Convergence of the normalized spectral counting function on degenerating hyperbolic Riemann surfaces of finite volume

DOI10.1006/jfan.1997.3098zbMath0887.58057OpenAlexW1979763530MaRDI QIDQ1370391

Rolf E. Lundelius, Jay A. Jorgenson

Publication date: 26 October 1997

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1997.3098

zbMATH Keywords

spectral asymptoticsfinite volumespectral counting functiondegenerating hyperbolic Riemann surfaces

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Perturbations of PDEs on manifolds; asymptotics (58J37)

Related Items (6)

On the asymptotic behavior of counting functions associated to degenerating hyperbolic Riemann surfaces ⋮ Asymptotic behavior of the Selberg zeta functions for degenerating families of hyperbolic manifolds ⋮ On the appearance of Eisenstein series through degeneration ⋮ On the spectral expansion of hyperbolic Eisenstein series ⋮ Spectral asymptotics on sequences of elliptically degenerating Riemann surfaces ⋮ Superzeta functions, regularized products, and the Selberg zeta function on hyperbolic manifolds with cusps

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