Laurent series in spaces of holomorphic functions

Let \(X\) be a linear space of holomorphic functions on a Reinhardt domain in \(\mathbb{C}^n\). We study the convergence and summability (in the topology of \(X\)) of Laurent series of functions in \(X\). We introduce the principle of missing monomials and discuss some of its applications. We also discuss the notions of absolute and unconditional convergence of Laurent series in locally convex spaces and show that holomorphic functions smooth up to the boundary have Laurent series which converge unconditionally.