Relationship between the discrete and resonance spectrum for the Laplace operator on a noncompact hyperbolic Riemann surface
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Publication:2291262
DOI10.1134/S0016266319030055zbMath1436.11057OpenAlexW2981205958WikidataQ127020204 ScholiaQ127020204MaRDI QIDQ2291262
Publication date: 30 January 2020
Published in: Functional Analysis and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0016266319030055
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)
Related Items (2)
Distribution of prime numbers and the discrete spectrum of the Laplace operator ⋮ The discrete spectrum of the Laplace operator on the fundamental domain of the modular group and the Chebyshev psi-function
Cites Work
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- The Selberg trace formula for \(\mathrm{PSL}(2,\mathbb R)\). Vol. I
- Disappearance of cusp forms in special families
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- Spectra of hyperbolic surfaces
- The discrete spectrum of the Laplace operator on the fundamental domain of the modular group and the Chebyshev psi-function
- Nonvanishing of \(L\)-values and the Weyl law
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