Spectrum of a self-adjoint operator in \(L_ 2(K)\), where \(K\) is a local field; analog of the Feynman-Kac formula

DOI10.1007/BF01016802zbMath0780.47038MaRDI QIDQ684917

R. S. Ismagilov

Publication date: 14 September 1993

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

zbMATH Keywords

Fourier transformself-adjoint operatorparametrixrandom walklocal fieldsymmetric operatorHilbert-Schmidt normalmost inverse operator

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Linear symmetric and selfadjoint operators (unbounded) (47B25) Pseudodifferential and Fourier integral operators on manifolds (58J40) Fourier integral operators applied to PDEs (35S30) Pseudodifferential operators (47G30)

Related Items (6)

\(p\)-adic mathematical physics: the first 30 years ⋮ \(p\)-adic Brownian motion as a limit of discrete time random walks ⋮ Hamiltonian Feynman formulas for equations containing the vladimirov operator with variable coefficients ⋮ Parabolic equations and Markov processes over \(p\)-adic fields ⋮ Asymptotic form of the spectrum of operators associated with \(p\)-adic fields ⋮ On \(p\)-adic mathematical physics

Cites Work

• P-adic Schrödinger-type equation
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