## An introduction to complex analysis in several variables |

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### Contents

Analytic Functions of one Complex Variable | 1 |

Elementary Properties of Functions | 22 |

Chapter HI Applications to Commutative Banach | 61 |

Copyright | |

5 other sections not shown

### Common terms and phrases

analytic functions analytic in Q apply arbitrary assume boundary bounded Cauchy-Riemann equations choose cochain coefficients coherent analytic sheaf cohomology groups compact in Q compact set compact subset compact support completes the proof complex manifold component condition constant contained continuous function converges Corollary Cousin problem defined definition degree denote differential disc domain of holomorphy elements existence theorems fact finite number follows from Theorem forms of type functions in Q gives Hence implies integral interior isomorphism Let Q linear manifold Q meromorphic function neighborhood of Kp notation Note obtain open set open set Q open subset operator plurisubharmonic function polydisc proof of Theorem pseudoconvex Reinhardt domain relatively compact Runge domain satisfying sequence sheaves space Stein manifold strictly plurisubharmonic subharmonic subset of Q topology type p,q u e A(Q uniformly vanish variables z e Q