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  • 1
    UID:
    b3kat_BV036962767
    Format: 1 Online-Ressource (viii, 485 p.) , 24 cm
    Edition: Online-Ausgabe Elsevier e-book collection on ScienceDirect Sonstige Standardnummer des Gesamttitels: 041169-3
    ISBN: 0444865276 , 9780444865274
    Series Statement: North-Holland mathematics studies 71
    Note: Includes bibliographies
    Additional Edition: Reproduktion von Functional analysis, holomorphy, and approximation theory 1982
    Language: English
    Keywords: Funktionalanalysis ; Holomorphe Funktion ; Approximationstheorie ; Konferenzschrift
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  • 2
    Online Resource
    Online Resource
    Amsterdam ; : North Holland ;
    UID:
    almahu_9947367833802882
    Format: 1 online resource (321 p.)
    ISBN: 1-283-53895-4 , 9786613851406 , 0-08-087217-4
    Series Statement: North-Holland mathematics studies ; 106
    Content: This book presents a set of basic properties of holomorphic mappings between complex normed spaces and between complex locally convex spaces. These properties have already achieved an almost definitive form and should be known to all those interested in the study of infinite dimensional Holomorphy and its applications.The author also makes ``incursions'' into the study of the topological properties of the spaces of holomorphic mappings between spaces of infinite dimension. An attempt is then made to show some of the several topologies that can naturally be considered in these spaces.〈b
    Note: Description based upon print version of record. , Front Cover; Introduction to Holomorphy; Copyright Page; TABLE OF CONTENTS; FOREWORD; PART I: THE NORMED CASE; CHAPTER 1. NOTATION AND TERMINOLOGY, POLYNOMIALS; CHAPTER 2. POWER SERIES; CHAPTER 3. HOLOMORPHIC MAPPINGS; CHAPTER 4. THE CAUCHY INTEGRAL FORMULAS; CHAPTER 5. CONVERGENCE OF THE TAYLOR SERIES; CHAPTER 6. WEAK HOLOMORPHY; CHAPTER 7. FINITE HOLOMORPHY AND GATEAUX HOLOMORPHY; CHAPTER 8. TOPOLOGIES ON SPACES OF HOLOMORPHIC MAPPINGS; CHAPTER 9. UNIQUENESS OF ANALYTIC CONTINUATION; CHAPTER 10. THE MAXIMUM PRINCIPLE; CHAPTER 11. HOLOMORPHIC MAPPINGS OF BOUNDED TYPE , CHAPTER 12. DOMAINS OF ab-HOLOMORPHYCHAPTER 13. THE CARTAN-THULLEN THEOREM FOR DOMAINS OF ab-HOLOMORPHY; PART Il: THE LOCALLY CONVEX CASE; CHAPTER 14. NOTATION AND MULTILINEAR MAPPINGS; CHAPTER 15. POLYNOMIALS; CHAPTER 16. TOPOLOGIES ON SPACES OF MULTILINEAR MAPPINGS AND HOMOGENEOUS POLYNOMIALS; CHAPTER 17. FORMAL POWER SERIES; CHAPTER 18. HOLOMORPHIC MAPPINGS; CHAPTER 19. SEPARATION AND PASSAGE TO THE QUOTIENT; CHAPTER 20. B-HOLOMORPHY AND H-HOLOMORPHY; CHAPTER 21. ENTIRE MAPPINGS; CHAPTER 22. SOME ELEMENTARY PROPERTIES OF HOLOMORPHIC MAPPINGS , CHAPTER 23. HOLOMORPHY, CONTINUITY AND AMPLE BOUNDEDNESSCHAPTER 24. BOUNDING SETS; CHAPTER 25. THE CAUCHY INTEGRAL AND THE CAUCHY INEQUALITIES; CHAPTER 26. THE TAYLOR REMAINDER; CHAPTER 27. COMPACT AND LOCAL CONVERGENCE OF THE TAYLOR SERIES; CHAPTER 28. THE MULTIPLE CAUCHY INTEGRAL AND THE CAUCHY INEQUALITIES; CHAPTER 29. DIFFERENTIALLY STABLE SPACES; CHAPTER 30. LIMITS OF HOLOMORPHIC MAPPINGS; CHAPTER 31. UNIQUENESS OF HOLOMORPHIC CONTINUATION; CHAPTER 32. HOLOMORPHY AND FINITE HOLOMORPHY; CHAPTER 33. THE MAXIMUM SEMINORM THEOREM; CHAPTER 34. PROJECTIVE AND INDUCTIVE LIMITS AND HOLOMORPHY , CHAPTER 35. TOPOLOGIES ON H(UF); CHAPTER 36. BOUNDED SUBSETS OF SI(U; F); BIBLIOGRAPHY; AN INDEX OF DEFINITIONS; AUTHOR INDEX , English
    Additional Edition: ISBN 0-444-87666-9
    Language: English
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  • 3
    UID:
    almahu_9947367858602882
    Format: 1 online resource (495 p.)
