Infinite-dimensional Lie Algebras, Representations, Hermitian Duality and the Operators of Stochastic Calculus

Infinite-dimensional Lie Algebras, Representations, Hermitian Duality and the Operators of Stochastic Calculus

We study densely defined unbounded operators acting between different Hilbert spaces. For these, we introduce a notion of symmetric (closable) pairs of operators. The purpose of our paper is to give applications to selected themes at the cross road of operator commutation relations and stochastic ca...

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Bibliographic Details
Main Authors: Palle Jorgensen, Feng Tian
Format: Article
Language:English
Published: MDPI AG 2016-05-01
Series:Axioms
Subjects:
canonical commutation relations
representations
unbounded operators
closable operator
unbounded derivations
spectral theory
duality
Gaussian fields
probability space
stochastic processes
discrete time
path-space measure
stochastic calculus
Online Access:http://www.mdpi.com/2075-1680/5/2/12

Internet

http://www.mdpi.com/2075-1680/5/2/12

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