Polynomials non-negative on a strip

DOI10.1090/S0002-9939-09-10016-3zbMath1189.14065OpenAlexW1975354331MaRDI QIDQ3558984

Murray A. Marshall

Publication date: 11 May 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-09-10016-3

zbMATH Keywords

moment problemsums of squarespositive polynomials

Mathematics Subject Classification ID

Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Polynomials in general fields (irreducibility, etc.) (12E05) Real algebraic and real-analytic geometry (14P99)

Related Items (11)

Induced Quadratic Modules ⋮ A few more extensions of Putinar's Positivstellensatz to non-compact sets ⋮ Borel measures with a density on a compact semi-algebraic set ⋮ Testing hyperbolicity of real polynomials ⋮ Polynomials non-negative on strips and half-strips ⋮ Closures of quadratic modules ⋮ Positive polynomials on nondegenerate basic semi-algebraic sets ⋮ Polynomials nonnegative on the cylinder ⋮ Positive polynomials and sequential closures of quadratic modules ⋮ A note on nondegenerate matrix polynomials ⋮ On sum of squares certificates of non-negativity on a strip

Cites Work

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• Positive polynomials and the moment problem for cylinders with compact cross-section.
• Sums of squares on real algebraic curves
• Sums of squares on real algebraic surfaces
• Non-existence of degree bounds for weighted sums of squares representations
• The moment problem for non-compact semialgebraic sets
• Positivity, sums of squares and the multi-dimensional moment problem
• Positivity in power series rings
• On the moment problem of closed semi-algebraic sets
• Polynomials Positive on Unbounded Rectangles
• Sums of squares of regular functions on real algebraic varieties

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