Complex analysis in Banach spaces : holomorphic functions and domains of holomorphy in finite and infinite dimensions / Jorge Mujica |
Autore | Mujica, Jorge |
Pubbl/distr/stampa | Amsterdam - New York - New York, N.Y., U.S.A. : North-Holland, 1986 |
Descrizione fisica | xi, 434 p. ; 25 cm |
Disciplina | 510 |
Collana |
North-Holland mathematics studies, 0304-0208 ; 120
Notas de matematica ; 107 |
Soggetto topico |
Banach spaces
Domains of holomorphy Holomorphic functions |
ISBN | 0444878866 (U.S.) |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991000768199707536 |
Mujica, Jorge
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Amsterdam - New York - New York, N.Y., U.S.A. : North-Holland, 1986 | ||
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Lo trovi qui: Univ. del Salento | ||
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Complex dynamics : twenty-five years after the appearance of the Mandelbrot set : proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on Complex Dynamics : Twenty-five Years after the Appearance of the Mandelbrot Set, June 13-17, 2004, Snowbird, Utah / / Robert L. Devaney, Linda Keen, editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2006] |
Descrizione fisica | 1 online resource (218 p.) |
Disciplina | 514/.742 |
Collana | Contemporary mathematics |
Soggetto topico |
Mandelbrot sets
Dynamics System theory Mappings (Mathematics) Domains of holomorphy Polynomials Numbers, Complex |
Soggetto genere / forma | Electronic books. |
ISBN | 0-8218-7986-3 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | ""Polynomial vector fields, dessins d'enfants, and circle packings""""Siegel disks whose boundaries have only two complementary domains""; ""Non-uniform porosity for a subset of some Julia sets""; ""The existence of conformal measures for some transcendental meromorphic functions""; ""Open problems"" |
Record Nr. | UNINA-9910480120103321 |
Providence, Rhode Island : , : American Mathematical Society, , [2006] | ||
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Lo trovi qui: Univ. Federico II | ||
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Complex dynamics : twenty-five years after the appearance of the Mandelbrot set : proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on Complex Dynamics : Twenty-five Years after the Appearance of the Mandelbrot Set, June 13-17, 2004, Snowbird, Utah / / Robert L. Devaney, Linda Keen, editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2006] |
Descrizione fisica | 1 online resource (218 p.) |
Disciplina | 514/.742 |
Collana | Contemporary mathematics |
Soggetto topico |
Mandelbrot sets
Dynamics System theory Mappings (Mathematics) Domains of holomorphy Polynomials Numbers, Complex |
ISBN | 0-8218-7986-3 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | ""Polynomial vector fields, dessins d'enfants, and circle packings""""Siegel disks whose boundaries have only two complementary domains""; ""Non-uniform porosity for a subset of some Julia sets""; ""The existence of conformal measures for some transcendental meromorphic functions""; ""Open problems"" |
Record Nr. | UNINA-9910788662103321 |
Providence, Rhode Island : , : American Mathematical Society, , [2006] | ||
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Lo trovi qui: Univ. Federico II | ||
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Complex dynamics : twenty-five years after the appearance of the Mandelbrot set : proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on Complex Dynamics : Twenty-five Years after the Appearance of the Mandelbrot Set, June 13-17, 2004, Snowbird, Utah / / Robert L. Devaney, Linda Keen, editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2006] |
Descrizione fisica | 1 online resource (218 p.) |
Disciplina | 514/.742 |
