Analisi complessa e mappe conformi. Tesi di laurea triennale = Complex analysis and conformal mappings / laureando: Antonio Aramini ; relatore: Antonio Leaci
| Analisi complessa e mappe conformi. Tesi di laurea triennale = Complex analysis and conformal mappings / laureando: Antonio Aramini ; relatore: Antonio Leaci |
| Autore | Aramini, Antonio |
| Pubbl/distr/stampa | Lecce : Università del Salento. Dipartimento di Matematica e Fisica "Ennio De Giorgi". Corso di laurea in Matematica, a.a. 2018-19 |
| Descrizione fisica | 30 carte ; 30 cm |
| Disciplina | 515.9 |
| Altri autori (Persone) | Leaci, Antonio |
| Soggetto topico |
Conformal mapping
Functions of complex variables |
| Classificazione |
AMS 30C35
AMS 30A05 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | ita |
| Record Nr. | UNISALENTO-991004382235607536 |
Aramini, Antonio
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| Lecce : Università del Salento. Dipartimento di Matematica e Fisica "Ennio De Giorgi". Corso di laurea in Matematica, a.a. 2018-19 | ||
| Lo trovi qui: Univ. del Salento | ||
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The Beltrami equation / / Tadeusz Iwaniec, Gaven Martin
| The Beltrami equation / / Tadeusz Iwaniec, Gaven Martin |
| Autore | Iwaniec Tadeusz |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2008] |
| Descrizione fisica | 1 online resource (110 p.) |
| Disciplina | 515.3533 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Conformal mapping
Differential equations, Partial Geometry, Non-Euclidean |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0499-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Quasiconformal Mappings""; ""2.1. Analytic Definition of Quasiconformality""; ""2.2. The Beltrami Equation""; ""2.3. Radial Stretchings""; ""2.4. Classical Regularity Theory""; ""Chapter 3. Partial Differential Equations""; ""3.1. The Transformation Formula""; ""3.2. A Fundamental Example""; ""3.3. The Construction""; ""3.4. Cavitation and Riemann Surfaces""; ""Chapter 4. Mappings of Finite Distortion""; ""4.1. Orlicz-Sobolev Spaces""; ""4.2. Monotonicity""; ""4.3. A Class of Orlicz Functions""; ""4.4. The Monotonicity Theorem""
""4.5. Modulus of Continuity""""Chapter 5. Hardy Spaces and BMO""; ""5.1. Mollifiers""; ""5.2. Hardy-Orlicz Spaces""; ""5.3. BMO""; ""5.4. L log L�Integr ability""; ""5.5. Liouville Type Theorems""; ""Chapter 6. The Principal Solution""; ""6.1. Solutions""; ""6.2. Uniqueness of Principal Solutions""; ""6.3. Stoilow Factorization""; ""Chapter 7. Solutions for Integrable Distortion""; ""7.1. Distortion in the Exponential Class""; ""7.2. An Example""; ""7.3. Results""; ""7.4. Distortion in the Subexponential Class""; ""7.5. An Example""; ""7.6. Further Generalities""; ""7.7. Existence Theory"" ""7.8. Global Solutions""""7.9. Holomorphic Dependence""; ""7.10. Examples and Non-Uniqueness""; ""7.11. Equations in the Plane""; ""7.12. Compactness""; ""7.13. Removable Singularities""; ""7.14. Final Comments""; ""Chapter 8. Some Technical Results""; ""8.1. The Divergence Condition""; ""8.2. Integration by Parts""; ""8.3. Higher Integrability""; ""Bibliography"" |
| Record Nr. | UNINA-9910479858003321 |
Iwaniec Tadeusz
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||
| Providence, Rhode Island : , : American Mathematical Society, , [2008] | ||
| Lo trovi qui: Univ. Federico II | ||
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The Beltrami equation / / Tadeusz Iwaniec, Gaven Martin
| The Beltrami equation / / Tadeusz Iwaniec, Gaven Martin |
| Autore | Iwaniec Tadeusz |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2008] |
| Descrizione fisica | 1 online resource (110 p.) |
| Disciplina | 515.3533 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Conformal mapping
Differential equations, Partial Geometry, Non-Euclidean |
