An Introduction to Complex Analysis in Several Variables

analytic functions apply arbitrary assume boundary bounded C₁ Cauchy-Riemann equations choose cochain coefficients coherent analytic sheaf compact set compact subset completes the proof complex manifold component condition constant contained continuous function converges Corollary Cousin problem D₁ defined definition denote di(z differential domain of holomorphy du/dz elements existence theorems f₁ F₂ fact finite number follows from Theorem forms of type function f g₁ germs gives h₁ Hence implies integrable isomorphism K₁ Lemma Let f linear m₁ meromorphic function neighborhood Note obtain open set open subset P₁(z plurisubharmonic function polydisc power series proof of Theorem pseudoconvex Reinhardt domain relatively compact Runge domain satisfies sections of F sequence sheaves solution space Stein manifold strictly plurisubharmonic subharmonic topology type p,q U₁ uniformly vanish variables w₁ τω Ω₁ Ω₂