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

Hiroshi Kaneko, Kumi Yasuda

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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 languageEnglish
Pages (from-to)1011-1032
Number of pages22
JournalForum Mathematicum
Volume17
Issue number6
DOIs
Publication statusPublished - 2005 Nov 18
Externally publishedYes

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ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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