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

Hiroshi Kaneko, Kumi Yasuda

Research output: Contribution to journal › Article

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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Dirichlet Space
Local Field
Markov Process
Markov processes
Dirichlet Form
Potential Theory
State Space

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Capacities associated with Dirichlet space on an infinite extension of a local field. / Kaneko, Hiroshi; Yasuda, Kumi.

In: Forum Mathematicum, Vol. 17, No. 6, 18.11.2005, p. 1011-1032.

Research output: Contribution to journal › Article

Kaneko, H & Yasuda, K 2005, 'Capacities associated with Dirichlet space on an infinite extension of a local field', Forum Mathematicum, vol. 17, no. 6, pp. 1011-1032. https://doi.org/10.1515/form.2005.17.6.1011
Kaneko H, Yasuda K. Capacities associated with Dirichlet space on an infinite extension of a local field. Forum Mathematicum. 2005 Nov 18;17(6):1011-1032. https://doi.org/10.1515/form.2005.17.6.1011
Kaneko, Hiroshi ; Yasuda, Kumi. / Capacities associated with Dirichlet space on an infinite extension of a local field. In: Forum Mathematicum. 2005 ; Vol. 17, No. 6. pp. 1011-1032.
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