Differential calculus for Dirichlet forms : the measure-valued gradient preserved by image

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dc.creatorBouleau, Nicolas
dc.date2006-10-16
dc.date.accessioned2026-07-07T07:39:45Z
dc.date.available2026-07-07T07:39:45Z
dc.descriptionIn order to develop a differential calculus for error propagation we study local Dirichlet forms on probability spaces with square field operator $Γ$ -- i.e. error structures -- and we are looking for an object related to $Γ$ which is linear and with a good behaviour by images. For this we introduce a new notion called the measure valued gradient which is a randomized square root of $Γ$. The exposition begins with inspecting some natural notions candidate to solve the problem before proposing the measure-valued gradient and proving its satisfactory properties.
dc.identifierhttps://arxiv.org/abs/math/0610485
dc.identifierhttp://arxiv.org/abs/math/0610485
dc.identifierJournal of Functional Analysis 225 (2005) 63-73
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/121570
dc.subjectProbability
dc.subject31C25 65G99 60H07
dc.titleDifferential calculus for Dirichlet forms : the measure-valued gradient preserved by image
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