Collana | Contemporary mathematics |
Soggetto topico |
Mandelbrot sets
Dynamics System theory Mappings (Mathematics) Domains of holomorphy Polynomials Numbers, Complex |
ISBN | 0-8218-7986-3 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | ""Polynomial vector fields, dessins d'enfants, and circle packings""""Siegel disks whose boundaries have only two complementary domains""; ""Non-uniform porosity for a subset of some Julia sets""; ""The existence of conformal measures for some transcendental meromorphic functions""; ""Open problems"" |
Record Nr. | UNINA-9910815366003321 |
Providence, Rhode Island : , : American Mathematical Society, , [2006] | ||
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Lo trovi qui: Univ. Federico II | ||
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Holomorphic foliations with singularities : key concepts and modern results / / Bruno Scárdua |
Autore | Scárdua Bruno |
Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
Descrizione fisica | 1 online resource (172 pages) |
Disciplina | 514.72 |
Collana | Latin American Mathematics |
Soggetto topico |
Foliations (Mathematics)
Domains of holomorphy Algebraic topology Foliacions (Matemàtica) |
Soggetto genere / forma | Llibres electrònics |
ISBN | 3-030-76705-1 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Intro -- Preface -- Contents -- 1 The Classical Notions of Foliations -- 1.1 Definition of Foliation -- 1.2 Other Definitions of Foliation -- 1.3 Frobenius Theorem -- 1.4 Holonomy -- 1.5 Exercises -- 2 Some Results from Several Complex Variables -- 2.1 Some Extension Theorems from Several Complex Variables -- 2.2 Levi's Global Extension Theorem -- 2.3 Exercises -- 3 Holomorphic Foliations: Non-singular Case -- 3.1 Basic Concepts -- 3.2 Examples -- 3.3 The Identity Principle for Holomorphic Foliations -- 3.4 Exercises -- 4 Holomorphic Foliations with Singularities -- 4.1 Linear Vector Fields on the Plane -- 4.2 One-Dimensional Foliations with Isolated Singularities -- 4.3 Differential Forms and Vector Fields -- 4.4 Codimension One Foliations with Singularities -- 4.5 Analytic Leaves -- 4.6 Two Extension Lemmas for Holomorphic Foliations -- 4.7 Kupka Singularities and Simple Singularities -- 4.8 Exercises -- 5 Holomorphic Foliations Given by Closed 1-Forms -- 5.1 Foliations Given by Closed Holomorphic 1-Forms -- 5.1.1 Holonomy of Foliations Defined by Closed Holomorphic 1-Forms -- 5.2 Foliations Given by Closed Meromorphic 1-Forms -- 5.2.1 Holonomy of Foliations Defined by Closed meromorphic 1-Forms -- 5.3 Exercises -- 6 Reduction of Singularities -- 6.1 Irreducible Singularities -- 6.2 Poincaré and Poincaré-Dulac Normal Forms -- 6.3 Blow-up at the Origin (Quadratic Blow-up) -- 6.4 Blow-up on Surfaces -- 6.4.1 Resolution of Curves -- 6.5 Blow-up of a Singular Point of a Foliation -- 6.6 Irreducible Singularities -- 6.7 Separatrices: Dicriticalness and Existence -- 6.8 Holonomy and Analytic Classification -- 6.8.1 Holonomy of Irreducible Singularities -- 6.8.2 Holonomy and Analytic Classification of Irreducible Singularities -- 6.9 Examples -- 6.10 Exercises -- 7 Holomorphic First Integrals -- 7.1 Mattei-Moussu Theorem.
7.2 Groups of Germs of Holomorphic Diffeomorphisms -- 7.3 Irreducible Singularities -- 7.4 The Case of a Single Blow-up -- 7.5 The General Case -- 7.6 Exercises -- 8 Dynamics of a Local Diffeomorphism -- 8.1 Hyperbolic Case -- 8.2 Parabolic Case -- 8.3 Elliptic Case -- 8.4 Exercises -- 9 Foliations on Complex Projective Spaces -- 9.1 The Complex Projective Plane and Foliations -- 9.2 The Theorem of Darboux-Jouanolou -- 9.3 Foliations Given by Closed 1-Forms -- 9.4 Riccati Foliations -- 9.5 Examples of Foliations on C P(2) -- 9.6 Example of an Action of a Low-dimensional Lie Algebra -- 9.7 A Family of Foliations on C P(3) Not Coming from