On selfadjoint extensions of some difference operator

DOI10.1090/S1061-0022-06-00898-3zbMath1110.47024OpenAlexW1485202367MaRDI QIDQ5481296

Rinat M. Kashaev

Publication date: 9 August 2006

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1061-0022-06-00898-3

zbMATH Keywords

Heisenberg commutation relationself-adjoint extensionspectral resolutiondiscrete Liouville equation

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Linear symmetric and selfadjoint operators (unbounded) (47B25) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Difference operators (39A70) Linear difference operators (47B39)

Cites Work

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• Quantization of Teichmüller spaces and the quantum dilogarithm
• Discrete Heisenberg-Weyl group and modular group
• Liouville theory revisited
• QUANTUM EXPONENTIAL FUNCTION
• A quantum Teichmüller space

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