Convergence of the normalized spectral counting function on degenerating hyperbolic Riemann surfaces of finite volume
The authors study the spectral asymptotics of degenerating families of hyperbolic Riemann surfaces, either compact or non-compact but always of finite volume. They prove that the second integral of the spectral counting function has an asymptotic expansion out to \(O(l)\), where \(l\) is the degenerate parameter.
degenerating hyperbolic Riemann surfaces
scientific article; zbMATH DE number 1078490
scientific article