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An explicit formula for the cubic Szegö equation

Abstract : We derive an explicit formula for the general solution of the cubic Szegö equation and of the evolution equation of the corresponding hierarchy. As an application, we prove that all the solutions corresponding to finite rank Hankel operators are quasiperiodic.
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https://hal.archives-ouvertes.fr/hal-00809480
Contributor : Sandrine Grellier Connect in order to contact the contributor
Submitted on : Tuesday, April 9, 2013 - 2:08:27 PM
Last modification on : Tuesday, October 12, 2021 - 5:20:08 PM
Long-term archiving on: : Monday, April 3, 2017 - 2:30:18 AM

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  • HAL Id : hal-00809480, version 1
  • ARXIV : 1304.2619

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Patrick Gérard, Sandrine Grellier. An explicit formula for the cubic Szegö equation. Transactions American Mathematical Society, American Mathematical Society, 2015, 367, pp.2979-2995. ⟨hal-00809480⟩

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