Ground states for nonlocal Schrödinger type operators on locally compact abelian groups

DOI10.4171/JST/319zbMath1476.35103arXiv1807.09491OpenAlexW3092769985MaRDI QIDQ2662232

Anatoly N. Kochubei, Yuri G. Kondratiev

Publication date: 9 April 2021

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.09491

zbMATH Keywords

ground statelocally compact abelian grouprecurrent random walkfield of \(p\)-adic numbersoperators of Schrödinger type

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Integral operators (45P05) Analysis on specific locally compact and other abelian groups (43A70)

Cites Work

• Additive functionals of a Markov process
• Spectral analysis of non-local Schrödinger operators
• Meromorphic families of compact operators
• Potential theory of random wlaks on Abelian groups
• Fourier Analysis on Local Fields. (MN-15)
• Ultrametric Pseudodifferential Equations and Applications
• On ground state of some non local Schrödinger operators
• Resolvent bounds for jump generators
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