The truncated Hamburger moment problems with gaps in the index set

DOI10.1007/s00020-021-02628-6zbMath1482.47023arXiv2007.11846OpenAlexW3172443991MaRDI QIDQ2032313

Aljaž Zalar

Publication date: 11 June 2021

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.11846

zbMATH Keywords

Hamburger moment problemmoment matrixtruncated moment problemsrepresenting measurebivariate moment problem

Mathematics Subject Classification ID

Linear operator methods in interpolation, moment and extension problems (47A57) Dilations, extensions, compressions of linear operators (47A20) Moment problems (44A60) Linear transformations, semilinear transformations (15A04) Applications of operator theory in numerical analysis (47N40)

Related Items (2)

The truncated moment problem on the union of parallel lines ⋮ The strong truncated Hamburger moment problem with and without gaps

Uses Software

• Mathematica

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The \(\mathcal A\)-truncated \(K\)-moment problem
• Positive definite completions of partial Hermitian matrices
• Solution of the truncated hyperbolic moment problem
• Moments and sums of squares for polynomial optimization and related problems
• On hermitian block Hankel matrices, matrix polynomials, the Hamburger moment problem, interpolation and maximum entropy
• An analogue of the Riesz-Haviland theorem for the truncated moment problem
• Trace-positive polynomials and the quartic tracial moment problem
• Positivity of Riesz functionals and solutions of quadratic and quartic moment problems
• The \(K\)-moment problem for compact semi-algebraic sets
• Positive semidefinite completions of partial Hermitian matrices
• Solving moment problems by dimensional extension
• Rational dilation problems associated with constrained algebras
• The multidimensional truncated moment problem: atoms, determinacy, and core variety
• The core variety of a multisequence in the truncated moment problem
• The Schur complement and its applications
• On degenerate Hamburger moment problem and extensions of nonnegative Hankel block matrices
• Non-extremal sextic moment problems
• The truncated moment problem on \(\mathbb{N}_0\)
• The extremal truncated moment problem
• Global Optimization with Polynomials and the Problem of Moments
• The moment problem for non-compact semialgebraic sets
• Solving the truncated moment problem solves the full moment problem
• The truncated matrix-valued $K$-moment problem on $\mathbb {R}^d$, $\mathbb {C}^d$, and $\mathbb {T}^d$
• The truncated tracial moment problem
• Solution of the truncated moment problem with variety 𝑦=𝑥³
• Concrete solution to the nonsingular quartic binary moment problem
• Multivariate determinates
• Flat extensions of positive moment matrices: recursively generated relations
• On the moment problem of closed semi-algebraic sets
• Solution of the truncated complex moment problem for flat data
• The Moment Problem
• Recursively determined representing measures for bivariate truncated moment sequences
• Revisiting two theorems of Curto and Fialkow on moment matrices
• Outer factorizations in one and several variables
• The proof of Tchakaloff’s Theorem
• Positive Gorenstein ideals
• An Identity for the Schur Complement of a Matrix
• Conditions for Positive and Nonnegative Definiteness in Terms of Pseudoinverses
• On the Momentum Problem for Distribution Functions in More Than One Dimension. II

This page was built for publication: The truncated Hamburger moment problems with gaps in the index set