| ISBN | 1-4704-0499-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Quasiconformal Mappings""; ""2.1. Analytic Definition of Quasiconformality""; ""2.2. The Beltrami Equation""; ""2.3. Radial Stretchings""; ""2.4. Classical Regularity Theory""; ""Chapter 3. Partial Differential Equations""; ""3.1. The Transformation Formula""; ""3.2. A Fundamental Example""; ""3.3. The Construction""; ""3.4. Cavitation and Riemann Surfaces""; ""Chapter 4. Mappings of Finite Distortion""; ""4.1. Orlicz-Sobolev Spaces""; ""4.2. Monotonicity""; ""4.3. A Class of Orlicz Functions""; ""4.4. The Monotonicity Theorem""
""4.5. Modulus of Continuity""""Chapter 5. Hardy Spaces and BMO""; ""5.1. Mollifiers""; ""5.2. Hardy-Orlicz Spaces""; ""5.3. BMO""; ""5.4. L log L�Integr ability""; ""5.5. Liouville Type Theorems""; ""Chapter 6. The Principal Solution""; ""6.1. Solutions""; ""6.2. Uniqueness of Principal Solutions""; ""6.3. Stoilow Factorization""; ""Chapter 7. Solutions for Integrable Distortion""; ""7.1. Distortion in the Exponential Class""; ""7.2. An Example""; ""7.3. Results""; ""7.4. Distortion in the Subexponential Class""; ""7.5. An Example""; ""7.6. Further Generalities""; ""7.7. Existence Theory"" ""7.8. Global Solutions""""7.9. Holomorphic Dependence""; ""7.10. Examples and Non-Uniqueness""; ""7.11. Equations in the Plane""; ""7.12. Compactness""; ""7.13. Removable Singularities""; ""7.14. Final Comments""; ""Chapter 8. Some Technical Results""; ""8.1. The Divergence Condition""; ""8.2. Integration by Parts""; ""8.3. Higher Integrability""; ""Bibliography"" |
| Record Nr. | UNINA-9910788851203321 |
Iwaniec Tadeusz
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2008] | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The Beltrami equation / / Tadeusz Iwaniec, Gaven Martin
| The Beltrami equation / / Tadeusz Iwaniec, Gaven Martin |
| Autore | Iwaniec Tadeusz |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2008] |
| Descrizione fisica | 1 online resource (110 p.) |
| Disciplina | 515.3533 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Conformal mapping
Differential equations, Partial Geometry, Non-Euclidean |
| ISBN | 1-4704-0499-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Quasiconformal Mappings""; ""2.1. Analytic Definition of Quasiconformality""; ""2.2. The Beltrami Equation""; ""2.3. Radial Stretchings""; ""2.4. Classical Regularity Theory""; ""Chapter 3. Partial Differential Equations""; ""3.1. The Transformation Formula""; ""3.2. A Fundamental Example""; ""3.3. The Construction""; ""3.4. Cavitation and Riemann Surfaces""; ""Chapter 4. Mappings of Finite Distortion""; ""4.1. Orlicz-Sobolev Spaces""; ""4.2. Monotonicity""; ""4.3. A Class of Orlicz Functions""; ""4.4. The Monotonicity Theorem""
""4.5. Modulus of Continuity""""Chapter 5. Hardy Spaces and BMO""; ""5.1. Mollifiers""; ""5.2. Hardy-Orlicz Spaces""; ""5.3. BMO""; ""5.4. L log L�Integr ability""; ""5.5. Liouville Type Theorems""; ""Chapter 6. The Principal Solution""; ""6.1. Solutions""; ""6.2. Uniqueness of Principal Solutions""; ""6.3. Stoilow Factorization""; ""Chapter 7. Solutions for Integrable Distortion""; ""7.1. Distortion in the Exponential Class""; ""7.2. An Example""; ""7.3. Results""; ""7.4. Distortion in the Subexponential Class""; ""7.5. An Example""; ""7.6. Further Generalities""; ""7.7. Existence Theory"" ""7.8. Global Solutions""""7.9. Holomorphic Dependence""; ""7.10. Examples and Non-Uniqueness""; ""7.11. Equations in the Plane""; ""7.12. Compactness""; ""7.13. Removable Singularities""; ""7.14. Final Comments""; ""Chapter 8. Some Technical Results""; ""8.1. The Divergence Condition""; ""8.2. Integration by Parts""; ""8.3. Higher Integrability""; ""Bibliography"" |
| Record Nr. | UNINA-9910828650603321 |
Iwaniec Tadeusz
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| Providence, Rhode Island : , : American Mathematical Society, , [2008] | ||
| Lo trovi qui: Univ. Federico II | ||
