EUDML

Let $G$ be a locally compact group and $K$ a compact subgroup such that the algebra $L^{1} (G)^{♯}$ of biinvariant integrable functions is commutative. We characterize the $G$ -invariant Dirichlet forms on the homogeneous space $G / K$ using harmonic analysis of $L^{1} (G)^{♯}$ . This extends results from Ch. Berg, Séminaire Brelot-Choquet-Deny, Paris, 13e année 1969/70 and J. Deny, Potential theory (C.I.M.E., I ciclo, Stresa), Ed. Cremonese, Rome, 1970. Every non-zero $G$ -invariant Dirichlet form on a symmetric space $G / K$ of non compact type...

Moment problems and polynomial approximation

Christian Berg — 1996

Annales de la Faculté des sciences de Toulouse : Mathématiques

Polynomially Positive Definite Sequences.

Christian Berg; P.H. Maserick — 1982

Mathematische Annalen

Functions with a Finite Number of Negative Squares on Semigroups.

Christian Berg; Zoltán Sasvári — 1989

Monatshefte für Mathematik

Semi-groupes de Feller invariants sur les espaces homogènes non moyennables.

Christian Berg; Jacques Faraut — 1974

Mathematische Zeitschrift

Liouville's operator for a disc in space.

Christian Berg; Bent Fuglede — 1990

Manuscripta mathematica

The resolvent for a convolution kernel satisfying the domination principle

Christian Berg; Jesper Laub — 1979

Bulletin de la Société Mathématique de France

On the Relation between Amenability of Locally Compact Groups and the Norms of Convolution Operators.

Christian Berg; Jens Peter Reuss Christensen — 1974

Mathematische Annalen

Sur la norme des opérateurs de convolution.

Christian Berg; Jens P.R. Christensen — 1974

Inventiones mathematicae

Orthogonal Polynomials, L2-Spaces and Entire Functions.

Christian Berg; Antonio J. Duran — 1996

Mathematica Scandinavica

Density questions in the classical theory of moments

Christian Berg; J. P. Reus Christensen — 1981

Annales de l'institut Fourier

Let $μ$ be a positive Radon measure on the real line having moments of all orders. We prove that the set $P$ of polynomials is note dense in $L^{p} (R, μ)$ for any $p > 2$ , if $μ$ is indeterminate. If $μ$ is determinate, then $P$ is dense in $L^{p} (R, μ)$ for $1 \leq p \leq 2$ , but not necessarily for $p > 2$ . The compact convex set of positive Radon measures with same moments as $μ$ is studied in some details.

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Suites définies négatives et espaces de Dirichlet sur la sphère

On the Support of the Measures in a Symmetric Convolution Semigroup.

Potential Theory on the Infinite Dimensional Torus.

Non-Symmetric Translation Invariant Dirichlet Forms.

Shepard's Approximation Theorem for Convex Bodies and the Milman Theorem.

On the relation between Gaussian measures and convolution semigroups of local type.

Semi-groupes de moments.

Principes duaux en théorie du potentiel

On the potential operators associated with a semigroup

Dirichlet forms on symmetric spaces