Advances in Holomorphy, Proceedings of the Seminario de Holomorfia, Universidade Federal do

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Page iii

Copyright page
Page iv

Foreword
Pages v-vi
Jorge Alberto Barroso

A Version of the Paley-Wiener-Schwartz Theorem in Infinite Dimensions Original Research Article
Pages 1-29
Teófilo Abuabara

Holomorphically Significant Properties of Spaces of Holomorphic Germs Original Research Article
Pages 31-46
Jorge Aragona

Weakly Uniformly Continuous and Weakly Sequentially Continuous Entire Functions Original Research Article
Pages 47-66
Richard M. Aron

Some Topological Properties of Spaces of Holomorphic Mappings in Infinitely Many Variables Original Research Article
Pages 67-91
Jorge Alberto Barroso, Leopoldo Nachbin

Convolution Operators and Surjective Limits Original Research Article
Pages 93-102
Paul Berner

H(E)-Bounded Subsets of a Locally Convex Space Original Research Article
Pages 103-110
Mauro Bianchini

Aspects of Inductive Limits in Spaces of Germs of Holomorphic Functions on Locally Convex Spaces and Applications to a Study of (H(U), τW) Original Research Article
Pages 111-178
Klaus-Dieter Bierstedt, Reinhold Meise

Duality Theory for Spaces of Germs and Holomorphic Functions on Nuclear Spaces Original Research Article
Pages 179-207
Philip J. Boland, Seán Dineen

Some Properties of Plurisubharmonic Measures Original Research Article
Pages 209-219
Urban Cegrell

A Result of Existence of Holomorphic Maps Which Admit a Given Asymptotic Expansion Original Research Article
Pages 221-232
J.F. Colombeau

Strong Nuclearity in Spaces of Holomorphic Mappings Original Research Article
Pages 233-248
Jean-François Colombeau, Reinhold Meise

Infinite Dimensional Holomorphic “Normal Forms” of Operators on the Fock Spaces of Boson Fields and an Extension of the Concept of Wick Product Original Research Article
Pages 249-274
J.F. Colombeau, B. Perrot

Problémes De Théorie Spectrale En Une Infinité De Variables Original Research Article
Pages 275-288
G. Eguether, J.-P. Ferrier

Interpolation and the Ranges of Analytic Maps into Banach Spaces Original Research Article
Pages 289-302
J. Globevnik

On the Ranges of Analytic Maps in Infinite Dimensions Original Research Article
Pages 303-344
J. Globevnik

Schwarz-Pick Systems of Pseudometrics for Domains in Normed Linear Spaces Original Research Article
Pages 345-406
Lawrence A. Harris

Characterization of the Spectrum of Some Topological Algebras of Holomorphic Functions Original Research Article
Pages 407-416
J.M. Isidro

Convex Coverings of l∞(A) Original Research Article
Pages 417-430
Bengt Josefson

Plurisubharmonic Functions and Plurisubharmonic Topologies Original Research Article
Pages 431-449
Christer O. Kiselman

Methods of Functional Analysis in the Study of Random Phenomena Original Research Article
Pages 451-483
Paul Krée

Théorěme De Cauchy-Kovalevsky Et Théorěme D\'Unicité D\'Holmgren Pour Des Fonctions Analytiques D\'Une Infinité De Variables Original Research Article
Pages 485-508
Bernard Lascar

On Separately Holomorphic and Silva Holomorphic Mappings Original Research Article
Pages 509-520
Mário C. Matos

Theorems of the Cartan-Thullen Type and Runge Domains Original Research Article
Pages 521-561
Luiza Amália Moraes

Ideals of Holomorphic Functions on Fréchet Spaces Original Research Article
Pages 563-576
Jorge Mujica

Some Problems in the Application of Functional Analysis to Holomorphy Original Research Article
Pages 577-583
Leopoldo Nachbin

A Propos De L\'Unicité Du Calcul Fonctionnel Holomorphe Des B-Algèbres Original Research Article
Pages 585-608
Kiyoko Nishizawa

Topologies Associated with Nachbin Topology Original Research Article
Pages 609-627
Philippe Noverraz

Tensor Products of Silva-Holomorphic Functions Original Research Article
Pages 629-700
Otilia T. Wiermann Paques

The Second Lie Theorem in the Group Gh(n,c) Original Research Article
Pages 701-711
Domingos Pisanelli

The δ Equation on a Hilbert Space and Some Applications to Complex Analysis on Infinite Dimensional Vector Spaces Original Research Article
Pages 713-734
P. Raboin

An Example of a Locally Convex Space Which is Not an ω-Space Original Research Article
Pages 735-744
Martin Schottenloher

Bounded Sets in Spaces of Holomorphic Germs Original Research Article
Pages 745-766
Roberto L. Soraggi