Integrable system of the heat kernel associated with logarithmic potentials

Aomoto, Kazuhiko

Annales Polonici Mathematici, Tome 75 (2000), p. 51-64 / Harvested from The Polish Digital Mathematics Library

Résumé

The heat kernel of a Sturm-Liouville operator with logarithmic potential can be described by using the Wiener integral associated with a real hyperplane arrangement. The heat kernel satisfies an infinite-dimensional analog of the Gauss-Manin connection (integrable system), generalizing a variational formula of Schläfli for the volume of a simplex in the space of constant curvature.

Publié le : 2000-01-01

Zbl 0981.58021

EUDML-ID : urn:eudml:doc:208376

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     title = {Integrable system of the heat kernel associated with logarithmic potentials},
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     year = {2000},
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Aomoto, Kazuhiko. Integrable system of the heat kernel associated with logarithmic potentials. Annales Polonici Mathematici, Tome 75 (2000) pp. 51-64. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv74z1p51bwm/

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