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.
Original language | English |
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Pages (from-to) | 1011-1032 |
Number of pages | 22 |
Journal | Forum Mathematicum |
Volume | 17 |
Issue number | 6 |
DOIs | |
Publication status | Published - 2005 Nov 18 |
Externally published | Yes |
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics