A Course in Point Set Topology / / by John B. Conway |
Autore | Conway John B |
Edizione | [1st ed. 2014.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014 |
Descrizione fisica | 1 online resource (XII, 142 p.) |
Disciplina | 514 |
Collana | Undergraduate Texts in Mathematics |
Soggetto topico | Topology |
ISBN | 3-319-02368-3 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Metric Spaces -- Topological Spaces -- Continuous Real-Valued Functions -- Appendix -- Bibliography -- Terms -- Symbols. |
Record Nr. | UNINA-9910300153103321 |
Conway John B | ||
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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Functions of One Complex Variable II [[electronic resource] /] / by John B. Conway |
Autore | Conway John B |
Edizione | [1st ed. 1995.] |
Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 1995 |
Descrizione fisica | 1 online resource (XVI, 396 p.) |
Disciplina | 515.96 |
Collana | Graduate Texts in Mathematics |
Soggetto topico |
Potential theory (Mathematics)
Potential Theory |
ISBN | 1-4612-0817-3 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | of Volume II -- 13 Return to Basics -- 1 Regions and Curves -- 2 Derivatives and Other Recollections -- 3 Harmonic Conjugates and Primitives -- 4 Analytic Arcs and the Reflection Principle -- 5 Boundary Values for Bounded Analytic Functions -- 14 Conformal Equivalence for Simply Connected Regions -- 1 Elementary Properties and Examples -- 2 Crosscuts -- 3 Prime Ends -- 4 Impressions of a Prime End -- 5 Boundary Values of Riemann Maps -- 6 The Area Theorem -- 7 Disk Mappings: The Class S -- 15 Conformal Equivalence for Finitely Connected Regions -- 1 Analysis on a Finitely Connected Region -- 2 Conformal Equivalence with an Analytic Jordan Region -- 3 Boundary Values for a Conformal Equivalence Between Finitely Connected Jordan Regions -- 4 Convergence of Univalent Functions -- 5 Conformal Equivalence with a Circularly Slit Annulus -- 6 Conformal Equivalence with a Circularly Slit Disk -- 7 Conformal Equivalence with a Circular Region -- 16 Analytic Covering Maps -- 1 Results for Abstract Covering Spaces -- 2 Analytic Covering Spaces -- 3 The Modular Function -- 4 Applications of the Modular Function -- 5 The Existence of the Universal Analytic Covering Map -- 17 De Branges’s Proof of the Bieberbach Conjecture -- 1 Subordination -- 2 Loewner Chains -- 3 Loewner’s Differential Equation -- 4 The Milin Conjecture -- 5 Some Special Functions -- 6 The Proof of de Branges’s Theorem -- 18 Some Fundamental Concepts from Analysis -- 1 Bergman Spaces of Analytic and Harmonic Functions -- 2 Partitions of Unity -- 3 Convolution in Euclidean Space -- 4 Distributions -- 5 The Cauchy Transform -- 6 An Application: Rational Approximation -- 7 Fourier Series and Cesàro Sums -- 19 Harmonic Functions Redux -- 1 Harmonic Functions on the Disk -- 2 Fatou’s Theorem -- 3 Semicontinuous Functions -- 4 Subharmonic Functions -- 5 The Logarithmic Potential -- 6 An Application: Approximation by Harmonic Functions -- 7 The Dirichlet Problem -- 8 Harmonic Majorants -- 9 The Green Function -- 10 Regular Points for the Dirichlet Problem -- 11 The Dirichlet Principle and Sobolev Spaces -- 20 Hardy Spaces on the Disk -- 1 Definitions and Elementary Properties -- 2 The Nevanlinna Class -- 3 Factorization of Functions in the Nevanlinna Class -- 4 The Disk Algebra -- 5 The Invariant Subspaces of Hp -- 6 Szegö’s Theorem -- 21 Potential Theory in the Plane -- 1 Harmonic Measure -- 2 The Sweep of a Measure -- 3 The Robin Constant -- 4 The Green Potential -- 5 Polar Sets -- 6 More on Regular Points -- 7 Logarithmic Capacity: Part 1 -- 8 Some Applications and Examples of Logarithmic Capacity -- 9 Removable Singularities for Functions in the Bergman Space -- 10 Logarithmic Capacity: Part 2 -- 11 The Transfinite Diameter and Logarithmic Capacity -- 12 The Refinement of a Subharmonic Function -- 13 The Fine Topology -- 14 Wiener’s criterion for Regular Points -- References -- List of Symbols. |
Record Nr. | UNINA-9910481017703321 |
Conway John B | ||
New York, NY : , : Springer New York : , : Imprint : Springer, , 1995 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Functions of One Complex Variable II [[electronic resource] /] / by John B. Conway |
Autore | Conway John B |
Edizione | [1st ed. 1995.] |
Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 1995 |
Descrizione fisica | 1 online resource (XVI, 396 p.) |
Disciplina | 515.96 |
Collana | Graduate Texts in Mathematics |
Soggetto topico |
Potential theory (Mathematics)
Potential Theory |
ISBN | 1-4612-0817-3 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | of Volume II -- 13 Return to Basics -- 1 Regions and Curves -- 2 Derivatives and Other Recollections -- 3 Harmonic Conjugates and Primitives -- 4 Analytic Arcs and the Reflection Principle -- 5 Boundary Values for Bounded Analytic Functions -- 14 Conformal Equivalence for Simply Connected Regions -- 1 Elementary Properties and Examples -- 2 Crosscuts -- 3 Prime Ends -- 4 Impressions of a Prime End -- 5 Boundary Values of Riemann Maps -- 6 The Area Theorem -- 7 Disk Mappings: The Class S -- 15 Conformal Equivalence for Finitely Connected Regions -- 1 Analysis on a Finitely Connected Region -- 2 Conformal Equivalence with an Analytic Jordan Region -- 3 Boundary Values for a Conformal Equivalence Between Finitely Connected Jordan Regions -- 4 Convergence of Univalent Functions -- 5 Conformal Equivalence with a Circularly Slit Annulus -- 6 Conformal Equivalence with a Circularly Slit Disk -- 7 Conformal Equivalence with a Circular Region -- 16 Analytic Covering Maps -- 1 Results for Abstract Covering Spaces -- 2 Analytic Covering Spaces -- 3 The Modular Function -- 4 Applications of the Modular Function -- 5 The Existence of the Universal Analytic Covering Map -- 17 De Branges’s Proof of the Bieberbach Conjecture -- 1 Subordination -- 2 Loewner Chains -- 3 Loewner’s Differential Equation -- 4 The Milin Conjecture -- 5 Some Special Functions -- 6 The Proof of de Branges’s Theorem -- 18 Some Fundamental Concepts from Analysis -- 1 Bergman Spaces of Analytic and Harmonic Functions -- 2 Partitions of Unity -- 3 Convolution in Euclidean Space -- 4 Distributions -- 5 The Cauchy Transform -- 6 An Application: Rational Approximation -- 7 Fourier Series and Cesàro Sums -- 19 Harmonic Functions Redux -- 1 Harmonic Functions on the Disk -- 2 Fatou’s Theorem -- 3 Semicontinuous Functions -- 4 Subharmonic Functions -- 5 The Logarithmic Potential -- 6 An Application: Approximation by Harmonic Functions -- 7 The Dirichlet Problem -- 8 Harmonic Majorants -- 9 The Green Function -- 10 Regular Points for the Dirichlet Problem -- 11 The Dirichlet Principle and Sobolev Spaces -- 20 Hardy Spaces on the Disk -- 1 Definitions and Elementary Properties -- 2 The Nevanlinna Class -- 3 Factorization of Functions in the Nevanlinna Class -- 4 The Disk Algebra -- 5 The Invariant Subspaces of Hp -- 6 Szegö’s Theorem -- 21 Potential Theory in the Plane -- 1 Harmonic Measure -- 2 The Sweep of a Measure -- 3 The Robin Constant -- 4 The Green Potential -- 5 Polar Sets -- 6 More on Regular Points -- 7 Logarithmic Capacity: Part 1 -- 8 Some Applications and Examples of Logarithmic Capacity -- 9 Removable Singularities for Functions in the Bergman Space -- 10 Logarithmic Capacity: Part 2 -- 11 The Transfinite Diameter and Logarithmic Capacity -- 12 The Refinement of a Subharmonic Function -- 13 The Fine Topology -- 14 Wiener’s criterion for Regular Points -- References -- List of Symbols. |
