On the heat kernel and the Korteweg--de Vries hierarchy
Annales de l'Institut Fourier, Volume 55 (2005) no. 6, p. 2117-2127

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.

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.

DOI : https://doi.org/10.5802/aif.2154
Classification:  35Q53,  35K05,  37K10
Keywords: Heat kernel expansions, KdV hierarchy, tau functions
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     author = {Iliev, Plamen},
     title = {On the heat kernel and the Korteweg--de Vries hierarchy},
     journal = {Annales de l'Institut Fourier},
     publisher = {Association des Annales de l'institut Fourier},
     volume = {55},
     number = {6},
     year = {2005},
     pages = {2117-2127},
     doi = {10.5802/aif.2154},
     zbl = {1078.35103},
     mrnumber = {2187948},
     language = {en},
     url = {http://www.numdam.org/item/AIF_2005__55_6_2117_0}
}
Iliev, Plamen. On the heat kernel and the Korteweg--de Vries hierarchy. Annales de l'Institut Fourier, Volume 55 (2005) no. 6, pp. 2117-2127. doi : 10.5802/aif.2154. http://www.numdam.org/item/AIF_2005__55_6_2117_0/

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