Differential algebra, complex analysis and orthogonal polynomials : Jairo Charris Seminar 2007-2008, Escuela de Matemáticas, Universidad Sergio Arboleda, Bogotá, Colombia / / Primitivo B. Acosta-Humánez, Francisco Marcellán, editors
| Differential algebra, complex analysis and orthogonal polynomials : Jairo Charris Seminar 2007-2008, Escuela de Matemáticas, Universidad Sergio Arboleda, Bogotá, Colombia / / Primitivo B. Acosta-Humánez, Francisco Marcellán, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society |
| Descrizione fisica | 1 online resource (241 p.) |
| Disciplina | 515/.39 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Differentiable dynamical systems
Orthogonal polynomials |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-8218-8188-4
0-8218-4886-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Differential Galois Theory of Algebraic Lie-Vessiot Systems""; ""1. Introduction""; ""2. Algebraic Groups and Homogeneous Spaces""; ""3. Differential Algebraic Geometry""; ""4. Galois theory of Algebraic Lie-Vessiot Systems""; ""5. Algebraic Reduction and Integration""; ""6. Integrability of Linear Equations""; ""Appendix A. Stalk formula for affine morphisms""; ""References""; ""Recent Trends on Two Variable Orthogonal Polynomials""; ""1. Introduction""; ""2. Algebraic properties of orthogonal polynomials in two variables""
""3. Orthogonal polynomials in two variables and eigenfunctions of second order partial differential equations""""4. Extended definition of classical orthogonal polynomials in two variables""; ""5. Semiclassical orthogonal polynomials in two variables""; ""6. Sobolev orthogonal polynomials in several variables""; ""7. Open problems""; ""8. Acknowledgements""; ""References""; ""On the Integrability of the Riccati Equation""; ""1. Introduction""; ""2. Symmetries to the one-parameter family of Riccati equations (1.2)""; ""3. Applications""; ""4. conclusions""; ""References"" ""Two Discrete Systems of q-orthogonal Polynomials""""Like-hyperbolic Bloch-Bergman Classes""; ""1. Introduction""; ""2. Properties of Bα*A""; ""3. Characterizations for α-Bloch-Bergman classes""; ""4. Carleson and series characterization of Bα* A and Bα*A,0""; ""5. Properties of Bα*A""; ""References""; ""Some words about the application of Tchebycheff systems to Weak Hilbert's 16th Problem""; ""1. Hilbert�s 16th and Weak Hilbert's 16th Problems""; ""2. Estimating the number of zeroes of an Abelian integral""; ""References"" |
| Record Nr. | UNINA-9910480050703321 |
| Providence, Rhode Island : , : American Mathematical Society | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Differential algebra, complex analysis and orthogonal polynomials : Jairo Charris Seminar 2007-2008, Escuela de Matemáticas, Universidad Sergio Arboleda, Bogotá, Colombia / / Primitivo B. Acosta-Humánez, Francisco Marcellán, editors
| Differential algebra, complex analysis and orthogonal polynomials : Jairo Charris Seminar 2007-2008, Escuela de Matemáticas, Universidad Sergio Arboleda, Bogotá, Colombia / / Primitivo B. Acosta-Humánez, Francisco Marcellán, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society |
| Descrizione fisica | 1 online resource (241 p.) |
| Disciplina | 515/.39 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Differentiable dynamical systems
Orthogonal polynomials |
| ISBN |
0-8218-8188-4
0-8218-4886-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Contents -- Preface -- Differential Galois Theory of Algebraic Lie-Vessiot Systems -- 1. Introduction -- 2. Algebraic Groups and Homogeneous Spaces -- 3. Differential Algebraic Geometry -- 4. Galois theory of Algebraic Lie-Vessiot Systems -- 5. Algebraic Reduction and Integration -- 6. Integrability of Linear Equations -- Appendix A. Stalk formula for affine morphisms -- References -- Recent Trends on Two Variable Orthogonal Polynomials -- 1. Introduction -- 2. Algebraic properties of orthogonal polynomials in two variables -- 3. Orthogonal polynomials in two variables and eigenfunctions of second order partial differential equations -- 4. Extended definition of classical orthogonal polynomials in two variables -- 5. Semiclassical orthogonal polynomials in two variables -- 