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Automorphisms of Riemann Surfaces, Subgroups of Mapping Class Groups and Related Topics
| Automorphisms of Riemann Surfaces, Subgroups of Mapping Class Groups and Related Topics |
| Autore | Wootton Aaron |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 2022 |
| Descrizione fisica | 1 online resource (366 pages) |
| Disciplina | 515/.93 |
| Altri autori (Persone) |
BroughtonS. Allen
PaulhusJennifer |
| Collana | Contemporary Mathematics |
| Soggetto topico |
Riemann surfaces
Automorphisms Group theory Functions of a complex variable -- Riemann surfaces Algebraic geometry -- Curves in algebraic geometry Group theory and generalizations -- Other groups of matrices -- Fuchsian groups and their generalizations (group-theoretic aspects) Group theory and generalizations -- Permutation groups -- Finite automorphism groups of algebraic, geometric, or combinatorial structures Number theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Arithmetic aspects of dessins d'enfants, Belyĭ theory Manifolds and cell complexes -- Low-dimensional topology in specific dimensions -- 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) |
| ISBN |
9781470467760
1470467763 |
| Classificazione | 30Fxx14Hxx20H1020B2511G3257K20 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover -- Title page -- Contents -- Preface -- The engaging symmetry of Riemann surfaces: A historical perspective -- 1. Introduction -- 2. Compact Riemann surfaces and their automorphisms -- 3. Hurwitz surfaces and groups and other interesting families -- 4. Maps and hypermaps -- 5. Dessins d'enfants and quasiplatonic surfaces -- 6. Connections with Galois theory -- References -- Future directions in automorphisms of surfaces, graphs, and other related topics -- 1. Introduction -- 2. Preliminaries -- 2.1. Conformal group actions on surfaces and their construction -- 2.1.1. Monodromy epimorphisms -- 2.1.2. Surface kernel epimorphisms -- 2.2. Equivalence of actions -- 3. Automorphism groups of Riemann surfaces -- 3.1. Classification results -- 3.2. Defining equations for surfaces and automorphisms -- 3.3. The genus spectrum of a group -- 3.4. Relationship with subgroups of mapping class groups -- 3.5. Full automorphism groups and maximal group orders -- 3.6. Signature realization -- 4. Families of Riemann surfaces and their moduli -- 4.1. Hurwitz spaces -- 4.2. Moduli and Teichmüller spaces -- 5. Curves -- 5.1. Extending results from hyperelliptic and superelliptic curves -- 5.2. Jacobian varieties -- 6. Graphs, dessins d'enfant and quasiplatonic surfaces -- 6.1. Dessins d'enfants -- 6.2. Quasiplatonic surfaces -- 6.3. Building surfaces and actions from a tiling -- 6.4. Further directions -- 7. Symmetries of surfaces -- 7.1. Symmetries of quasiplatonic surfaces -- 7.2. Existence of symmetries -- 7.3. Symmetric -gonal actions -- 8. Algorithms, computations, and explicit methods -- 8.1. Classifications -- 8.2. Equivalence relations -- 8.3. Problems on enumerating actions -- 9. Acknowledgments -- References -- Extending Harvey's surface kernel maps -- 1. Introduction -- 2. History and Methods -- 3. Notation -- 4. Harvey's results and Extensions.
