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Capacities associated with Dirichlet space on an infinite extension of a local field
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Hiroshi Kaneko
Published/Copyright:
November 18, 2005
Abstract
We investigate Dirichlet forms in the case that an infinite extension of a local field is given as a state space. Actually, we see the theory of Dirichlet space is applicable to construct Markov processes on the infinite extension. We study non-linear capacities arising from an extensive research into potential theory based on the associated Markov process.
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Published Online: 2005-11-18
Published in Print: 2005-11-18
Walter de Gruyter GmbH & Co. KG
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- Uniform distribution of the fractional part of the average prime divisor
- Analysis of the horizontal Laplacian for the Hopf fibration
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- Topological equivalence of linear representations for cyclic groups: II
- Capacities associated with Dirichlet space on an infinite extension of a local field
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Articles in the same Issue
- Connections on principal bundles over Kähler manifolds with antiholomorphic involution
- Uniform distribution of the fractional part of the average prime divisor
- Analysis of the horizontal Laplacian for the Hopf fibration
- Algebraic inclusions of Moufang polygons
- Topological equivalence of linear representations for cyclic groups: II
- Capacities associated with Dirichlet space on an infinite extension of a local field
- The configuration space of arachnoid mechanisms