6. Sobolev orthogonal polynomials in several variables -- 7. Open problems -- 8. Acknowledgements -- References -- On the Integrability of the Riccati Equation -- 1. Introduction -- 2. Symmetries to the one-parameter family of Riccati equations (1.2) -- 3. Applications -- 4. conclusions -- References -- Two Discrete Systems of q-orthogonal Polynomials -- Like-hyperbolic Bloch-Bergman Classes -- 1. Introduction -- 2. Properties of Bα*A -- 3. Characterizations for α-Bloch-Bergman classes -- 4. Carleson and series characterization of Bα* A and Bα*A,0 -- 5. Properties of Bα*A -- References -- Some words about the application of Tchebycheff systems to Weak Hilbert's 16th Problem -- 1. Hilbert's 16th and Weak Hilbert's 16th Problems -- 2. Estimating the number of zeroes of an Abelian integral -- References. |
| Record Nr. | UNINA-9910788631503321 |
| Providence, Rhode Island : , : American Mathematical Society | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Differential algebra, complex analysis and orthogonal polynomials : Jairo Charris Seminar 2007-2008, Escuela de Matemáticas, Universidad Sergio Arboleda, Bogotá, Colombia / / Primitivo B. Acosta-Humánez, Francisco Marcellán, editors
| Differential algebra, complex analysis and orthogonal polynomials : Jairo Charris Seminar 2007-2008, Escuela de Matemáticas, Universidad Sergio Arboleda, Bogotá, Colombia / / Primitivo B. Acosta-Humánez, Francisco Marcellán, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society |
| Descrizione fisica | 1 online resource (241 p.) |
| Disciplina | 515/.39 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Differentiable dynamical systems
Orthogonal polynomials |
| ISBN |
0-8218-8188-4
0-8218-4886-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Contents -- Preface -- Differential Galois Theory of Algebraic Lie-Vessiot Systems -- 1. Introduction -- 2. Algebraic Groups and Homogeneous Spaces -- 3. Differential Algebraic Geometry -- 4. Galois theory of Algebraic Lie-Vessiot Systems -- 5. Algebraic Reduction and Integration -- 6. Integrability of Linear Equations -- Appendix A. Stalk formula for affine morphisms -- References -- Recent Trends on Two Variable Orthogonal Polynomials -- 1. Introduction -- 2. Algebraic properties of orthogonal polynomials in two variables -- 3. Orthogonal polynomials in two variables and eigenfunctions of second order partial differential equations -- 4. Extended definition of classical orthogonal polynomials in two variables -- 5. Semiclassical orthogonal polynomials in two variables -- 6. Sobolev orthogonal polynomials in several variables -- 7. Open problems -- 8. Acknowledgements -- References -- On the Integrability of the Riccati Equation -- 1. Introduction -- 2. Symmetries to the one-parameter family of Riccati equations (1.2) -- 3. Applications -- 4. conclusions -- References -- Two Discrete Systems of q-orthogonal Polynomials -- Like-hyperbolic Bloch-Bergman Classes -- 1. Introduction -- 2. Properties of Bα*A -- 3. Characterizations for α-Bloch-Bergman classes -- 4. Carleson and series characterization of Bα* A and Bα*A,0 -- 5. Properties of Bα*A -- References -- Some words about the application of Tchebycheff systems to Weak Hilbert's 16th Problem -- 1. Hilbert's 16th and Weak Hilbert's 16th Problems -- 2. Estimating the number of zeroes of an Abelian integral -- References. |
| Record Nr. | UNINA-9910809227103321 |
| Providence, Rhode Island : , : American Mathematical Society | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Symmetries and related topics in differential and difference equations : Jairo Charris Seminar 2009, Symmetries of Differential and Difference Equations, Escuela de Matemáticas, Universidad Sergio Arboleda, Bogotá, Colombia / / David Blázquez-Sanz, Juan J. Morales-Ruiz, Jesús Rodríguez Lombardero, editors
| Symmetries and related topics in differential and difference equations : Jairo Charris Seminar 2009, Symmetries of Differential and Difference Equations, Escuela de Matemáticas, Universidad Sergio Arboleda, Bogotá, Colombia / / David Blázquez-Sanz, Juan J. Morales-Ruiz, Jesús Rodríguez Lombardero, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society |
| Descrizione fisica | 1 online resource (178 p.) |
