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Quadratic variation and energy

Published online by Cambridge University Press:  22 January 2016

S. E. Graversen
Affiliation:
Department of Mathematics Århus University, Ny Munkegade 8000 Århus C, Denmark
M. Rao
Affiliation:
Department of Mathematics Århus University, Ny Munkegade 8000 Århus C, Denmark
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It is well known that the concept of energy has played a fruitful role in potential theory and Markov processes. Cartan’s work [6] led to kernel-free potential theories of Beurling-Deny [2]. Since then many authors have worked on this, M. Fukushima [8], M. Silverstein [16], J. Bliedner [3], Berg-Forst [1], to name some. In these works, however, the main thrust is Hubert space theoretic.

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Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1985