Selberg's trace formula for automorphic Schrödinger operators

DOI10.1007/BF01079589zbMath0729.11025OpenAlexW2008158563MaRDI QIDQ805656

Alexei Venkov

Publication date: 1991

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01079589

zbMATH Keywords

resolventresolvent kernelSelberg trace formulascattering matrixeigenfunction expansionautomorphic Schrödinger operatorzeta-function of Selberg's type

Mathematics Subject Classification ID

Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Other Dirichlet series and zeta functions (11M41) Holomorphic modular forms of integral weight (11F11) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (2)

The Trace Formula for Schrödinger Operators from Infinite Dimensional Oscillatory Integrals ⋮ The trace formula for a point scatterer on a compact hyperbolic surface

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