| Disciplina | 515/.35 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Symmetry (Mathematics)
Difference equations Differential-algebraic equations |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-8228-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Jairo Charris, The mathematician, The seminar""; ""Preface""; ""A reduction method for higher order variational equations of Hamiltonian systems""; ""A survey on integration of parabolic equations by reducing them to the heat equation""; ""1. Introduction""; ""2. Reduction by transformation (1.2)""; ""3. Applications of Theorem 2.1""; ""4. Reduction by general equivalence transformation""; ""References""; ""Weil jets, Lie correspondences and applications""; ""Introduction""; ""1. Jets of submanifolds""; ""2. Lie correspondences between jet spaces""
""3. Prolongations and correspondences.""""4. Characteristics, singular vector fields and correspondences""; ""5. Symmetries and Lie correspondences""; ""6. Projections, transversality and the process of reduction by symmetries""; ""Acknowledgments""; ""References""; ""Some applications of summability: An illustrated survey""; ""The structure of time and inertial forces in Lagrangian mechanics""; ""Introduction""; ""0. Notations and definitions""; ""1. Structure of a second order differential equation relative to a metric""; ""2. Newton-Lagrange mechanics of a free system"" ""3. Constrained systems""""4. The class of time and the calculus of variations""; ""5. Time constraints""; ""6. Modification caused by a time constraint in a free system""; ""7. Linear constraints depending on time""; ""8. Reference frames and inertial forces""; ""Acknowledgements.""; ""References""; ""Differential invariant algebras""; ""1. Introduction.""; ""2. Moving Frames and Differential Invariants.""; ""3. Equivariant Moving Frames.""; ""4. Recurrence.""; ""5. Generating Invariants.""; ""6. Differential Invariant Algebras of Pseudo�Groups.""; ""References"" ""The Stokes phenomenon for linear q-difference equations""""1. Introduction""; ""2. Some background""; ""3. Some examples around the q-Euler equation""; ""References""; ""Finite Hamiltonian systems on phase space"" |
| Record Nr. | UNINA-9910481003203321 |
| Providence, Rhode Island : , : American Mathematical Society | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Symmetries and related topics in differential and difference equations : Jairo Charris Seminar 2009, Symmetries of Differential and Difference Equations, Escuela de Matemáticas, Universidad Sergio Arboleda, Bogotá, Colombia / / David Blázquez-Sanz, Juan J. Morales-Ruiz, Jesús Rodríguez Lombardero, editors
| Symmetries and related topics in differential and difference equations : Jairo Charris Seminar 2009, Symmetries of Differential and Difference Equations, Escuela de Matemáticas, Universidad Sergio Arboleda, Bogotá, Colombia / / David Blázquez-Sanz, Juan J. Morales-Ruiz, Jesús Rodríguez Lombardero, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society |
| Descrizione fisica | 1 online resource (178 p.) |
| Disciplina | 515/.35 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Symmetry (Mathematics)
Difference equations Differential-algebraic equations |
| ISBN | 0-8218-8228-7 |
| Classificazione | 35A3034M1517B4535C0570A0537J0522F0535A3053A0439A13 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Contents -- Jairo Charris, The mathematician, The seminar -- Preface -- A reduction method for higher order variational equations of Hamiltonian systems -- A survey on integration of parabolic equations by reducing them to the heat equation -- 1. Introduction -- 2. Reduction by transformation (1.2) -- 3. Applications of Theorem 2.1 -- 4. Reduction by general equivalence transformation -- References -- Weil jets, Lie correspondences and applications -- Introduction -- 1. Jets of submanifolds -- 2. Lie correspondences between jet spaces -- 3. Prolongations and correspondences. -- 4. Characteristics, singular vector fields and correspondences -- 5. Symmetries and Lie correspondences -- 6. Projections, transversality and the process of reduction by symmetries -- Acknowledgments -- References -- Some applications of