Asian Journal of Mathematics

Positivity Conditions for Hermitian Symmetric Functions

John P. D'Angelo and Dror Varolin

Abstract

We introduce a family of positivity conditions for Hermitian symmetric functions, establish basic properties, and connect the ideas with complex geometry. Let M be a complex manifold, and let M' denote its complex conjugate manifold. In this paper M will typically be either Cn or the total space of a holomorphic line bundle over a compact complex manifold.

Article information

Source
Asian J. Math., Volume 8, Number 2 (2004), 215-232.

Dates
First available in Project Euclid: 24 June 2004

Permanent link to this document
https://projecteuclid.org/euclid.ajm/1088090060

Mathematical Reviews number (MathSciNet)
MR2129535

Zentralblatt MATH identifier
1116.32001

Citation

D'Angelo, John P.; Varolin, Dror. Positivity Conditions for Hermitian Symmetric Functions. Asian J. Math. 8 (2004), no. 2, 215--232. https://projecteuclid.org/euclid.ajm/1088090060


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