An Introduction to Complex Analysis in Several Variables |
Contents
CHAPTER II | 22 |
APPLICATIONS TO COMMUTATIVE BANACH | 61 |
Summary | 77 |
Copyright | |
4 other sections not shown
Common terms and phrases
analytic functions apply approximated 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 defined definition denote differential domain of holomorphy dz¹ elements existence theorems f₁ F₂ fact finite number follows from Theorem forms of type function f functions in A(N gives h₁ Hence implies integral isomorphism K₁ Lemma Let Q linear meromorphic function neighborhood Note obtain open set open subset operator plurisubharmonic function polydisc power series proof of Theorem pseudoconvex Reinhardt domain relatively compact Runge domain satisfying sections of F sequence sheaves solution space Stein manifold strictly plurisubharmonic subharmonic topology type p,q u₁ uniformly vanish variables w₁ z₁ z₂