Plane Foliations -- 9.8 Exercises -- 10 Foliations with Algebraic Limit Sets -- 10.1 Limit Sets of Foliations -- 10.2 Groups of Germs of Diffeomorphisms with Finite Limit Set -- 10.3 Virtual Holonomy Groups -- 10.4 Construction of Closed Meromorphic Forms -- 10.5 The Linearization Theorem -- 10.6 Examples -- 10.7 Exercises -- 11 Some Modern Questions -- 11.1 Holomorphic Flows on Stein Spaces -- 11.1.1 Suzuki's Theory -- 11.1.2 Proof of the Global Linearization Theorem -- 11.2 Real Transverse Sections of Holomorphic Foliations -- 11.3 Non-trivial Minimal Sets of Holomorphic Foliations -- 11.4 Transversely Homogeneous Holomorphic Foliations -- 11.4.1 Transversely Lie Foliations -- 11.5 Transversely Affine Foliations -- 11.6 Transversely Projective Foliations -- 11.6.1 Development of a Transversely Projective Foliation-Touzet's Work -- 11.6.2 Projective Structures and Differential Forms -- Proof of Proposition 11.6.5 -- Classification of Projective Foliations: Moderate Growth on Projective Manifolds -- 12 Miscellaneous Exercises and Some Open Questions -- 12.1 Miscellaneous Exercises -- 12.2 Some Open Questions -- Bibliography -- Index. |
Record Nr. | UNISA-996466563603316 |
Scárdua Bruno
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Cham, Switzerland : , : Springer, , [2021] | ||
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Lo trovi qui: Univ. di Salerno | ||
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Holomorphic foliations with singularities : key concepts and modern results / / Bruno Scárdua |
Autore | Scárdua Bruno |
Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
Descrizione fisica | 1 online resource (172 pages) |
Disciplina | 514.72 |
Collana | Latin American Mathematics |
Soggetto topico |
Foliations (Mathematics)
Domains of holomorphy Algebraic topology Foliacions (Matemàtica) |
Soggetto genere / forma | Llibres electrònics |
ISBN | 3-030-76705-1 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Intro -- Preface -- Contents -- 1 The Classical Notions of Foliations -- 1.1 Definition of Foliation -- 1.2 Other Definitions of Foliation -- 1.3 Frobenius Theorem -- 1.4 Holonomy -- 1.5 Exercises -- 2 Some Results from Several Complex Variables -- 2.1 Some Extension Theorems from Several Complex Variables -- 2.2 Levi's Global Extension Theorem -- 2.3 Exercises -- 3 Holomorphic Foliations: Non-singular Case -- 3.1 Basic Concepts -- 3.2 Examples -- 3.3 The Identity Principle for Holomorphic Foliations -- 3.4 Exercises -- 4 Holomorphic Foliations with Singularities -- 4.1 Linear Vector Fields on the Plane -- 4.2 One-Dimensional Foliations with Isolated Singularities -- 4.3 Differential Forms and Vector Fields -- 4.4 Codimension One Foliations with Singularities -- 4.5 Analytic Leaves -- 4.6 Two Extension Lemmas for Holomorphic Foliations -- 4.7 Kupka Singularities and Simple Singularities -- 4.8 Exercises -- 5 Holomorphic Foliations Given by Closed 1-Forms -- 5.1 Foliations Given by Closed Holomorphic 1-Forms -- 5.1.1 Holonomy of Foliations Defined by Closed Holomorphic 1-Forms -- 5.2 Foliations Given by Closed Meromorphic 1-Forms -- 5.2.1 Holonomy of Foliations Defined by Closed meromorphic 1-Forms -- 5.3 Exercises -- 6 Reduction of Singularities -- 6.1 Irreducible Singularities -- 6.2 Poincaré and Poincaré-Dulac Normal Forms -- 6.3 Blow-up at the Origin (Quadratic Blow-up) -- 6.4 Blow-up on Surfaces -- 6.4.1 Resolution of Curves -- 6.5 Blow-up of a Singular Point of a Foliation -- 6.6 Irreducible Singularities -- 6.7 Separatrices: Dicriticalness and Existence -- 6.8 Holonomy and Analytic Classification -- 6.8.1 Holonomy of Irreducible Singularities -- 6.8.2 Holonomy and Analytic Classification of Irreducible Singularities -- 6.9 Examples -- 6.10 Exercises -- 7 Holomorphic First Integrals -- 7.1 Mattei-Moussu Theorem.
