Generalized moment problem in vector lattices.
Indefinite sequences with a finite order singularity in the complex moment problem.
Instability phenomena for the moment problem
Markov-Krein transform
The Markov-Krein transform maps a positive measure on the real line to a probability measure. It is implicitly defined through an identity linking two holomorphic functions. In this paper an explicit formula is given. Its proof is obtained by considering boundary values of holomorhic functions. This transform appears in several classical questions in analysis and probability theory: Markov moment problem, Dirichlet distributions and processes, orbital measures. An asymptotic property for this transform...
Matrix computation and the theory of moments.
Maximum d'entropie et problème des moments
Moment problem and its application [Abstract of thesis]
Moment problems and polynomial approximation
Moment sequences and abstract Cauchy problems
We give a new characterization of the solvability of an abstract Cauchy problems in terms of moment sequences, using the resolvent operator at only one point.
Moments of vector measures and Pettis integrable functions
Conditions, under which the elements of a locally convex vector space are the moments of a regular vector-valued measure and of a Pettis integrable function, both with values in a locally convex vector space, are investigated.
Multivariate moment problems : geometry and indeterminateness
The most accurate determinateness criteria for the multivariate moment problem require the density of polynomials in a weighted Lebesgue space of a generic representing measure. We propose a relaxation of such a criterion to the approximation of a single function, and based on this condition we analyze the impact of the geometry of the support on the uniqueness of the representing measure. In particular we show that a multivariate moment sequence is determinate if its support has dimension one and...
Non-commutative moment problems.
On a variational approach to truncated problems of moments
We characterize the existence of the solutions of the truncated moments problem in several real variables on unbounded supports by the existence of the maximum of certain concave Lagrangian functions. A natural regularity assumption on the support is required.
On equivalent conditions to quasi-perfectness of abelian *-semigroups.
Let S be an abelian *-semigroup. In this paper we prove some equivalent conditions for that every positive function is a moment function on S + S + S with a unique representation measure on the set of characters of S.
On the analytic form of the discrete Kramer sampling theorem.
On the complex symmetric and skew-symmetric operators with a simple spectrum.
On the positive definiteness of n (a sequence of exponentials).
We find sharp asymptotic estimates for a sequence of exponentials to define a positive definite bilinear form.
On the relation between the multidimensional moment problem and the one-dimensional moment problem.
On the Stieltjes moment problem on semigroups
We characterize finitely generated abelian semigroups such that every completely positive definite function (a function all of whose shifts are positive definite) is an integral of nonnegative miltiplicative real-valued functions (called nonnegative characters).
On the two-dimensional moment problem.