Representation and approximation of positivity preservers

DOI10.1007/s12220-010-9126-3zbMath1193.15026arXiv0902.0279OpenAlexW1981955563MaRDI QIDQ980408

Tim Netzer

Publication date: 29 June 2010

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.0279

zbMATH Keywords

integral representationslinear preserversmoment problemsapproximation of operatorspositive and non-negative polynomials

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Moment problems (44A60) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Topological rings and modules (13J99) Linear preserver problems (15A86)

Cites Work

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• On linear operators preserving the set of positive polynomials
• Linear bounded transformation on the space of continuous functions
• Classifications of linear operators preserving elliptic, positive and non-negative polynomials
• Multivariate determinates
• On the moment problem of closed semi-algebraic sets
• A uniqueness criterion in the multivariate moment problem
• On the Momentum Problem for Distribution Functions in More Than One Dimension. II

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