An infinitesimal object of the hypercomplex system generated by double cosets, and nonlinear differential equations

DOI10.1007/BF01090689zbMath0731.43002OpenAlexW1993056440MaRDI QIDQ807918

G. B. Podkolzin

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1007/bf01090689

zbMATH Keywords

nonlinear differential equationslocally compact groupinfinitesimal algebrahypercomplex systemsAdler schemePoincaré-Birkhoff-Witt type

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Duality theorems for locally compact groups (22D35) Analysis on other specific Lie groups (43A80) Measure algebras on groups, semigroups, etc. (43A10) Structure of group algebras of LCA groups (22B10)

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Cites Work

• On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-deVries type equations
• On the asymptotic behavior of the spectral function of a self adjoint second order differential equation