## Advances in holomorphy: proceedings of the Seminário de Holomorfia, Universidade Federal do Rio de Janeiro, 26-28 September 1977 |

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### Contents

Teofilo Abuabara A version of the PaleyWiener | 1 |

Jorge Aragona Holomorphically significant | 31 |

Aron Weakly uniformly continuous | 47 |

Copyright | |

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### Common terms and phrases

Advances in Holomorphy algebra arbitrary Banach space barrelled Barroso biholomorphic bornée bornological bounded set bounded subset Cauchy compact set compact subset complex Banach space continuous map COROLLARY countable defined DEFINITION denote dense differentiable Dineen domain equicontinuous equivalent espaces exists finite follows Frechet space function f given Hausdorff Hence holomorphic functions holomorphic mappings I.e. space implies inductive limit Infinite Dimensional Holomorphy integral isomorphism lemma Let f linear mapping locally bounded locally convex spaces locally convex topology mapping f Math Matos metrizable Nachbin neighbourhood non-void normed linear space normed space North-Holland nuclear space open set open subset plurisubharmonic polynomials PROOF Let proposition prove pseudometric real number REMARK resp result s-nuclear satisfying Schauder Schwartz space seminorm sequence Silva space F spaces of holomorphic strict compact suppose surjective surjective limit theorem U-bounded uniformly continuous vector space vector subspace weakly