Zeta functions of Selberg's type associated with homogeneous vector bundles
From MaRDI portal
Publication:1075446
zbMath0592.22012MaRDI QIDQ1075446
Publication date: 1985
Published in: Hiroshima Mathematical Journal (Search for Journal in Brave)
functional equationunitary representationSelberg trace formulameromorphic continuationsemisimple Lie groupmultiplicitiesEuler productcanonical connectionhomogeneous vector bundlesconnection LaplacianSelberg-type zeta function
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Semisimple Lie groups and their representations (22E46) Discrete subgroups of Lie groups (22E40) Representation-theoretic methods; automorphic representations over local and global fields (11F70)
Related Items
Zeta functions and periodic orbit theory: A review ⋮ Gamma factors and Plancherel measures ⋮ The zeta functions of Ruelle and Selberg for hyperbolic manifolds with cusps ⋮ Gallagherian PGT on some compact Riemannian manifolds of negative curvature ⋮ Gamma factors for generalized Selberg zeta functions ⋮ The zeta functions of Ruelle and Selberg. I ⋮ Product expansions for zeta functions attached to locally symmetric spaces of higher rank ⋮ Secondary invariants and the singularity of the Ruelle zeta-function in the central critical point ⋮ Analytic torsions for hyperbolic manifolds with cusps ⋮ Multiple sine functions and Selberg zeta functions ⋮ Equidistribution of holonomy about closed geodesics ⋮ Ruelle zeta function for odd dimensional hyperbolic manifolds with cusps ⋮ On The Length Spectra of Simple Regular Periodic Graphs ⋮ A factorization of the Selberg zeta function attached to a rank 1 space form ⋮ The divisor of Selberg's zeta function for Kleinian groups. Appendix A by Charles Epstein ⋮ Casimir effects on Riemann surfaces