no. 6
On the heat kernel and the Korteweg--de Vries hierarchy
[Sur le noyau de la chaleur et la hiérarchie de Korteweg-de Vries]
Iliev, Plamen1
1 Georgia Institute of Technology, school of mathematics, Atlanta GA 30332-0160 (USA)
Annales de l'Institut Fourier, Tome 55 (2005) no. 6, pp. 2117-2127.

Nous donnons des formules explicites pour les coefficients d'Hadamard en termes de la fonction tau de la hiérarchie de Korteweg-de Vries. A partir de cette formule nous pouvons facilement démontrer les propriétés de ces coefficients.

We give explicit formulas for Hadamard's coefficients in terms of the tau-function of the Korteweg-de Vries hierarchy. We show that some of the basic properties of these coefficients can be easily derived from these formulas.

DOI : 10.5802/aif.2154
Classification : 35Q53, 35K05, 37K10
Keywords: Heat kernel expansions, KdV hierarchy, tau functions
Mot clés : Noyau de la chaleur, hiérarchie de KdV, fonctions tau
Iliev, Plamen 1

1 Georgia Institute of Technology, school of mathematics, Atlanta GA 30332-0160 (USA) 
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Iliev, Plamen. On the heat kernel and the Korteweg--de Vries hierarchy. Annales de l'Institut Fourier, Tome 55 (2005) no. 6, pp. 2117-2127. doi : 10.5802/aif.2154. http://www.numdam.org/articles/10.5802/aif.2154/

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