Displaying similar documents to “Remark on Dirichlet series satisfying functional equations.”

Examples of non-local time dependent or parabolic Dirichlet spaces

Niels Jacob (1993)

Colloquium Mathematicae

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In [23] M. Pierre introduced parabolic Dirichlet spaces. Such spaces are obtained by considering certain families ( E ( τ ) ) τ ∈ ℝ of Dirichlet forms. He developed a rather far-reaching and general potential theory for these spaces. In particular, he introduced associated capacities and investigated the notion of related quasi-continuous functions. However, the only examples given by M. Pierre in [23] (see also [22]) are Dirichlet forms arising from strongly parabolic differential operators of second...

The Dirichlet space: a survey.

Arcozzi, Nicola, Rochberg, Richard, Sawyer, Eric T., Wick, Brett D. (2011)

The New York Journal of Mathematics [electronic only]

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The variational approach to the Dirichlet problem in C*-algebras

Fabio Cipriani (1998)

Banach Center Publications

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The aim of this work is to develop the variational approach to the Dirichlet problem for generators of sub-Markovian semigroups on C*-algebras. KMS symmetry and the KMS condition allow the introduction of the notion of weak solution of the Dirichlet problem. We will then show that a unique weak solution always exists and that a generalized maximum principle holds true.