Record Nr. | UNINA-9910789342703321 |
Conway John B | ||
New York, NY : , : Springer New York : , : Imprint : Springer, , 1995 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Functions of One Complex Variable II [[electronic resource] /] / by John B. Conway |
Autore | Conway John B |
Edizione | [1st ed. 1995.] |
Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 1995 |
Descrizione fisica | 1 online resource (XVI, 396 p.) |
Disciplina | 515.96 |
Collana | Graduate Texts in Mathematics |
Soggetto topico |
Potential theory (Mathematics)
Potential Theory |
ISBN | 1-4612-0817-3 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | of Volume II -- 13 Return to Basics -- 1 Regions and Curves -- 2 Derivatives and Other Recollections -- 3 Harmonic Conjugates and Primitives -- 4 Analytic Arcs and the Reflection Principle -- 5 Boundary Values for Bounded Analytic Functions -- 14 Conformal Equivalence for Simply Connected Regions -- 1 Elementary Properties and Examples -- 2 Crosscuts -- 3 Prime Ends -- 4 Impressions of a Prime End -- 5 Boundary Values of Riemann Maps -- 6 The Area Theorem -- 7 Disk Mappings: The Class S -- 15 Conformal Equivalence for Finitely Connected Regions -- 1 Analysis on a Finitely Connected Region -- 2 Conformal Equivalence with an Analytic Jordan Region -- 3 Boundary Values for a Conformal Equivalence Between Finitely Connected Jordan Regions -- 4 Convergence of Univalent Functions -- 5 Conformal Equivalence with a Circularly Slit Annulus -- 6 Conformal Equivalence with a Circularly Slit Disk -- 7 Conformal Equivalence with a Circular Region -- 16 Analytic Covering Maps -- 1 Results for Abstract Covering Spaces -- 2 Analytic Covering Spaces -- 3 The Modular Function -- 4 Applications of the Modular Function -- 5 The Existence of the Universal Analytic Covering Map -- 17 De Branges’s Proof of the Bieberbach Conjecture -- 1 Subordination -- 2 Loewner Chains -- 3 Loewner’s Differential Equation -- 4 The Milin Conjecture -- 5 Some Special Functions -- 6 The Proof of de Branges’s Theorem -- 18 Some Fundamental Concepts from Analysis -- 1 Bergman Spaces of Analytic and Harmonic Functions -- 2 Partitions of Unity -- 3 Convolution in Euclidean Space -- 4 Distributions -- 5 The Cauchy Transform -- 6 An Application: Rational Approximation -- 7 Fourier Series and Cesàro Sums -- 19 Harmonic Functions Redux -- 1 Harmonic Functions on the Disk -- 2 Fatou’s Theorem -- 3 Semicontinuous Functions -- 4 Subharmonic Functions -- 5 The Logarithmic Potential -- 6 An Application: Approximation by Harmonic Functions -- 7 The Dirichlet Problem -- 8 Harmonic Majorants -- 9 The Green Function -- 10 Regular Points for the Dirichlet Problem -- 11 The Dirichlet Principle and Sobolev Spaces -- 20 Hardy Spaces on the Disk -- 1 Definitions and Elementary Properties -- 2 The Nevanlinna Class -- 3 Factorization of Functions in the Nevanlinna Class -- 4 The Disk Algebra -- 5 The Invariant Subspaces of Hp -- 6 Szegö’s Theorem -- 21 Potential Theory in the Plane -- 1 Harmonic Measure -- 2 The Sweep of a Measure -- 3 The Robin Constant -- 4 The Green Potential -- 5 Polar Sets -- 6 More on Regular Points -- 7 Logarithmic Capacity: Part 1 -- 8 Some Applications and Examples of Logarithmic Capacity -- 9 Removable Singularities for Functions in the Bergman Space -- 10 Logarithmic Capacity: Part 2 -- 11 The Transfinite Diameter and Logarithmic Capacity -- 12 The Refinement of a Subharmonic Function -- 13 The Fine Topology -- 14 Wiener’s criterion for Regular Points -- References -- List of Symbols. |
Record Nr. | UNINA-9910819099003321 |
Conway John B | ||
New York, NY : , : Springer New York : , : Imprint : Springer, , 1995 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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