The Green's function of a five-point discretization of a two-dimensional finite-gap Schrödinger operator: the case of four singular points on the spectral curve

DOI10.1134/S0037446613060049zbMath1287.35004MaRDI QIDQ2436095

B. O. Vasilevskii

Publication date: 21 February 2014

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Green's functiondiscrete operatorM-curvefinite-gap operator

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Green's functions for elliptic equations (35J08)

Related Items (1)

The dressing chain and one-point commuting difference operators of rank 1

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Integrable discrete Schrödinger equations and a characterization of Prym varieties by a pair of quadrisecants
• Algebras of Virasoro type, Riemann surfaces and structures of the theory of solitons
• Rapidly decreasing potentials on a background of finite-zone potentials and the \(\bar\partial\)-problem on Riemann surfaces
• Theta functions on Riemann surfaces
• Integrable lattices and their sublattices: From the discrete Moutard (discrete Cauchy-Riemann) 4-point equation to the self-adjoint 5-point scheme
• NON-LINEAR EQUATIONS OF KORTEWEG-DE VRIES TYPE, FINITE-ZONE LINEAR OPERATORS, AND ABELIAN VARIETIES

This page was built for publication: The Green's function of a five-point discretization of a two-dimensional finite-gap Schrödinger operator: the case of four singular points on the spectral curve