The spectral matrices of Toda solitons and the fundamental solution of some discrete heat equations.

DOI10.5802/aif.2140zbMath1078.35101OpenAlexW1767046737MaRDI QIDQ2574186

Luc Haine

Publication date: 18 November 2005

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2005__55_6_1765_0

zbMATH Keywords

heat kernelToda lattice hierarchyJackson's \(q\)-Bessel functionsdiscrete heat equations

Mathematics Subject Classification ID

Soliton equations (35Q51) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Difference equations, scaling ((q)-differences) (39A13) Lattice dynamics; integrable lattice equations (37K60)

Related Items (6)

Harmonic analysis associated with a discrete Laplacian ⋮ Higher-order heat equation and the Gelfand-Dickey hierarchy ⋮ Lattice Dynamical Systems Associated with a Fractional Laplacian ⋮ The Lagnese-Stellmacher potentials revisited ⋮ On the heat kernel and the Korteweg-de Vries hierarchy. ⋮ Finite heat kernel expansions on the real line

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