Interpolation and Approximation by Symplectic Holomorphic Self-Maps of \(\mathbb {C}^{2n}\)

In this paper, we prove jet interpolation and approximation theorems for symplectic holomorphic automorphisms, symplectic holomorphic embeddings and symplectic holomorphic self-maps of \(\mathbb {C}^{2n}\) ${\mathbb{C}}^{2n}$ respectively. We discuss the symplectic tame set and give a criterion and some properties on it, on which some of our main theorems are built.