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Algebraic Structure on Dirichlet Spaces

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Abstract

In this short note, we shall give a few equivalent conditions for a closed form to be Markovian, and prove that the closure of a sub–algebra of bounded functions in a Dirichlet space must be Markovian. We also study the regular representation of Dirichlet spaces and the classification of Dirichlet subspaces.

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Correspondence to Xing Fang.

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Research supported in part by National Science Foundation of China (No. 10271109)

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Fang, X., He, P. & Ying, J.G. Algebraic Structure on Dirichlet Spaces. Acta Math Sinica 22, 723–728 (2006). https://doi.org/10.1007/s10114-005-0583-8

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  • DOI: https://doi.org/10.1007/s10114-005-0583-8

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