Functional analysis, holomorphy, and approximation theory : proceedings of the Seminário de Análise Funcional, Holomorfia e Teoria da Aproximação, Universidade Federal do Rio de Janeiro, Brazil, August 7-11, 1978 / edited by Silvio Machado.

By: Seminário de Análise Funcional, Holomorfia e Teoria da Aproximação (1978 : Universidade Federal do Rio de Janeiro)
Contributor(s): Machado, Silvio
Material type: TextTextLanguage: English, French Series: Lecture notes in mathematics (Springer-Verlag): 843.Publisher: Berlin ; New York : Springer-Verlag, 1981Description: 1 online resource (vi, 636 pages) : illustrationsContent type: text Media type: computer Carrier type: online resourceISBN: 9783540385295; 3540385290Subject(s): Functional analysis -- Congresses | Holomorphic functions -- Congresses | Domains of holomorphy -- Congresses | Approximation theory -- Congresses | Analyse fonctionnelle -- Congrès | Fonctions holomorphes -- Congrès | Domaines d'holomorphie -- Congrès | Approximation, Théorie de l' -- Congrès | Approximation theory | Domains of holomorphy | Functional analysis | Holomorphic functions | Holomorphie | Kongress | Funktionalanalysis | Approximationstheorie | Holomorphe FunktionGenre/Form: Electronic books. | Conference papers and proceedings. Additional physical formats: Print version:: Functional analysis, holomorphy, and approximation theory.DDC classification: 510 LOC classification: QA3 | .L28 no. 843 | QA320Other classification: 31.46 Online resources: Click here to access online
Contents:
An example of a quasi-normable Fréchet space which is not a Schwartz space / J.M. Ansemil and S. Ponte -- The Levi problem and the radius of convergence of the holomorphic functions on metric vector spaces / Aboubakr Bayoumi -- Extending nonarchimedean norms on algebras / Edward Beckenstein and Lawrence Narici -- M-structure in tensor products of Banach spaces / Ehrhard Behrends -- Silva-holomorphy types, Borel transforms and partial differential operators / Mauro Bianchini -- The approximation-theoretic localization of Schwartz's approximation property for weighted locally convex function space and some examples / Klaus-D. Bierstedt -- An application of Korovkin's theorem to certain partial differential equations / Bruno Brosowski -- The Fourier-Borel transform in infinitely many dimensions and applications / J.F. Colombeau and B. Perrot -- On the solvability of differential equations of infinite order on non-metrizable spaces / J.F. Colombeau, B. Perrot and T.A.W. Dwyer, III -- C[superscript infinity]-functions on locally convex and on Bornological vector spaces / J.F. Colombeau and Reinhold Meise -- Uniform measures and Cosaks spaces / J.B. Cooper and W. Schachermayer -- Holomorphic germs on compact subsets of locally convex spaces / Seán Dineen -- Some mathematical problems in non-equilibrium statistical mechanics / Gérard G. Emch -- Generalized Hewitt-Nachbin spaces arising in state-space completions / Benno Fuchssteiner -- On the topology of compact complex surfaces / Ludger Kaup -- Jordan algebras and holomorphy / Wilhelm Kaup -- Hoe to recognize supports from the growth of functional transforms in real and complex analysis / Christer O. Kiselman -- Linear differential operators on vector spaces / Paul Krée -- Solutions faibles et solutions fortes du problème [ð] u = f où f est une fonction à croissance polynomiale sur un espace de Hilbert / Bernard Lascar -- Silva-holomorphy types / Mário C. Matos and Leopoldo Nachbin -- Envelopes for types of holomorphy / Luiza A. Moraes -- Domains of holomorphy in (DFC)-spaces / Jorge Mujica -- Homomorphisms of algebras of germs of holomorphic functions / Olympia Nicodemi -- On the spectra of non-Archimedean function algebras / João B. Prolla -- An example of the barrelled space associated to C(X;E) / Jean Schmets -- On suprabarrelled spaces / Manuel Valdivia -- Envelopes of Silva-holomorphy / Maria Carmelina F. Zaine -- Dense subalgebras in topological algebras of differential functions / Guido Zapata.
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Includes bibliographical references and index.

An example of a quasi-normable Fréchet space which is not a Schwartz space / J.M. Ansemil and S. Ponte -- The Levi problem and the radius of convergence of the holomorphic functions on metric vector spaces / Aboubakr Bayoumi -- Extending nonarchimedean norms on algebras / Edward Beckenstein and Lawrence Narici -- M-structure in tensor products of Banach spaces / Ehrhard Behrends -- Silva-holomorphy types, Borel transforms and partial differential operators / Mauro Bianchini -- The approximation-theoretic localization of Schwartz's approximation property for weighted locally convex function space and some examples / Klaus-D. Bierstedt -- An application of Korovkin's theorem to certain partial differential equations / Bruno Brosowski -- The Fourier-Borel transform in infinitely many dimensions and applications / J.F. Colombeau and B. Perrot -- On the solvability of differential equations of infinite order on non-metrizable spaces / J.F. Colombeau, B. Perrot and T.A.W. Dwyer, III -- C[superscript infinity]-functions on locally convex and on Bornological vector spaces / J.F. Colombeau and Reinhold Meise -- Uniform measures and Cosaks spaces / J.B. Cooper and W. Schachermayer -- Holomorphic germs on compact subsets of locally convex spaces / Seán Dineen -- Some mathematical problems in non-equilibrium statistical mechanics / Gérard G. Emch -- Generalized Hewitt-Nachbin spaces arising in state-space completions / Benno Fuchssteiner -- On the topology of compact complex surfaces / Ludger Kaup -- Jordan algebras and holomorphy / Wilhelm Kaup -- Hoe to recognize supports from the growth of functional transforms in real and complex analysis / Christer O. Kiselman -- Linear differential operators on vector spaces / Paul Krée -- Solutions faibles et solutions fortes du problème [ð] u = f où f est une fonction à croissance polynomiale sur un espace de Hilbert / Bernard Lascar -- Silva-holomorphy types / Mário C. Matos and Leopoldo Nachbin -- Envelopes for types of holomorphy / Luiza A. Moraes -- Domains of holomorphy in (DFC)-spaces / Jorge Mujica -- Homomorphisms of algebras of germs of holomorphic functions / Olympia Nicodemi -- On the spectra of non-Archimedean function algebras / João B. Prolla -- An example of the barrelled space associated to C(X;E) / Jean Schmets -- On suprabarrelled spaces / Manuel Valdivia -- Envelopes of Silva-holomorphy / Maria Carmelina F. Zaine -- Dense subalgebras in topological algebras of differential functions / Guido Zapata.

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