APPROXIMATION OF INFINITE-ZONE POTENTIALS BY FINITE-ZONE POTENTIALS

DOI10.1070/IM1983v020n01ABEH001339zbMath0517.34037OpenAlexW2071577336MaRDI QIDQ3665475

Boris Moiseevich Levitan

Publication date: 1983

Published in: Mathematics of the USSR-Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im1983v020n01abeh001339

zbMATH Keywords

Hill's operatortwo-sheeted Riemann surfacealmost periodic potentialJacobi inversionfinite-zonal potentialapproximation of infinite- zone potentialsuniform approximation of an infinite-zonal almost periodic potential

Mathematics Subject Classification ID

Almost and pseudo-almost periodic solutions to PDEs (35B15) Theoretical approximation in context of PDEs (35A35) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Ordinary differential operators (34L99)

Related Items (10)

Cnoidal waves on Fermi-Pasta-Ulam lattices ⋮ Local spectral properties of reflectionless Jacobi, CMV, and Schrödinger operators ⋮ Spectral properties of a class of reflectionless Schrödinger operators ⋮ The transformation operator for Schrödinger operators on almost periodic infinite-gap backgrounds ⋮ On double eigenvalues of Hill's operator ⋮ SOME REMARKS CONCERNING REFLECTIONLESS STURM–LIOUVILLE POTENTIALS ⋮ The Sturm-Liouville Hierarchy of Evolution Equations II ⋮ On the Camassa-Holm and K-dV hierarchies ⋮ The trace formula for Schrödinger operators on the line ⋮ Some remarks concerning the scattering theory for the Sturm-Liouville operator

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