5. Background: Summary of the Reidemeister-Schreier theory -- 6. Application of the Reidemeister-Schreier Theorem -- 7. The symmetric group ₃ and its multiplication table -- 8. Detailed Calculations for ₃ -- 9. Questions -- 10. Acknowledgments -- References -- A short proof of Greenberg's Theorem -- 1. Introduction -- 2. The proof -- 3. Remarks -- References -- Equivalence of finite group actions on Riemann surfaces and algebraic curves -- 1. Motivation and overview -- 2. Preliminaries -- 3. Rotation data of a -action -- 4. Equivalence of actions -- 5. Comparison of equivalence relations -- 6. Analysis of Conflation -- References -- Planar representations of group actions on surfaces -- 1. Introduction -- 2. Preliminaries -- 3. Skeletal uniqueness property -- 4. Skeletal signature spaces of SUP Groups: the strategy -- 5. The -SUP group case -- 6. The -SUP group case -- 7. The ²-SUP group case for odd -- 8. The 4-SUP group case -- Acknowledgments -- References -- Fiber product of Riemann surfaces -- 1. Introduction -- 2. The fiber product of Riemann surfaces -- 3. The strong field of moduli of the fiber product -- 4. Isogenous decomposition of the Jacobian variety of fiber products -- 5. Examples -- References -- One dimensional equisymmetric strata in moduli space -- 1. Introduction -- 2. Preliminaries -- 3. Covering -gonal strata by Hurwitz spaces -- 4. Case: Orbit genus 0 and 4 branch points -- References -- Arithmetic of dihedral origami -- 1. Introduction -- 2. Elliptic curve and origami set-up -- 3. Construction -- 4. Division polynomials -- 5. Galois representations -- 6. Diagram -- References -- Reduction of superelliptic Riemann surfaces -- 1. Introduction -- 2. Preliminaries -- 3. Reduction of the moduli point -- 4. Reduction of coefficients of binary forms -- 5. Concluding remarks -- References. Dessins d'enfants with a given bipartite graph -- 1. Introduction -- 2. Preliminaries -- 3. Proof of Theorem 1 -- 4. Some classical bipartite graphs -- Acknowledgment -- References -- On infinite octavalent polyhedral surfaces -- 1. Introduction -- 2. Background -- 3. 8(1,1,6) as Schwarz CLP minimal surface -- 4. A triangulated Swiss cross -- 5. Figure credits -- References -- Universal -gonal tessellations and their Petrie paths -- 1. Maps on surfaces -- 2. Algebraic maps -- 3. Universal maps and map subgroups -- 4. Hecke groups -- 5. Infinite periods -- 6. The universal -gonal map -- 7. Petrie paths -- 8. The special cases =4,6 -- 9. Even and odd vertices of Petrie paths -- 10. The principal Petrie paths of ℳ̂₅ -- References -- On the Riemann-Hurwitz formula for regular graph coverings -- 1. Introduction -- 2. Preliminary results and definitions -- 3. Groups acting on a graph without invertible edges -- 4. Groups acting on a graph with invertible edges -- Acknowledgments -- References -- Cyclic and dihedral actions on Klein surfaces with 2 boundary components -- 1. Introduction and preliminaries -- 2. The case odd -- 3. The case even: preliminary conditions -- 4. Cyclic groups -- 5. Dihedral groups -- 6. Concluding remarks -- References -- Finitely generated non-cocompact NEC groups -- 1. Introduction -- 2. Preliminaries -- 3. Surface symbols -- 4. Canonical presentation -- References -- Back Cover. |
| Record Nr. | UNINA-9910959086703321 |
Wootton Aaron
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| Providence : , : American Mathematical Society, , 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Complex geometry of groups : January 5-11, 1998, Olmué, Chile / / Angel Carocca, Víctor González-Aguilera, Rubí E. Rodríguez, editors
| Complex geometry of groups : January 5-11, 1998, Olmué, Chile / / Angel Carocca, Víctor González-Aguilera, Rubí E. Rodríguez, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1999] |
| Descrizione fisica | 1 online resource (298 p.) |
| Disciplina | 515/.93 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Rieman surfaces
Kleinian groups |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-7830-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Ramanujan partition identities""""A function theoretic approach to the Ramanujan partition identities with applications to combinatorial number theory""; ""Holomorphic motions and quasifuchsian manifolds""; ""Computation of topological numbers via linear algebra: Hypersurfaces, vector fields and vector fields on hypersurfaces""; ""Cyclic coverings of a smooth curve and Branch locus of the moduli space of smooth curves""; ""Subvarieties of moduli space for Riemann surfaces""; ""Noded function groups""; ""The hyperelliptic fibre of the Prym map in genus four"" |
