Dirichlet forms on symmetric spaces

Christian Berg

Displaying similar documents to “Dirichlet forms on symmetric spaces”

(Nonsymmetric) Dirichlet operators on $L^{1}$ : existence, uniqueness and associated Markov processes

Wilhelm Stannat (1999)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Similarity:

Characterization of the domain of an elliptic operator of infinitely many variables in $L^{2} (μ)$ spaces

Giuseppe Da Prato (1997)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Similarity:

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 $W^{2, 2} (μ)$ , where $m u$ 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

Similarity:

It is shown that in the Dirichlet space , two invariant subspaces ℳ ₁, ℳ ₂ of the Dirichlet shift $M_{z}$ are unitarily equivalent only if ℳ ₁ = ℳ ₂.

On the representation of Dirichlet forms

Lars-Erik Andersson (1975)

Annales de l'institut Fourier

Similarity:

A general representation theorem is obtained for positive quadratic forms, defined on $C_{00}^{1} (Ω)$ (the space of continuously differentiable functions with compact support contained in $Ω \subset R^{n}$ ) which are local and on which all normal contractions operate.

Dirichlet problem for a linear elliptic equation in unbounded domains with $L^{2}$ -boundary data

J. Chabrowski (1984)

Rendiconti del Seminario Matematico della Università di Padova

Similarity:

Continuous measures on compact Lie groups

M. Anoussis, A. Bisbas (2000)

Annales de l'institut Fourier

Similarity:

We study continuous measures on a compact semisimple Lie group $G$ using representation theory. In Section 2 we prove a Wiener type characterization of a continuous measure. Next we construct central measures on $G$ which are related to the well known Riesz products on locally compact abelian groups. Using these measures we show in Section 3 that if $C$ is a compact set of continuous measures on $G$ there exists a singular measure $ν$ such that $ν * μ$ 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

Similarity:

We are interested in permutations preserving certain distribution properties of sequences. In particular we consider $μ$ -uniformly distributed sequences on a compact metric space $X$ , 0-1 sequences with densities, and Cesàro summable bounded sequences. It is shown that the maximal subgroups, respectively subsemigroups, of $A u t (N)$ leaving any of the above spaces invariant coincide. A subgroup of these permutation groups, which can be determined explicitly, is the Lévy group $𝒢$ . We show that $𝒢$ is...

Displaying similar documents to “Dirichlet forms on symmetric spaces”

(Nonsymmetric) Dirichlet operators on L 1 : existence, uniqueness and associated Markov processes

Characterization of the domain of an elliptic operator of infinitely many variables in L 2 ⁢ μ spaces

On unitary equivalence of invariant subspaces of the Dirichlet space

On the representation of Dirichlet forms

Dirichlet problem for a linear elliptic equation in unbounded domains with L 2 -boundary data

Continuous measures on compact Lie groups

Permutations preserving Cesàro mean, densities of natural numbers and uniform distribution of sequences

(Nonsymmetric) Dirichlet operators on $L^{1}$ : existence, uniqueness and associated Markov processes

Characterization of the domain of an elliptic operator of infinitely many variables in $L^{2} (μ)$ spaces

Dirichlet problem for a linear elliptic equation in unbounded domains with $L^{2}$ -boundary data