    ISBN: 1-281-98488-4 , 9786611984885 , 0-08-087182-8
    Series Statement: North-Holland mathematics studies ; 71
    Content: Functional Analysis, Holomorphy and Approximation Theory
    Note: Description based upon print version of record. , Front Cover; Functional Analysis, Holomorphy and Approximation Theory; Copyright Page; Table of Contents; Chapter 1. On a Lifting Theorem and its Relation to Some Approximation Problems; Chapter 2. Köthe Sets and Köthe Sequence Spaces; Chapter 3. Parametric Approximation and Optimization; Chapter 4. Maximal Convolution Operators and Approximations; Chapter 5. Convolution Equations in Infinite Dimensions: Brief Survey, New Results and Proofs; Chapter 6. Holomorphic and Differentiable Mappings of Uniform Bounded Type , Chapter 7. Finite-Difference Partial Differential Equations in Normed and Locally Convex SpacesChapter 8. Approximation Properties in Nuclear Fréchet Spaces; Chapter 9. Geometry of the Neighbourhood of a Singularity; Chapter 10. A Class of Fréchet Complex Spaces in Which the Bounded Sets are C-Polar Sets; Chapter 11. An Interpretation of T? and Ts as Normal Topologies of Sequence Spaces; Chapter 12. Well Located Subspaces of LF-Spaces; Chapter 13. Continuation Theory for A-Proper and Strongly A-Closed Mappings and Their Uniform Limits and Nonlinear Perturbations of Fredholm Mappings , Chapter 14. New Examples of Nuclear Fréchet Spaces Without BasesChapter 15. A Survey of Some Recent Results on the Inverse Spectral and Scattering Problems for Differential Operators; Chapter 16. Various Applications of the Existence of Well Growing Holomorphic Functions; Chapter 17. On the Stone-Weierstrass Theorem for Modules Over Non-Archimedean Valued Fields; Chapter 18. Semi-Martingales and Measure Theory; Chapter 19. On Semi-Suslin Spaces and Dual Metric Spaces; Chapter 20. On the Approximation of Functions in Inductive Limits , English
    Additional Edition: ISBN 0-444-86527-6
    Language: English
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  • 4
    Online Resource
    Online Resource
    Amsterdam ; : North-Holland ;
    UID:
    almahu_9947367822402882
    Format: 1 online resource (xvi, 942 p. )
    ISBN: 0-444-87727-4
    Series Statement: North-Holland mathematical library ;
    Note: Collection of papers written in honor of Leopoldo Nachbin. , English
    Language: English
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  • 5
    UID:
    almahu_9949697523002882
    Format: 1 online resource (ix, 766 pages) : , illustrations
    ISBN: 0-444-85265-4
    Language: English
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  • 6
    UID:
    gbv_1684908027
    Format: Online-Ressource , viii, 485 p , 24 cm
    Edition: Online-Ausg.] Elsevier e-book collection on ScienceDirect
    ISBN: 0444865276 , 9780444865274
    Series Statement: North-Holland mathematics studies 71
    Note: Includes bibliographies
    Additional Edition: Erscheint auch als Druck-Ausgabe Functional analysis, holomorphy and approximation theory Amsterdam [u.a.] : North-Holland Publ., 1982 ISBN 0444865276
    Language: English
    Subjects: Mathematics
    RVK:
    RVK:
    Keywords: Approximationstheorie ; Holomorphe Funktion ; Funktionalanalysis ; Konferenzschrift ; Konferenzschrift
    URL: Volltext  (Deutschlandweit zugänglich)
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  • 7
    Book
    Book
    Amsterdam [u.a.] :North-Holland,
    UID:
    almafu_BV006520111
    Format: XIV, 301 Seiten.
