COMPLEX VARIABLES ANALOGUES OF HILBERT'S SEVENTEENTH PROBLEM

DOI10.1142/S0129167X05002990zbMath1079.32013OpenAlexW2090430154MaRDI QIDQ5315939

John P. D'Angelo

Publication date: 12 September 2005

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x05002990

zbMATH Keywords

holomorphic line bundlespositivity conditionsquotients of squared normsHermitian symmetric polynomials

Mathematics Subject Classification ID

Holomorphic mappings and correspondences (32H99) Holomorphic bundles and generalizations (32L05) Analytic spaces (32C99) Forms and linear algebraic groups (11E99) Real and complex fields (12D99)

Related Items (7)

HERMITIAN COMPLEXITY OF REAL POLYNOMIAL IDEALS ⋮ Algebraic properties of Hermitian sums of squares, II ⋮ Hermitian analogues of Hilbert's 17-th problem ⋮ Pfister’s theorem fails in the Hermitian case ⋮ Sum of squares conjecture: the monomial case in \(\mathbb{C}^3\) ⋮ An application of Macaulay’s estimate to sums of squares problems in several complex variables ⋮ Algebraic properties of Hermitian sums of squares

Cites Work

• Positive definite functions and generalizations, an historical survey
• On the representation of hermitian forms as sums of squares
• PROPER HOLOMORPHIC MAPPINGS, POSITIVITY CONDITIONS, AND ISOMETRIC IMBEDDING
• Unnamed Item

This page was built for publication: COMPLEX VARIABLES ANALOGUES OF HILBERT'S SEVENTEENTH PROBLEM