| Record Nr. | UNINA-9910480260803321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1999] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Complex geometry of groups : January 5-11, 1998, Olmué, Chile / / Angel Carocca, Víctor González-Aguilera, Rubí E. Rodríguez, editors
| Complex geometry of groups : January 5-11, 1998, Olmué, Chile / / Angel Carocca, Víctor González-Aguilera, Rubí E. Rodríguez, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1999] |
| Descrizione fisica | 1 online resource (298 p.) |
| Disciplina | 515/.93 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Rieman surfaces
Kleinian groups |
| ISBN | 0-8218-7830-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Ramanujan partition identities""""A function theoretic approach to the Ramanujan partition identities with applications to combinatorial number theory""; ""Holomorphic motions and quasifuchsian manifolds""; ""Computation of topological numbers via linear algebra: Hypersurfaces, vector fields and vector fields on hypersurfaces""; ""Cyclic coverings of a smooth curve and Branch locus of the moduli space of smooth curves""; ""Subvarieties of moduli space for Riemann surfaces""; ""Noded function groups""; ""The hyperelliptic fibre of the Prym map in genus four"" |
| Record Nr. | UNINA-9910788651503321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1999] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Complex geometry of groups : January 5-11, 1998, Olmué, Chile / / Angel Carocca, Víctor González-Aguilera, Rubí E. Rodríguez, editors
| Complex geometry of groups : January 5-11, 1998, Olmué, Chile / / Angel Carocca, Víctor González-Aguilera, Rubí E. Rodríguez, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1999] |
| Descrizione fisica | 1 online resource (298 p.) |
| Disciplina | 515/.93 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Rieman surfaces
Kleinian groups |
| ISBN | 0-8218-7830-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Ramanujan partition identities""""A function theoretic approach to the Ramanujan partition identities with applications to combinatorial number theory""; ""Holomorphic motions and quasifuchsian manifolds""; ""Computation of topological numbers via linear algebra: Hypersurfaces, vector fields and vector fields on hypersurfaces""; ""Cyclic coverings of a smooth curve and Branch locus of the moduli space of smooth curves""; ""Subvarieties of moduli space for Riemann surfaces""; ""Noded function groups""; ""The hyperelliptic fibre of the Prym map in genus four"" |
| Record Nr. | UNINA-9910812583703321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1999] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Dynamics in one complex variable [[electronic resource] /] / by John Milnor
| Dynamics in one complex variable [[electronic resource] /] / by John Milnor |
| Autore | Milnor John W (John Willard), <1931-> |
| Edizione | [3rd ed.] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, 2006 |
| Descrizione fisica | 1 online resource (313 p.) |
| Disciplina |
515.93
515/.93 |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Functions of complex variables
Holomorphic mappings Riemann surfaces |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-283-00148-9
9786613001481 1-4008-3553-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Table Of Contents -- List of Figures -- Preface to the Third Edition -- Chronological Table -- Riemann Surfaces -- Iterated Holomorphic Maps -- Local Fixed Point Theory -- Periodic Points: Global Theory -- Structure of the Fatou Set -- Using the Fatou Set to Study the Julia Set -- Appendix A. Theorems from Classical Analysis -- Appendix B. Length-Area-Modulus Inequalities -- Appendix C. Rotations, Continued Fractions, and Rational Approximation -- Appendix D. Two or More Complex Variables -- Appendix E. Branched Coverings and Orbifolds -- Appendix F. No Wandering Fatou Components -- Appendix G. Parameter Spaces -- Appendix H. Computer Graphics and Effective Computation -- References -- Index |
| Record Nr. | UNINA-9910458985103321 |
|
Milnor John W (John Willard), <1931->
|
||
| Princeton, N.J., : Princeton University Press, 2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Dynamics in one complex variable [[electronic resource] /] / by John Milnor
