Asymptotic form of the spectrum of operators associated with \(p\)-adic fields

DOI10.1007/s11232-014-0176-8zbMath1316.47066OpenAlexW2062110680MaRDI QIDQ2262767

R. S. Ismagilov

Publication date: 16 March 2015

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-014-0176-8

zbMATH Keywords

spectrumFeynman-Kac formula\(p\)-adic fieldasymptotic formoperator trace

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Operator theory over fields other than (mathbb{R}), (mathbb{C}) or the quaternions; non-Archimedean operator theory (47S10)

Cites Work

• Spectrum of a self-adjoint operator in \(L_ 2(K)\), where \(K\) is a local field; analog of the Feynman-Kac formula
• SPECTRAL THEORY INp-ADIC QUANTUM MECHANICS, AND REPRESENTATION THEORY
• Spectral theory of operators in spaces with an indefinite metric. II
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