Uniqueness Theorems for Gaussian Measures in lq, 1<..q<... .
Werner Linde (1988)
Mathematische Zeitschrift
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Werner Linde (1988)
Mathematische Zeitschrift
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S. Mitrović (1984)
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Roger A. Horn (1977)
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Egbert Dettweiler (1977)
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Nikolay Tzvetkov, Nicola Visciglia (2013)
Annales scientifiques de l'École Normale Supérieure
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Inspired by the work of Zhidkov on the KdV equation, we perform a construction of weighted Gaussian measures associated to the higher order conservation laws of the Benjamin-Ono equation. The resulting measures are supported by Sobolev spaces of increasing regularity. We also prove a property on the support of these measures leading to the conjecture that they are indeed invariant by the flow of the Benjamin-Ono equation.
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P.J. Fitzsimmons, R.K. Getoor (1991)
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James K. Brooks, Paul W. Lewis (1975)
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M. Talagrand (1996)
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Lewis, Thomas M., Pritchard, Geoffrey (1999)
Electronic Communications in Probability [electronic only]
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