HERMITIAN COMPLEXITY OF REAL POLYNOMIAL IDEALS-Reference-Cited by-同舟云学术

HERMITIAN COMPLEXITY OF REAL POLYNOMIAL IDEALS

Published:2012-05-06 Issue:06 Volume:23 Page:1250026
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

D'ANGELO JOHN P.¹,PUTINAR MIHAI²

Affiliation:

1. Department of Mathematics, University of Illinois, W. Green Street, Urbana, IL 61801, USA

2. Department of Mathematics, University of California, Santa Barbara, CA 93106, USA

Abstract

We define the Hermitian complexity of a real polynomial ideal and of a real algebraic subset of Cn. This concept is aimed at determining precise necessary conditions for a Hermitian symmetric polynomial to agree with a Hermitian squared norm on an algebraic set. The latter topic has been a central theme in modern polynomial optimization and in complex geometry, specifically related to the holomorphic embedding of pseudoconvex domain into balls, or the classification of proper holomorphic maps between balls.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X11007689

Reference22 articles.

1. Pick Interpolation and Hilbert Function Spaces

2. Isometric Imbedding of Complex Manifolds

3. A stabilization theorem for Hermitian forms and applications to holomorphic mappings

4. Inequalities from Complex Analysis

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