Finite heat kernel expansions on the real line

DOI10.1090/S0002-9939-07-08677-7zbMath1121.35124arXivmath-ph/0504046MaRDI QIDQ3430200

Plamen Iliev

Publication date: 21 March 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0504046

zbMATH Keywords

Schrödinger operatorKdV equationbispectral familyHadamard's coefficients

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Heat equation (35K05)

Related Items

Heat trace and functional determinant in one dimension ⋮ Higher-order heat equation and the Gelfand-Dickey hierarchy ⋮ Heat kernel coefficients for two-dimensional Schrödinger operators ⋮ On the heat kernel and the Korteweg-de Vries hierarchy.

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