A domain Ω ⊂ C^n is a 'domain of holomorphy' if there is a holomorphic f on Ω with no holomorphic extension past any boundary point. Cartan-Thullen 1932 characterise these as 'holomorphically convex' open sets: for every compact K ⊂ Ω,…
A domain Ω ⊂ C^n is a 'domain of holomorphy' if there is a holomorphic f on Ω with no holomorphic extension past any boundary point. Cartan-Thullen 1932 characterise these as 'holomorphically convex' open sets: for every compact K ⊂ Ω,…