From Agmon-Kannai expansion to Korteweg-de Vries hierarchy

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We present a new method for computation of the Korteweg-de Vries hierarchy via heat invariants of the 1-dimensional Schrodinger operator. As a result new explicit formulas for the KdV hierarchy are obtained. Our method is based on an asymptotic expansion of resolvent kernels of elliptic operators due to S.Agmon and Y.Kannai.
7 pages, AMS-LaTeX

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Exactly Solvable and Integrable Systems, Mathematical Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/94519

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/solv-int/9905001
 http://arxiv.org/abs/solv-int/9905001

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arXiv