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Dirichlet Forms Associated with Linear Diffusions
Authors:Xing FANG  Ping HE and Jiangang YING
Institution:1. Department of Mathematics,Zhejiang University of Technology,Hangzhou 310014,China
2. Department of Mathematics,Shanghai University of Finance and Economics,Shanghai 200433,China
3. School of Mathernatical Sciences,Fudan University,Shanghai 200433,China
Abstract:One-dimensional local Dirichlet spaces associated with linear diffusions are studied. The first result is to give a representation for any 1-dim local, irreducible and regular Dirichlet space. The second result is a necessary and sufficient condition for a Dirichlet space to be regular subspace of another Dirichlet space.
Keywords:Symmetrizing measure  Linear diffusion  Dirichlet space  Regular subspace
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