| Dynamics in one complex variable [[electronic resource] /] / by John Milnor |
| Autore | Milnor John W (John Willard), <1931-> |
| Edizione | [3rd ed.] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, 2006 |
| Descrizione fisica | 1 online resource (313 p.) |
| Disciplina |
515.93
515/.93 |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Functions of complex variables
Holomorphic mappings Riemann surfaces |
| Soggetto non controllato |
Absolute value
Addition Algebraic equation Attractor Automorphism Beltrami equation Blaschke product Boundary (topology) Branched covering Coefficient Compact Riemann surface Compact space Complex analysis Complex number Complex plane Computation Connected component (graph theory) Connected space Constant function Continued fraction Continuous function Coordinate system Corollary Covering space Cross-ratio Derivative Diagram (category theory) Diameter Diffeomorphism Differentiable manifold Disjoint sets Disjoint union Disk (mathematics) Division by zero Equation Euler characteristic Existential quantification Exponential map (Lie theory) Fundamental group Harmonic function Holomorphic function Homeomorphism Hyperbolic geometry Inequality (mathematics) Integer Inverse function Irrational rotation Iteration Jordan curve theorem Julia set Lebesgue measure Lecture Limit point Line segment Linear map Linearization Mandelbrot set Mathematical analysis Maximum modulus principle Metric space Monotonic function Montel's theorem Normal family Open set Orbifold Parameter space Parameter Periodic point Point at infinity Polynomial Power series Proper map Quadratic function Rational approximation Rational function Rational number Real number Riemann sphere Riemann surface Root of unity Rotation number Schwarz lemma Scientific notation Sequence Simply connected space Special case Subgroup Subsequence Subset Summation Tangent space Theorem Topological space Topology Uniform convergence Uniformization theorem Unit circle Unit disk Upper half-plane Winding number |
| ISBN |
1-283-00148-9
9786613001481 1-4008-3553-4 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Table Of Contents -- List of Figures -- Preface to the Third Edition -- Chronological Table -- Riemann Surfaces -- Iterated Holomorphic Maps -- Local Fixed Point Theory -- Periodic Points: Global Theory -- Structure of the Fatou Set -- Using the Fatou Set to Study the Julia Set -- Appendix A. Theorems from Classical Analysis -- Appendix B. Length-Area-Modulus Inequalities -- Appendix C. Rotations, Continued Fractions, and Rational Approximation -- Appendix D. Two or More Complex Variables -- Appendix E. Branched Coverings and Orbifolds -- Appendix F. No Wandering Fatou Components -- Appendix G. Parameter Spaces -- Appendix H. Computer Graphics and Effective Computation -- References -- Index |
| Record Nr. | UNINA-9910791879203321 |
|
Milnor John W (John Willard), <1931->
|
||
| Princeton, N.J., : Princeton University Press, 2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Dynamics in one complex variable / / by John Milnor
| Dynamics in one complex variable / / by John Milnor |
| Autore | Milnor John W (John Willard), <1931-> |
| Edizione | [3rd ed.] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, 2006 |
| Descrizione fisica | 1 online resource (313 p.) |
| Disciplina |
515.93
515/.93 |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Functions of complex variables
Holomorphic mappings Riemann surfaces |
| ISBN |
9786613001481
9781283001489 1283001489 9781400835539 1400835534 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Table Of Contents -- List of Figures -- Preface to the Third Edition -- Chronological Table -- Riemann Surfaces -- Iterated Holomorphic Maps -- Local Fixed Point Theory -- Periodic Points: Global Theory -- Structure of the Fatou Set -- Using the Fatou Set to Study the Julia Set -- Appendix A. Theorems from Classical Analysis -- Appendix B. Length-Area-Modulus Inequalities -- Appendix C. Rotations, Continued Fractions, and Rational Approximation -- Appendix D. Two or More Complex Variables -- Appendix E. Branched Coverings and Orbifolds -- Appendix F. No Wandering Fatou Components -- Appendix G. Parameter Spaces -- Appendix H. Computer Graphics and Effective Computation -- References -- Index |
| Record Nr. | UNINA-9910953747203321 |
|
Milnor John W (John Willard), <1931->
