(Nonsymmetric) Dirichlet operators on : existence, uniqueness and associated Markov processes
Wilhelm Stannat (1999)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Displaying similar documents to “Dirichlet forms on symmetric spaces”
(Nonsymmetric) Dirichlet operators on : existence, uniqueness and associated Markov processes
Characterization of the domain of an elliptic operator of infinitely many variables in spaces
Giuseppe Da Prato (1997)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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We consider an elliptic operator associated to a Dirichlet form corresponding to a differential stochastic equation of potential form. We characterize the domain of the operator as a subspace of , where is the invariant measure of the differential stochastic equation.
On unitary equivalence of invariant subspaces of the Dirichlet space
Kunyu Guo, Liankuo Zhao (2010)
Studia Mathematica
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It is shown that in the Dirichlet space , two invariant subspaces ℳ ₁, ℳ ₂ of the Dirichlet shift are unitarily equivalent only if ℳ ₁ = ℳ ₂.
On the representation of Dirichlet forms
Lars-Erik Andersson (1975)
Annales de l'institut Fourier
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A general representation theorem is obtained for positive quadratic forms, defined on (the space of continuously differentiable functions with compact support contained in ) which are local and on which all normal contractions operate.
Dirichlet problem for a linear elliptic equation in unbounded domains with -boundary data
J. Chabrowski (1984)
Rendiconti del Seminario Matematico della Università di Padova
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Continuous measures on compact Lie groups
M. Anoussis, A. Bisbas (2000)
Annales de l'institut Fourier
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We study continuous measures on a compact semisimple Lie group using representation theory. In Section 2 we prove a Wiener type characterization of a continuous measure. Next we construct central measures on which are related to the well known Riesz products on locally compact abelian groups. Using these measures we show in Section 3 that if is a compact set of continuous measures on there exists a singular measure such that is absolutely continuous with respect to the Haar...
Permutations preserving Cesàro mean, densities of natural numbers and uniform distribution of sequences
M. Blümlinger, N. Obata (1991)
Annales de l'institut Fourier
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We are interested in permutations preserving certain distribution properties of sequences. In particular we consider -uniformly distributed sequences on a compact metric space , 0-1 sequences with densities, and Cesàro summable bounded sequences. It is shown that the maximal subgroups, respectively subsemigroups, of leaving any of the above spaces invariant coincide. A subgroup of these permutation groups, which can be determined explicitly, is the Lévy group . We show that is...