Finite-dimensional approximations of operators in the Hilbert spaces of functions on locally compact Abelian groups

DOI10.1023/A:1006457731833zbMath1019.47020MaRDI QIDQ5937954

Andrei Yu. Khrennikov, E. I. Gordon, Sergio A. Albeverio

Publication date: 24 September 2001

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

zbMATH Keywords

Schrödinger operatorfinite-dimensional approximationlocally compact Abelian groupsp-adic numbers

Mathematics Subject Classification ID

Linear operator approximation theory (47A58) Nonstandard operator theory (47S20)

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On eigenvectors, approximations and the Feynman propagator ⋮ Finite approximations of physical models over local fields ⋮ Brownian motion and finite approximations of quantum systems over local fields ⋮ Estimates of certain exit probabilities for \(p\)-adic Brownian bridges ⋮ On infinitesimal generators and Feynman–Kac integrals of adelic diffusion ⋮ Finite approximations of physical models over \(p\)-adic fields ⋮ Matrix-valued Schrödinger operators over local fields ⋮ On approximation of locally compact groups by finite algebraic systems ⋮ SCHRÖDINGER OPERATORS ON LOCAL FIELDS: SELF-ADJOINTNESS AND PATH INTEGRAL REPRESENTATIONS FOR PROPAGATORS ⋮ Matrix representations of multidimensional integral and ergodic operators ⋮ A review of finite approximations, Archimedean and non-Archimedean ⋮ Gordon's Conjecture 3: Fourier transforms in the hyperfinite setting

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