Truncated trigonometric moment problems and determinate measures

DOI10.1006/jmaa.1999.6567zbMath0947.42015OpenAlexW2022280535MaRDI QIDQ1818994

Jean-Pierre Gabardo

Publication date: 5 January 2000

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6567

zbMATH Keywords

trigonometric polynomialsBorel measuredeterminacytrigonometric moment problems

Mathematics Subject Classification ID

Harmonic analysis in several variables (42B99) Trigonometric moment problems in one variable harmonic analysis (42A70)

Related Items (3)

A duality proof of Tchakaloff's theorem ⋮ Lasserre Hierarchy for Large Scale Polynomial Optimization in Real and Complex Variables ⋮ Extending positive definiteness

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Mesures canoniques dans le problème classique des moments
• The multidimensional moment problem
• Density questions in the classical theory of moments
• The classical moment problem: Hilbertian proofs
• Rotation invariant moment problems
• On determinacy notions for the two dimensional moment problem
• Singularly positive definite sequences and parametrization of extreme points
• The extension problem for positive-definite functions
• On the Preservation of Determinacy under Convolution
• Trigonometric moment problems for arbitrary finite subsets of $\mathbb Z^n$
• Maximum entropy and the moment problem
• Solution of the truncated complex moment problem for flat data
• The Index of Determinacy for Measures and the ℓ 2 -Norm of Orthonormal Polynomials

This page was built for publication: Truncated trigonometric moment problems and determinate measures