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Displaying similar documents to “Expansions of distributions in terms of generalized heat polynomials and their Appell transforms.”

On the heat kernel and the Korteweg--de Vries hierarchy

Plamen Iliev (2005)

Annales de l’institut Fourier

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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.