Upper bounds on the number of resonances for non-compact Riemann surfaces
From MaRDI portal
Publication:1891830
DOI10.1006/jfan.1995.1055zbMath0841.58063OpenAlexW2056996244MaRDI QIDQ1891830
Maciej Zworski, Laurent Guillopé
Publication date: 31 July 1995
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jfan.1995.1055
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)
Related Items
Explicit spectral gaps for random covers of Riemann surfaces, Symmetry reduction of holomorphic iterated function schemes and factorization of Selberg zeta functions, Remarks on the spectrum and truncated heat kernel of the BTZ black hole, Resonances on Some Geometrically Finite Hyperbolic Manifolds, Resonances and density bounds for convex co-compact congruence subgroups of \(\mathrm{SL}_2(\mathbb Z)\), Fractal Weyl laws for asymptotically hyperbolic manifolds, Density of resonances for covers of Schottky surfaces, THE RENORMALIZED VOLUME AND UNIFORMIZATION OF CONFORMAL STRUCTURES, Large degree covers and sharp resonances of hyperbolic surfaces, Near optimal spectral gaps for hyperbolic surfaces, Residue representations -- the rank one case, Group actions and harmonic analysis in number theory. Abstracts from the workshop held May 7--12, 2023, On the critical line of convex co-compact hyperbolic surfaces, Classical and quantum resonances for hyperbolic surfaces, Determinants of Laplacians and isopolar metrics on surfaces of infinite area., Upper and Lower Bounds on Resonances for Manifolds Hyperbolic Near Infinity, Density and location of resonances for convex co-compact hyperbolic surfaces, Relatively Isospectral Noncompact Surfaces, Scattering poles for asymptotically hyperbolic manifolds, Distribution of Resonances for Hyperbolic Surfaces, Truncated heat kernel and one-loop determinants for the BTZ geometry, On the spectral theory and dynamics of asymptotically hyperbolic manifolds, Weyl asymptotics for the Laplacian on manifolds with asymptotically cusp ends, Isoscattering deformations for complete manifolds of negative curvature, Sharp Bounds on the Number of Resonances for Conformally Compact Manifolds with Constant Negative Curvature Near Infinity, Wave decay on convex co-compact hyperbolic manifolds, Numerical resonances for Schottky surfaces via Lagrange–Chebyshev approximation, A Zeta Function for the BTZ Black Hole, Meromorphic properties of the resolvent on asymptotically hyperbolic manifolds, Remainder formula and zeta expression for extremal CFT partition functions, Polyakov's formulation of \(2d\) bosonic string theory, The divisor of Selberg's zeta function for Kleinian groups. Appendix A by Charles Epstein, Inverse scattering on asymptotically hyperbolic manifolds., Resonance chains and geometric limits on Schottky surfaces, Compactness of relatively isospectral sets of surfaces via conformal surgeries, UNIFORM ESTIMATES OF THE RESOLVENT OF THE LAPLACE –BELTRAMI OPERATOR ON INFINITE VOLUME RIEMANNIAN MANIFOLDS WITH CUSPS, Pointwise dispersive estimates for Schrödinger operators on product cones