    ISBN: 0-444-87666-9
    Series Statement: Notas de Matemática 98
    Language: English
    Subjects: Mathematics
    RVK:
    RVK:
    Keywords: Holomorphe Abbildung ; Normierter Raum ; Holomorphiegebiet ; Holomorphie
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  • 8
    UID:
    gbv_622380605
    Format: Online Ressource (IX, 766 pages)
    Edition: Online-Ausg.
    ISBN: 0444852654 , 9780444852656
    Series Statement: North Holland mathematics studies 34
    Content: Version of the Paley-Wiener-Schwartz theorem in infinite dimensions / Teofilo Aburabara -- Holomorphically significant properties of spaces of holomorphic germs / Jorge Aragona -- Weakly uniformly continuous and weakly sequentially continuous entire functions / Richard M. Aron -- Some topological properties of spaces of holomorphic mappings in infinitely many variables / Jorge Alberto Barroso, Leopoldo Nachbin -- Convolution operators and surjective limits / Paul Berner -- H(E)-bounded subsets of a locally convex space / 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), tw) / Klaus-Dieter Bierstedt, Reinhold Meise -- Duality theory for spaces and germs and holomorphic functions on nuclear spaces / Philip J. Boland, Sea§n Dineen -- Some properties of pluisubharmonic measures / Urban Cegrell -- Result of existence of holomorphic maps which admit a given asymptotic expansion / J.F. Colombeau -- Strong nuclearity in spaces of holomorphic mappings / Jean-Franc§ʹois 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 / J.F. Colombeau, B. Perrot -- Proble§mes de the§orie spectrale en une infinite§ de variables / G. Eguether, J.-P. Ferrier -- Interpolation and the ranges of analytic maps into Banach spaces / J. Globevnik -- On the ranges of analytic maps in infinite dimensions / J. Globevnik -- Schwarz-Pick systems of pseudometrics for domains in normed linear spaces / Lawrence A. Harris -- Characterization of the spectrum of some topological algebras of holomorphic functions / J.M. Isidro -- Convex coverings of I(A) / Bengt Josefson -- Plurisubharmonic functions and plurisubharmonic topologies / Christer O. Kiselman -- Methods of functional analysis in the study of random phenomena / Paul Kre§e -- The§ore§me de Cauchy-Kovalevsky et The§ore§me D'unicite§ D'Holmgren pour des fonctions analytiques d'une infinite§ de variables / Bernard Lascar -- On separately holomorphic and silva holomorphic mappings / Ma§rio C. Matos -- Theorems of the Cartan-Thullen type and Runge domains / Luiza Amalia Moraes -- Ideals of holomorphic functions on Fre§chet spaces / Jorge Mujica -- Some problems in the application of functional analysis to holomorphy / Leopoldo Nachbin -- A propos de l'unicite§ du calcul fonctionnel holomorphe des B-Alge§bres / Kiyoko Nishizawa -- Topologies associated with Nachbin topology -- Tensor products of silva-holomorphic functions / Otilia T. Wiermann Paques -- Second lie theorem in the group G(n, c) / Domingos Pisanelli -- Equation on a Hilbert space and some applications to complex analysis on infinite dimensional vector spaces / P. Raboin -- Example of a locally convex space which is not an w-Space / Martin Schottenloher -- Bounded sets in spaces of holomorphic germs / Roberto L. Soraggi
