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.
"Positivity Conditions for Hermitian Symmetric Functions." Asian J. Math. 8 (2) 215 - 232, April, 2004.