Complex orthogonal polynomials and numerical quadrature via hyponormality

DOI10.1007/s40315-018-0237-3zbMath1400.44008OpenAlexW2793257619MaRDI QIDQ1791083

David P. Kimsey, Mihai Putinar

Publication date: 4 October 2018

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40315-018-0237-3

zbMATH Keywords

quadrature formulahyponormal operatorsubnormal operatortruncated moment problemcomplex moment problemmultivariate Favard theorem

Mathematics Subject Classification ID

Moment problems (44A60)

Related Items (2)

On a minimal solution for the indefinite multidimensional truncated moment problem ⋮ The operator approach to the truncated multidimensional moment problem

Cites Work

• The subnormal completion problem in several variables
• Lectures on hyponormal operators
• Hyponormal quantization of planar domains. Exponential transform in dimension two
• The truncated matrix-valued $K$-moment problem on $\mathbb {R}^d$, $\mathbb {C}^d$, and $\mathbb {T}^d$
• Quillen property of real algebraic varieties
• A Note on Joint Hyponormality
• Flat extensions of positive moment matrices: recursively generated relations
• Lasserre Hierarchy for Large Scale Polynomial Optimization in Real and Complex Variables
• Solution of the truncated complex moment problem for flat data
• The truncated complex $K$-moment problem
• Multivariate polynomial approximation in the hypercube
• The proof of Tchakaloff’s Theorem
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