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

DOI10.1515/form.2005.17.6.1011zbMath1086.31006OpenAlexW2004251910MaRDI QIDQ5716252

Kumi Yasuda, Hiroshi Kaneko

Publication date: 18 January 2006

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/form.2005.17.6.1011

zbMATH Keywords

Markov processesDirichlet formsinfinite extension of a local field

Mathematics Subject Classification ID

Dirichlet forms (31C25) Probabilistic potential theory (60J45) Miscellaneous applications of number theory (11Z05) Algebraic number theory: local fields (11S99) Potentials and capacities on other spaces (31C15)

Related Items

Sobolev space and Dirichlet space associated with symmetric Markov process on a local field ⋮ Besov space and trace theorem on a local field and its application ⋮ \(p\)-adic mathematical physics: the first 30 years ⋮ Removal of potential theoretic exceptional set on the field of \(p\)-adic numbers ⋮ A lift of spatially inhomogeneous Markov process to extensions of the field of \(p\)-adic numbers ⋮ On \(p\)-adic mathematical physics ⋮ Fractal theoretic aspects of local field

Cites Work

• Dirichlet forms and symmetric Markov processes
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