The Serre duality theorem for holomorphic vector bundles over a strongly pseudo-convex manifold

Abstract

The Serre duality for a holomorphic vector bundle over a compact, complex manifold still holds over a compact, strongly pseudo-convex manifold $M$. This duality theorem is a vector bundle version of the Serre duality obtained by N. Tanaka in [3] for ordinary $(p, q)$-forms on $M$.