Brownian sheet and reflectionless potentials

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dc.creatorTaniguchi, Setsuo
dc.date2005-07-12
dc.date.accessioned2026-07-07T06:26:24Z
dc.date.available2026-07-07T06:26:24Z
dc.descriptionThe bijectivity of the mapping, which is represented as expectation, from a family of Gaussian measures parametrized by linear combinations of Dirac measures to the space of classical reflectionless potentials is shown. It is also shown that the bijectivity extends to the space of generalized reflectionless potentials, which was used by V. Marchenko to study the Cauchy problem for the KdV equation. In the extension, the stochastic calculus based on the Brownian sheet plays a key role.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/math/0507229
dc.identifierhttp://arxiv.org/abs/math/0507229
dc.identifierStochastic processes and their applications, 116 (2006), 293-309
dc.identifierdoi:10.1016/j.spa.2005.09.005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/97097
dc.subjectProbability
dc.subject60H30,60B10,34L25
dc.titleBrownian sheet and reflectionless potentials
dc.typetext

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