The quadratic moment problem for the unit circle and unit disk

DOI10.1007/BF01228605zbMath0979.44006OpenAlexW1978678499MaRDI QIDQ1596293

Raúl E. Curto, Lawrence A. Fialkow

Publication date: 24 February 2002

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

Full work available at URL: https://doi.org/10.1007/bf01228605

zbMATH Keywords

algorithmsquadratic moment problematomic representing measures

Mathematics Subject Classification ID

Numerical methods for integral transforms (65R10) Linear operator methods in interpolation, moment and extension problems (47A57) Moment problems and interpolation problems in the complex plane (30E05) Moment problems (44A60)

Related Items (11)

Convex hulls of orbits and orientations of a moving protein domain ⋮ On a solution of the multidimensional truncated matrix-valued moment problem ⋮ On a minimal solution for the indefinite multidimensional truncated moment problem ⋮ Embry truncated complex moment problem. ⋮ Cubic column relations in truncated moment problems ⋮ The cubic complex moment problem ⋮ An analogue of the Riesz-Haviland theorem for the truncated moment problem ⋮ The truncated complex $K$-moment problem ⋮ Positivity of Riesz functionals and solutions of quadratic and quartic moment problems ⋮ Non-extremal sextic moment problems ⋮ Homogeneous and nonhomogeneous linear trigonometric moment problem and recursiveness

Uses Software

• Mathematica

Cites Work

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• A two-dimensional moment problem
• Polynomially positive definite sequences
• The \(K\)-moment problem for compact semi-algebraic sets
• A moment problem for positive measures on the unit disc
• Flat extensions of positive moment matrices: recursively generated relations
• Solution of the truncated complex moment problem for flat data

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