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Boundary behaviour of conformal maps / Ch. Pommerenke
| Boundary behaviour of conformal maps / Ch. Pommerenke |
| Autore | Pommerenke, Christian |
| Pubbl/distr/stampa | Berlin : Springer-Verlag, c1992 |
| Descrizione fisica | ix, 300 p. : ill. ; 25 cm. |
| Disciplina | 515.93 |
| Collana | Grundlehren der mathematischen Wissenschaften = A series of comprehensive studies in mathematics, 0072-7830 ; 299 |
| Soggetto topico |
Boundary value problems
Conformal mapping |
| ISBN | 3540547517 |
| Classificazione |
AMS 28A78
AMS 30C AMS 30D40 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000721279707536 |
Pommerenke, Christian
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| Berlin : Springer-Verlag, c1992 | ||
| Lo trovi qui: Univ. del Salento | ||
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Capacity functions / L. Sario, K. Oikawa
| Capacity functions / L. Sario, K. Oikawa |
| Autore | Sario, Leo |
| Pubbl/distr/stampa | Berlin : Springer-Verlag, 1969 |
| Descrizione fisica | xvii, 361 p. ; 24 cm. |
| Disciplina | 515.42 |
| Altri autori (Persone) | Oikawa, Kotaro |
| Collana | Grundlehren der mathematischen Wissenschaften = A series of comprehensive studies in mathematics, 0072-7830 ; 149 |
| Soggetto topico |
Conformal mapping
Harmonic functions Riemann surfaces |
| Classificazione | AMS 28A12 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000731479707536 |
Sario, Leo
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| Berlin : Springer-Verlag, 1969 | ||
| Lo trovi qui: Univ. del Salento | ||
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Conformal and harmonic measures on laminations associated with rational maps / / Vadim A. Kaimanovich, Mikhail Lyubich
| Conformal and harmonic measures on laminations associated with rational maps / / Vadim A. Kaimanovich, Mikhail Lyubich |
| Autore | Kaimanovich Vadim A. |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2005 |
| Descrizione fisica | 1 online resource (134 p.) |
| Disciplina |
510 s
515/.9 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Conformal mapping
Geometry, Hyperbolic Measure theory Differential topology Complex manifolds Hyperbolic spaces Kleinian groups |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0421-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Chapter 1. Affine and hyperbolic laminations""; ""1.1. Afflne plane and hyperbolic space""; ""1.2. The notion of lamination""; ""1.3. Cohomology of an affine lamination""; ""Chapter 2. Measures and currents on laminations""; ""2.1. Measures on general laminations""; ""2.2. Measures and streams on affine and hyperbolic laminations""; ""2.3. Conformal streams, harmonic measures and harmonic functions""; ""2.4. Measures and streams on quotient laminations""; ""Chapter 3. Laminations associated with rational maps""; ""3.1. Construction of the affine lamination""
""3.2. The Busemann and basic cocycles of a rational map""""3.3. An example of a special section""; ""3.4. Dual basic cocycle""; ""3.5. Euclidean laminations""; ""Chapter 4. Measures on laminations associated with rational maps""; ""4.1. The balanced measures""; ""4.2. Equidistribution of leaves""; ""4.3. Critical exponent""; ""4.4. Transverse conformal stream and λ-harmonic measure""; ""4.5. Leafwise conformal streams""; ""4.6. Sullivan's Riemann surface laminations""; ""4.7. Problems""; ""Appendix A. Laminations associated with Kleinian groups"" ""A.1. Foliations associated with the hyperbolic space""""A.2. Laminations associated with Kleinian groups""; ""A.3. Metrics on the Riemann sphere""; ""A.4. Conformal streams and invariant measures of the geodesic flow""; ""A.5. New lines in the dictionary""; ""A.6. An example of a non-Euclidean affine foliation""; ""List of notations""; ""Bibliography"" |
| Record Nr. | UNINA-9910480533903321 |
Kaimanovich Vadim A.
