Capacities associated with Dirichlet space on an infinite extension of a local field

Hiroshi Kaneko; Kumi Yasuda

doi:10.1515/form.2005.17.6.1011

Capacities associated with Dirichlet space on an infinite extension of a local field

Hiroshi Kaneko, Kumi Yasuda

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

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
Pages (from-to)	1011-1032
Number of pages	22
Journal	Forum Mathematicum
Volume	17
Issue number	6
DOIs	https://doi.org/10.1515/form.2005.17.6.1011
Publication status	Published - 2005 Nov 18
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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