7.2 Groups of Germs of Holomorphic Diffeomorphisms -- 7.3 Irreducible Singularities -- 7.4 The Case of a Single Blow-up -- 7.5 The General Case -- 7.6 Exercises -- 8 Dynamics of a Local Diffeomorphism -- 8.1 Hyperbolic Case -- 8.2 Parabolic Case -- 8.3 Elliptic Case -- 8.4 Exercises -- 9 Foliations on Complex Projective Spaces -- 9.1 The Complex Projective Plane and Foliations -- 9.2 The Theorem of Darboux-Jouanolou -- 9.3 Foliations Given by Closed 1-Forms -- 9.4 Riccati Foliations -- 9.5 Examples of Foliations on C P(2) -- 9.6 Example of an Action of a Low-dimensional Lie Algebra -- 9.7 A Family of Foliations on C P(3) Not Coming from Plane Foliations -- 9.8 Exercises -- 10 Foliations with Algebraic Limit Sets -- 10.1 Limit Sets of Foliations -- 10.2 Groups of Germs of Diffeomorphisms with Finite Limit Set -- 10.3 Virtual Holonomy Groups -- 10.4 Construction of Closed Meromorphic Forms -- 10.5 The Linearization Theorem -- 10.6 Examples -- 10.7 Exercises -- 11 Some Modern Questions -- 11.1 Holomorphic Flows on Stein Spaces -- 11.1.1 Suzuki's Theory -- 11.1.2 Proof of the Global Linearization Theorem -- 11.2 Real Transverse Sections of Holomorphic Foliations -- 11.3 Non-trivial Minimal Sets of Holomorphic Foliations -- 11.4 Transversely Homogeneous Holomorphic Foliations -- 11.4.1 Transversely Lie Foliations -- 11.5 Transversely Affine Foliations -- 11.6 Transversely Projective Foliations -- 11.6.1 Development of a Transversely Projective Foliation-Touzet's Work -- 11.6.2 Projective Structures and Differential Forms -- Proof of Proposition 11.6.5 -- Classification of Projective Foliations: Moderate Growth on Projective Manifolds -- 12 Miscellaneous Exercises and Some Open Questions -- 12.1 Miscellaneous Exercises -- 12.2 Some Open Questions -- Bibliography -- Index. |
Record Nr. | UNINA-9910512178803321 |
Scárdua Bruno
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Cham, Switzerland : , : Springer, , [2021] | ||
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Lo trovi qui: Univ. Federico II | ||
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Holomorphic functions, domains of holomorphy and local properties / Leopoldo Nachbin ; notes prepared by Richard M. Aron |
Autore | Nachbin, Leopoldo |
Pubbl/distr/stampa | Amsterdam : North-Holland, 1972 |
Descrizione fisica | vii, 122 p. ; 24 cm |
Disciplina | 515.94 |
Altri autori (Persone) | Aron, Richard M. |
Collana | North-Holland mathematics studies, 0304-0208 ; 1 |
Soggetto topico |
Domains of holomorphy
Holomorphic functions |
ISBN | 0720420415 |
Classificazione |
AMS 32A
AMS 32A10 AMS 32D05 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991000983699707536 |
Nachbin, Leopoldo
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Amsterdam : North-Holland, 1972 | ||
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Lo trovi qui: Univ. del Salento | ||
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Introduction to holomorphy / Jorge Alberto Barroso |
Autore | Barroso, Jorge Alberto |
Pubbl/distr/stampa | Amsterdam ; New York : North Holland, 1985 |
Descrizione fisica | xiv, 301 p. ; 24 cm |
Disciplina | 515.73 |
Collana |
North-Holland mathematics studies, 0304-0208 ; 106
Notas de matematica ; 98 |
Soggetto topico |
Domains of holomorphy
Normed linear spaces |
ISBN | 0444876669 |
Classificazione |
AMS 32D05
AMS 46B AMS 46G20 AMS 58C10 QA1 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991001018159707536 |
Barroso, Jorge Alberto
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Amsterdam ; New York : North Holland, 1985 | ||
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Lo trovi qui: Univ. del Salento | ||
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Measure and capacity of wandering domains in Gevrey near-integrable exact symplectic systems / / Laurent Lazzarini, Jean-Pierre Marco, David Sauzin |
Autore | Lazzarini Laurent <1971-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2019] |
Disciplina | 516.36 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Symplectic geometry
Symplectic groups Domains of holomorphy |
Soggetto genere / forma | Electronic books. |
ISBN | 1-4704-4953-6 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910479856703321 |
Lazzarini Laurent <1971->
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Providence, Rhode Island : , : American Mathematical Society, , [2019] | ||
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Lo trovi qui: Univ. Federico II | ||
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Measure and capacity of wandering domains in Gevrey near-integrable exact symplectic systems / / Laurent Lazzarini, Jean-Pierre Marco, David Sauzin |
Autore | Lazzarini Laurent <1971-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2019] |
Descrizione fisica | 1 online resource (pages cm.) |
Disciplina | 516.36 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Symplectic geometry
Symplectic groups Domains of holomorphy |
ISBN | 1-4704-4953-6 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910793452603321 |
Lazzarini Laurent <1971->
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Providence, Rhode Island : , : American Mathematical Society, , [2019] | ||
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Lo trovi qui: Univ. Federico II | ||
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