A Filtration of Wick Algebra and Its Application to Quantum SDEs-中国Betway体育网页登陆

摘要 Afamilyofclosedsnbalgebras,indexedbyR(thesetofrealnumbers),oftheWickalgebraisconstructed.Fundamentalpropertiesoftilefamilyareshownincludingtheincreasingpropertyandtheright-continuity.Thenotionofadaptednesstothefamilyisdefinedforquantumstochasticprocessesintermsofgeneralizedoperators.Theexistenceanduniquenessofsolutionsadaptedtothefamilyisestablishedforquantumstochasticdifferentialequationsintermsofgeneralizedoperators.

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A Filtration of Wick Algebra and Its Application to Quantum SDEs

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