|
||
| Princeton, N.J., : Princeton University Press, 2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Elliptic partial differential equations and quasiconformal mappings in the plane [[electronic resource] /] / Kari Astala, Tadeusz Iwaniec, and Gaven Martin
| Elliptic partial differential equations and quasiconformal mappings in the plane [[electronic resource] /] / Kari Astala, Tadeusz Iwaniec, and Gaven Martin |
| Autore | Astala Kari <1953-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, : Princeton University Press, c2009 |
| Descrizione fisica | 1 online resource (696 p.) |
| Disciplina | 515/.93 |
| Altri autori (Persone) |
IwaniecTadeusz
MartinGaven |
| Collana | Princeton mathematical series |
| Soggetto topico |
Differential equations, Elliptic
Quasiconformal mappings |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-282-15727-2
9786612157271 1-4008-3011-7 |
| Classificazione | SK 560 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter 1. Introduction -- Chapter 2. A Background In Conformal Geometry -- Chapter 3. The Foundations Of Quasiconformal Mappings -- Chapter 4. Complex Potentials -- Chapter 5. The Measurable Riemann Mapping Theorem: The Existence Theory Of Quasiconformal Mappings -- Chapter 6. Parameterizing General Linear Elliptic Systems -- Chapter 7. The Concept Of Ellipticity -- Chapter 8. Solving General Nonlinear First-Order Elliptic Systems -- Chapter 9. Nonlinear Riemann Mapping Theorems -- Chapter 10. Conformal Deformations And Beltrami Systems -- Chapter 11. A Quasilinear Cauchy Problem -- Chapter 12. Holomorphic Motions -- Chapter 13. Higher Integrability -- Chapter 14. Lp-Theory Of Beltrami Operators -- Chapter 15. Schauder Estimates For Beltrami Operators -- Chapter 16. Applications To Partial Differential Equations -- Chapter 17. PDEs Not Of Divergence Type: Pucci'S Conjecture -- Chapter 18. Quasiconformal Methods In Impedance Tomography: Calderón's Problem -- Chapter 19. Integral Estimates For The Jacobian -- Chapter 20. Solving The Beltrami Equation: Degenerate Elliptic Case -- Chapter 21. Aspects Of The Calculus Of Variations -- Appendix: Elements Of Sobolev Theory And Function Spaces -- Basic Notation -- Bibliography -- Index |
| Record Nr. | UNINA-9910455404403321 |
|
Astala Kari <1953->
|
||
| Princeton, : Princeton University Press, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Elliptic partial differential equations and quasiconformal mappings in the plane [[electronic resource] /] / Kari Astala, Tadeusz Iwaniec, and Gaven Martin
| Elliptic partial differential equations and quasiconformal mappings in the plane [[electronic resource] /] / Kari Astala, Tadeusz Iwaniec, and Gaven Martin |
| Autore | Astala Kari <1953-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, : Princeton University Press, c2009 |
| Descrizione fisica | 1 online resource (696 p.) |
| Disciplina | 515/.93 |
| Altri autori (Persone) |
IwaniecTadeusz
MartinGaven |
| Collana | Princeton mathematical series |
| Soggetto topico |
Differential equations, Elliptic
Quasiconformal mappings |
| Soggetto non controllato |
Adjoint equation
Analytic function Analytic proof Banach space Beltrami equation Boundary value problem Bounded mean oscillation Calculus of variations Cantor function Cartesian product Cauchy–Riemann equations Central limit theorem Characterization (mathematics) Complex analysis Complex plane Conformal geometry Conformal map Conjugate variables Continuous function (set theory) Coordinate space Degeneracy (mathematics) Differential equation Directional derivative Dirichlet integral Dirichlet problem Disk (mathematics) Distribution (mathematics) Elliptic operator Elliptic partial differential equation Equation Equations of motion Euler–Lagrange equation Explicit formulae (L-function) Factorization Fourier transform Fubini's theorem Geometric function theory Geometric measure theory Geometry Harmonic conjugate Harmonic function Harmonic map Harmonic measure Hilbert transform Holomorphic function Homeomorphism Hyperbolic geometry Hyperbolic trigonometry Invertible matrix Jacobian matrix and determinant Julia set Lagrangian (field theory) Laplace's equation Limit (mathematics) Linear differential equation Linear equation Linear fractional transformation Linear map Linearization Lipschitz continuity Locally integrable function Lusin's theorem Mathematical optimization Mathematics Maxima and minima