Generalized eigenfunction expansions for spectral multiplicity one and application in analytic number theory

DOI10.1216/RMJ-2010-40-1-243zbMath1204.47024MaRDI QIDQ968585

Mayumi Sakata, Robert M. Kauffman

Publication date: 5 May 2010

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

modular groupeigenfunction expansionHecke operatorgeneralized eigenprojection

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) General theory of ordinary differential operators (47E05) Hecke-Petersson operators, differential operators (one variable) (11F25) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Cites Work

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• Expansions in generalized eigenfunctions of selfadjoint operators
• Finite eigenfunction approximations for continuous spectrum operators
• On eigenfunction expansions and scattering theory
• Schrödinger semigroups
• Discreteness of Some Continuous Spectrum Eigenfunction Expansions
• Eigenfunction expansions for generators of Dirichlet forms

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