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
Let be a locally compact group and a compact subgroup such that the algebra of biinvariant integrable functions is commutative. We characterize the -invariant Dirichlet forms on the homogeneous space using harmonic analysis of . 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 -invariant Dirichlet form on a symmetric space of non compact type...
Moment problems and polynomial approximation
Polynomially Positive Definite Sequences.
Functions with a Finite Number of Negative Squares on Semigroups.
Semi-groupes de Feller invariants sur les espaces homogènes non moyennables.
Liouville's operator for a disc in space.
The resolvent for a convolution kernel satisfying the domination principle
On the Relation between Amenability of Locally Compact Groups and the Norms of Convolution Operators.
Sur la norme des opérateurs de convolution.
Orthogonal Polynomials, L2-Spaces and Entire Functions.
Density questions in the classical theory of moments
Let be a positive Radon measure on the real line having moments of all orders. We prove that the set of polynomials is note dense in for any , if is indeterminate. If is determinate, then is dense in for , but not necessarily for . The compact convex set of positive Radon measures with same moments as is studied in some details.
Page 1 Next