    Note: International conference proceedings. - Print version record , Version of the Paley-Wiener-Schwartz theorem in infinite dimensions / Teofilo Aburabara -- Holomorphically significant properties of spaces of holomorphic germs / Jorge Aragona -- Weakly uniformly continuous and weakly sequentially continuous entire functions / Richard M. Aron -- Some topological properties of spaces of holomorphic mappings in infinitely many variables / Jorge Alberto Barroso, Leopoldo Nachbin -- Convolution operators and surjective limits / Paul Berner -- H(E)-bounded subsets of a locally convex space / 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), tw) / Klaus-Dieter Bierstedt, Reinhold Meise -- Duality theory for spaces and germs and holomorphic functions on nuclear spaces / Philip J. Boland, Seán Dineen -- Some properties of pluisubharmonic measures / Urban Cegrell -- Result of existence of holomorphic maps which admit a given asymptotic expansion / J.F. Colombeau -- Strong nuclearity in spaces of holomorphic mappings / 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 / J.F. Colombeau, B. Perrot -- Problémes de théorie spectrale en une infinité de variables / G. Eguether, J.-P. Ferrier -- Interpolation and the ranges of analytic maps into Banach spaces / J. Globevnik -- On the ranges of analytic maps in infinite dimensions / J. Globevnik -- Schwarz-Pick systems of pseudometrics for domains in normed linear spaces / Lawrence A. Harris -- Characterization of the spectrum of some topological algebras of holomorphic functions / J.M. Isidro -- Convex coverings of I(A) / Bengt Josefson -- Plurisubharmonic functions and plurisubharmonic topologies / Christer O. Kiselman -- Methods of functional analysis in the study of random phenomena / Paul Krée -- Théorěme de Cauchy-Kovalevsky et Théorěme D'unicité D'Holmgren pour des fonctions analytiques d'une infinité de variables / Bernard Lascar -- On separately holomorphic and silva holomorphic mappings / Mário C. Matos -- Theorems of the Cartan-Thullen type and Runge domains / Luiza Amalia Moraes -- Ideals of holomorphic functions on Fréchet spaces / Jorge Mujica -- Some problems in the application of functional analysis to holomorphy / Leopoldo Nachbin -- A propos de l'unicité du calcul fonctionnel holomorphe des B-Algèbres / Kiyoko Nishizawa ...
    Additional Edition: ISBN 0444852654
    Additional Edition: ISBN 0720419654
    Additional Edition: ISBN 9780720419658
    Additional Edition: Erscheint auch als Druck-Ausgabe Advances in holomorphy
    Language: English
    Keywords: Electronic books ; Electronic books ; Konferenzschrift
    URL: Volltext  (lizenzpflichtig)
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  • 9
    Online Resource
    Online Resource
    Amsterdam : North-Holland
    UID:
    gbv_622425846
    Format: Online-Ressource (XVI, 942 S)
    Edition: 2010 Electronic reproduction
    ISBN: 0444877274 , 9780444877277
    Series Statement: North-Holland mathematical library v. 34
    Note: Collection of papers written in honor of Leopoldo Nachbin , Includes bibliographies , Electronic reproduction , Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. , English
    Additional Edition: ISBN 0444877274
    Additional Edition: Erscheint auch als Druck-Ausgabe Aspects of mathematics and its applications
    Additional Edition: Erscheint auch als Druck-Ausgabe Aspects of mathematics and its applications Amsterdam [u.a.] : North-Holland, 1986 ISBN 0444877274
    Language: English
    Subjects: Mathematics
    RVK:
    Keywords: Mathematik ; Nachbin, Leopoldo 1922-1993 ; Electronic books ; Aufsatzsammlung ; Bibliografie ; Festschrift
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  • 10
    Online Resource
    Online Resource
    Amsterdam : North Holland
    UID:
    gbv_1655652702
    Format: Online Ressource (xiv, 301 pages)
    Edition: Online-Ausg.
