Asian Journal of Mathematics

Volume 8 (2004)

Number 2

Positivity Conditions for Hermitian Symmetric Functions

Pages: 215 – 232

DOI: http://dx.doi.org/10.4310/AJM.2004.v8.n2.a3

Authors

John P. D'Angelo

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.

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