Maxwell's equations Measure (mathematics) Metric space Mirror symmetry (string theory) Moduli space Modulus of continuity Monodromy theorem Monotonic function Montel's theorem Operator (physics) Operator theory Partial derivative Partial differential equation Poisson formula Polynomial Quadratic function Quasiconformal mapping Quasiconvex function Quasisymmetric function Renormalization Riemann sphere Riemann surface Riemannian geometry Riesz transform Riesz–Thorin theorem Sign (mathematics) Sobolev space Square-integrable function Support (mathematics) Theorem Two-dimensional space Uniformization theorem Upper half-plane Variable (mathematics) Weyl's lemma (Laplace equation) |
| ISBN |
1-282-15727-2
9786612157271 1-4008-3011-7 |
| Classificazione | SK 560 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter 1. Introduction -- Chapter 2. A Background In Conformal Geometry -- Chapter 3. The Foundations Of Quasiconformal Mappings -- Chapter 4. Complex Potentials -- Chapter 5. The Measurable Riemann Mapping Theorem: The Existence Theory Of Quasiconformal Mappings -- Chapter 6. Parameterizing General Linear Elliptic Systems -- Chapter 7. The Concept Of Ellipticity -- Chapter 8. Solving General Nonlinear First-Order Elliptic Systems -- Chapter 9. Nonlinear Riemann Mapping Theorems -- Chapter 10. Conformal Deformations And Beltrami Systems -- Chapter 11. A Quasilinear Cauchy Problem -- Chapter 12. Holomorphic Motions -- Chapter 13. Higher Integrability -- Chapter 14. Lp-Theory Of Beltrami Operators -- Chapter 15. Schauder Estimates For Beltrami Operators -- Chapter 16. Applications To Partial Differential Equations -- Chapter 17. PDEs Not Of Divergence Type: Pucci'S Conjecture -- Chapter 18. Quasiconformal Methods In Impedance Tomography: Calderón's Problem -- Chapter 19. Integral Estimates For The Jacobian -- Chapter 20. Solving The Beltrami Equation: Degenerate Elliptic Case -- Chapter 21. Aspects Of The Calculus Of Variations -- Appendix: Elements Of Sobolev Theory And Function Spaces -- Basic Notation -- Bibliography -- Index |
| Record Nr. | UNINA-9910778138403321 |
|
Astala Kari <1953->
|
||
| Princeton, : Princeton University Press, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Elliptic partial differential equations and quasiconformal mappings in the plane / / Kari Astala, Tadeusz Iwaniec, and Gaven Martin
| Elliptic partial differential equations and quasiconformal mappings in the plane / / Kari Astala, Tadeusz Iwaniec, and Gaven Martin |
| Autore | Astala Kari <1953-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, : Princeton University Press, c2009 |
| Descrizione fisica | 1 online resource (696 p.) |
| Disciplina | 515/.93 |
| Altri autori (Persone) |
IwaniecTadeusz
MartinGaven |
| Collana | Princeton mathematical series |
| Soggetto topico |
Differential equations, Elliptic
Quasiconformal mappings |
| ISBN |
9786612157271
9781282157279 1282157272 9781400830114 1400830117 |
| Classificazione | SK 560 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter 1. Introduction -- Chapter 2. A Background In Conformal Geometry -- Chapter 3. The Foundations Of Quasiconformal Mappings -- Chapter 4. Complex Potentials -- Chapter 5. The Measurable Riemann Mapping Theorem: The Existence Theory Of Quasiconformal Mappings -- Chapter 6. Parameterizing General Linear Elliptic Systems -- Chapter 7. The Concept Of Ellipticity -- Chapter 8. Solving General Nonlinear First-Order Elliptic Systems -- Chapter 9. Nonlinear Riemann Mapping Theorems -- Chapter 10. Conformal Deformations And Beltrami Systems -- Chapter 11. A Quasilinear Cauchy Problem -- Chapter 12. Holomorphic Motions -- Chapter 13. Higher Integrability -- Chapter 14. Lp-Theory Of Beltrami Operators -- Chapter 15. Schauder Estimates For Beltrami Operators -- Chapter 16. Applications To Partial Differential Equations -- Chapter 17. PDEs Not Of Divergence Type: Pucci'S Conjecture -- Chapter 18. Quasiconformal Methods In Impedance Tomography: Calderón's Problem -- Chapter 19. Integral Estimates For The Jacobian -- Chapter 20. Solving The Beltrami Equation: Degenerate Elliptic Case -- Chapter 21. Aspects Of The Calculus Of Variations -- Appendix: Elements Of Sobolev Theory And Function Spaces -- Basic Notation -- Bibliography -- Index |
| Record Nr. | UNINA-9910962558103321 |
|
Astala Kari <1953->
|
||
| Princeton, : Princeton University Press, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