    ISBN: 9780080872179 , 0080872174 , 9780444876669
    Series Statement: North-Holland mathematics studies 106
    Content: This book presents a set of basic properties of holomorphic mappings between complex normed spaces and between complex locally convex spaces. These properties have already achieved an almost definitive form and should be known to all those interested in the study of infinite dimensional Holomorphy and its applications. The author also makes ``incursions'' into the study of the topological properties of the spaces of holomorphic mappings between spaces of infinite dimension. An attempt is then made to show some of the several topologies that can naturally be considered in these spaces. Infinite dimensional Holomorphy appears as a theory rich in fascinating problems and rich in applications to other branches of Mathematics and Mathematical Physics
    Note: Includes bibliographical references (pages 279-295) and indexes. - Print version record , Front Cover; Introduction to Holomorphy; Copyright Page; TABLE OF CONTENTS; FOREWORD; PART I: THE NORMED CASE; CHAPTER 1. NOTATION AND TERMINOLOGY, POLYNOMIALS; CHAPTER 2. POWER SERIES; CHAPTER 3. HOLOMORPHIC MAPPINGS; CHAPTER 4. THE CAUCHY INTEGRAL FORMULAS; CHAPTER 5. CONVERGENCE OF THE TAYLOR SERIES; CHAPTER 6. WEAK HOLOMORPHY; CHAPTER 7. FINITE HOLOMORPHY AND GATEAUX HOLOMORPHY; CHAPTER 8. TOPOLOGIES ON SPACES OF HOLOMORPHIC MAPPINGS; CHAPTER 9. UNIQUENESS OF ANALYTIC CONTINUATION; CHAPTER 10. THE MAXIMUM PRINCIPLE; CHAPTER 11. HOLOMORPHIC MAPPINGS OF BOUNDED TYPE , CHAPTER 12. DOMAINS OF ab-HOLOMORPHYCHAPTER 13. THE CARTAN-THULLEN THEOREM FOR DOMAINS OF ab-HOLOMORPHY; PART Il: THE LOCALLY CONVEX CASE; CHAPTER 14. NOTATION AND MULTILINEAR MAPPINGS; CHAPTER 15. POLYNOMIALS; CHAPTER 16. TOPOLOGIES ON SPACES OF MULTILINEAR MAPPINGS AND HOMOGENEOUS POLYNOMIALS; CHAPTER 17. FORMAL POWER SERIES; CHAPTER 18. HOLOMORPHIC MAPPINGS; CHAPTER 19. SEPARATION AND PASSAGE TO THE QUOTIENT; CHAPTER 20. B-HOLOMORPHY AND H-HOLOMORPHY; CHAPTER 21. ENTIRE MAPPINGS; CHAPTER 22. SOME ELEMENTARY PROPERTIES OF HOLOMORPHIC MAPPINGS , CHAPTER 23. HOLOMORPHY, CONTINUITY AND AMPLE BOUNDEDNESSCHAPTER 24. BOUNDING SETS; CHAPTER 25. THE CAUCHY INTEGRAL AND THE CAUCHY INEQUALITIES; CHAPTER 26. THE TAYLOR REMAINDER; CHAPTER 27. COMPACT AND LOCAL CONVERGENCE OF THE TAYLOR SERIES; CHAPTER 28. THE MULTIPLE CAUCHY INTEGRAL AND THE CAUCHY INEQUALITIES; CHAPTER 29. DIFFERENTIALLY STABLE SPACES; CHAPTER 30. LIMITS OF HOLOMORPHIC MAPPINGS; CHAPTER 31. UNIQUENESS OF HOLOMORPHIC CONTINUATION; CHAPTER 32. HOLOMORPHY AND FINITE HOLOMORPHY; CHAPTER 33. THE MAXIMUM SEMINORM THEOREM; CHAPTER 34. PROJECTIVE AND INDUCTIVE LIMITS AND HOLOMORPHY , CHAPTER 35. TOPOLOGIES ON H(UF); CHAPTER 36. BOUNDED SUBSETS OF SI(U; F); BIBLIOGRAPHY; AN INDEX OF DEFINITIONS; AUTHOR INDEX;
    Additional Edition: ISBN 0444876669
    Additional Edition: Erscheint auch als Druck-Ausgabe Barroso, Jorge Alberto Introduction to holomorphy Amsterdam ; New York : North Holland ; New York, N.Y. : Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1985
    Language: English
    Keywords: Holomorphie ; Electronic books ; Electronic books
    URL: Volltext  (lizenzpflichtig)
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