summability: An illustrated survey -- The structure of time and inertial forces in Lagrangian mechanics -- Introduction -- 0. Notations and definitions -- 1. Structure of a second order differential equation relative to a metric -- 2. Newton-Lagrange mechanics of a free system -- 3. Constrained systems -- 4. The class of time and the calculus of variations -- 5. Time constraints -- 6. Modification caused by a time constraint in a free system -- 7. Linear constraints depending on time -- 8. Reference frames and inertial forces -- Acknowledgements. -- References -- Differential invariant algebras -- 1. Introduction. -- 2. Moving Frames and Differential Invariants. -- 3. Equivariant Moving Frames. -- 4. Recurrence. -- 5. Generating Invariants. -- 6. Differential Invariant Algebras of Pseudo-Groups. -- References -- The Stokes phenomenon for linear q-difference equations -- 1. Introduction -- 2. Some background -- 3. Some examples around the q-Euler equation -- References -- Finite Hamiltonian systems on phase space. |
| Record Nr. | UNINA-9910788635603321 |
| Providence, Rhode Island : , : American Mathematical Society | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Symmetries and related topics in differential and difference equations : Jairo Charris Seminar 2009, Symmetries of Differential and Difference Equations, Escuela de Matemáticas, Universidad Sergio Arboleda, Bogotá, Colombia / / David Blázquez-Sanz, Juan J. Morales-Ruiz, Jesús Rodríguez Lombardero, editors
| Symmetries and related topics in differential and difference equations : Jairo Charris Seminar 2009, Symmetries of Differential and Difference Equations, Escuela de Matemáticas, Universidad Sergio Arboleda, Bogotá, Colombia / / David Blázquez-Sanz, Juan J. Morales-Ruiz, Jesús Rodríguez Lombardero, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society |
| Descrizione fisica | 1 online resource (178 p.) |
| Disciplina | 515/.35 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Symmetry (Mathematics)
Difference equations Differential-algebraic equations |
| ISBN | 0-8218-8228-7 |
| Classificazione | 35A3034M1517B4535C0570A0537J0522F0535A3053A0439A13 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Contents -- Jairo Charris, The mathematician, The seminar -- Preface -- A reduction method for higher order variational equations of Hamiltonian systems -- A survey on integration of parabolic equations by reducing them to the heat equation -- 1. Introduction -- 2. Reduction by transformation (1.2) -- 3. Applications of Theorem 2.1 -- 4. Reduction by general equivalence transformation -- References -- Weil jets, Lie correspondences and applications -- Introduction -- 1. Jets of submanifolds -- 2. Lie correspondences between jet spaces -- 3. Prolongations and correspondences. -- 4. Characteristics, singular vector fields and correspondences -- 5. Symmetries and Lie correspondences -- 6. Projections, transversality and the process of reduction by symmetries -- Acknowledgments -- References -- Some applications of summability: An illustrated survey -- The structure of time and inertial forces in Lagrangian mechanics -- Introduction -- 0. Notations and definitions -- 1. Structure of a second order differential equation relative to a metric -- 2. Newton-Lagrange mechanics of a free system -- 3. Constrained systems -- 4. The class of time and the calculus of variations -- 5. Time constraints -- 6. Modification caused by a time constraint in a free system -- 7. Linear constraints depending on time -- 8. Reference frames and inertial forces -- Acknowledgements. -- References -- Differential invariant algebras -- 1. Introduction. -- 2. Moving Frames and Differential Invariants. -- 3. Equivariant Moving Frames. -- 4. Recurrence. -- 5. Generating Invariants. -- 6. Differential Invariant Algebras of Pseudo-Groups. -- References -- The Stokes phenomenon for linear q-difference equations -- 1. Introduction -- 2. Some background -- 3. Some examples around the q-Euler equation -- References -- Finite Hamiltonian systems on phase space. |
| Record Nr. | UNINA-9910822706203321 |
| Providence, Rhode Island : , : American Mathematical Society | ||
| Lo trovi qui: Univ. Federico II | ||
| ||