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| Providence, Rhode Island : , : American Mathematical Society, , 2005 | ||
| Lo trovi qui: Univ. Federico II | ||
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Conformal and harmonic measures on laminations associated with rational maps / / Vadim A. Kaimanovich, Mikhail Lyubich
| Conformal and harmonic measures on laminations associated with rational maps / / Vadim A. Kaimanovich, Mikhail Lyubich |
| Autore | Kaimanovich Vadim A. |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2005 |
| Descrizione fisica | 1 online resource (134 p.) |
| Disciplina |
510 s
515/.9 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Conformal mapping
Geometry, Hyperbolic Measure theory Differential topology Complex manifolds Hyperbolic spaces Kleinian groups |
| ISBN | 1-4704-0421-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Chapter 1. Affine and hyperbolic laminations""; ""1.1. Afflne plane and hyperbolic space""; ""1.2. The notion of lamination""; ""1.3. Cohomology of an affine lamination""; ""Chapter 2. Measures and currents on laminations""; ""2.1. Measures on general laminations""; ""2.2. Measures and streams on affine and hyperbolic laminations""; ""2.3. Conformal streams, harmonic measures and harmonic functions""; ""2.4. Measures and streams on quotient laminations""; ""Chapter 3. Laminations associated with rational maps""; ""3.1. Construction of the affine lamination""
""3.2. The Busemann and basic cocycles of a rational map""""3.3. An example of a special section""; ""3.4. Dual basic cocycle""; ""3.5. Euclidean laminations""; ""Chapter 4. Measures on laminations associated with rational maps""; ""4.1. The balanced measures""; ""4.2. Equidistribution of leaves""; ""4.3. Critical exponent""; ""4.4. Transverse conformal stream and λ-harmonic measure""; ""4.5. Leafwise conformal streams""; ""4.6. Sullivan's Riemann surface laminations""; ""4.7. Problems""; ""Appendix A. Laminations associated with Kleinian groups"" ""A.1. Foliations associated with the hyperbolic space""""A.2. Laminations associated with Kleinian groups""; ""A.3. Metrics on the Riemann sphere""; ""A.4. Conformal streams and invariant measures of the geodesic flow""; ""A.5. New lines in the dictionary""; ""A.6. An example of a non-Euclidean affine foliation""; ""List of notations""; ""Bibliography"" |
| Record Nr. | UNINA-9910788748703321 |
Kaimanovich Vadim A.
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||
| Providence, Rhode Island : , : American Mathematical Society, , 2005 | ||
| Lo trovi qui: Univ. Federico II | ||
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Conformal and harmonic measures on laminations associated with rational maps / / Vadim A. Kaimanovich, Mikhail Lyubich
| Conformal and harmonic measures on laminations associated with rational maps / / Vadim A. Kaimanovich, Mikhail Lyubich |
| Autore | Kaimanovich Vadim A. |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2005 |
| Descrizione fisica | 1 online resource (134 p.) |
| Disciplina |
510 s
515/.9 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Conformal mapping
Geometry, Hyperbolic Measure theory Differential topology Complex manifolds Hyperbolic spaces Kleinian groups |
| ISBN | 1-4704-0421-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Chapter 1. Affine and hyperbolic laminations""; ""1.1. Afflne plane and hyperbolic space""; ""1.2. The notion of lamination""; ""1.3. Cohomology of an affine lamination""; ""Chapter 2. Measures and currents on laminations""; ""2.1. Measures on general laminations""; ""2.2. Measures and streams on affine and hyperbolic laminations""; ""2.3. Conformal streams, harmonic measures and harmonic functions""; ""2.4. Measures and streams on quotient laminations""; ""Chapter 3. Laminations associated with rational maps""; ""3.1. Construction of the affine lamination""
""3.2. The Busemann and basic cocycles of a rational map""""3.3. An example of a special section""; ""3.4. Dual basic cocycle""; ""3.5. Euclidean laminations""; ""Chapter 4. Measures on laminations associated with rational maps""; ""4.1. The balanced measures""; ""4.2. Equidistribution of leaves""; ""4.3. Critical exponent""; ""4.4. Transverse conformal stream and λ-harmonic measure""; ""4.5. Leafwise conformal streams""; ""4.6. Sullivan's Riemann surface laminations""; ""4.7. Problems""; ""Appendix A. Laminations associated with Kleinian groups"" ""A.1. Foliations associated with the hyperbolic space""""A.2. Laminations associated with Kleinian groups""; ""A.3. Metrics on the Riemann sphere""; ""A.4. Conformal streams and invariant measures of the geodesic flow""; ""A.5. New lines in the dictionary""; ""A.6. An example of a non-Euclidean affine foliation""; ""List of notations""; ""Bibliography"" |
| Record Nr. | UNINA-9910812425703321 |
Kaimanovich Vadim A.
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| Providence, Rhode Island : , : American Mathematical Society, , 2005 | ||
| Lo trovi qui: Univ. Federico II | ||
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Conformal geometry of surfaces in S [superscript] 4 and quaternions / F. E. Burstall ... [et al.]
| Conformal geometry of surfaces in S [superscript] 4 and quaternions / F. E. Burstall ... [et al.] |
| Autore | Burstall, Francis E. |
| Pubbl/distr/stampa | Berlin : Springer-Verlag, c2002 |
| Descrizione fisica | viii, 86 p. ; 24 cm |
| Disciplina | 516.36 |
| Collana | Lecture notes in mathematics, 0075-8434 ; 1772 |
| Soggetto topico |
Conformal mapping
Quaternions |
| ISBN | 3540430083 |
| Classificazione |
AMS 53A30
AMS 53C AMS 53C42 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991003675059707536 |
Burstall, Francis E.
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| Berlin : Springer-Verlag, c2002 | ||
| Lo trovi qui: Univ. del Salento | ||
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