Integration of non-abelian Toda-type chains

DOI10.1007/BF01077968zbMath0712.39006MaRDI QIDQ748770

Michael I. Gekhtman

Publication date: 1990

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

spectral problemsnon-abelian chains of Toda type

Mathematics Subject Classification ID

Additive difference equations (39A10)

Related Items

On generalized spectral functions, the parametrization of block Hankel and block Jacobi matrices, and some root location problems, A study of resolvent set for a class of band operators with matrix elements, Inverse spectral problem for band operators and their sparsity criterion in terms of inverse problem data, Lie algebraic aspects of the finite nonperiodic Toda flows, An inverse spectral problem for a special class of band matrices and Bogoyavlensky lattice, Miura type transform between non-abelian Volterra and Toda lattices and inverse spectral problem for band operators, On the Links between Miura Transformations of Bogoyavlensky Lattices and Inverse Spectral Problems for Band Operators, Qualitative behavior of non-Abelian Toda-like flows, On some issues related to the moment problem for the band matrices with operator elements.

Cites Work

• The nonabelian Toda lattice: Discrete analogue of the matrix Schrödinger spectral problem