections, etc. pertaining to topological groups (22-06) Hyperfunctions (32A45) Representations of Lie and linear algebraic groups over local fields (22E50) Spectral theory; eigenvalue problems on manifolds (58C40) Green's functions for elliptic equations (35J08) Functional analytic lifting theory (46G15)

Related Items (8)

Spectral synthesis on the group of conformal automorphisms of the unit disc ⋮ Period Functions for Maass Wave Forms and Cohomology ⋮ Eigenfunctions of Transfer Operators and Automorphic Forms for Hecke Triangle Groups of Infinite Covolume ⋮ Dynamics of a family of continued fraction maps ⋮ Holomorphic Automorphic Forms and Cohomology ⋮ Torus period coefficients on \(\mathrm{PGL}(2)\) and Dirichlet series ⋮ Converse theorems for automorphic distributions and Maass forms of level \(N\) ⋮ Cotangent sums, quantum modular forms, and the generalized Riemann hypothesis

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