Positivity Conditions for Hermitian Symmetric Functions

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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Published 1 January 2004