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Geometry of moment spaces / / by S. Karlin and L.S. Shapely
| Geometry of moment spaces / / by S. Karlin and L.S. Shapely |
| Autore | Karlin Samuel <1923-2007, > |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 1953 |
| Descrizione fisica | 1 online resource (101 p.) |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico | Moment spaces |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-9917-1 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""CONTENTS""; ""CHAPTER I: CONVEX SETS""; ""1. Elementary definitions""; ""2. Boundary indices""; ""3. Convex representation""; ""4. Convex cones. Duality""; ""5. Conjugate points""; ""CHAPTER II: THE MOMENT SPACE D[sup(n)] AND ITS DUAL P[sup(n)]""; ""6. Distribution functions on [0, 1]""; ""7. The moment space D[sup(n)]""; ""8. The polynomial space P[sup(n)]""; ""9. The boundary of P[sup(n)]""; ""10. A property of the extreme points of P[sup(n)]""; ""11. The boundary of D[sup(n)]""; ""CHAPTER III: THE SIMPLEXES S[sup(n)] AND B[sup(n)]""; ""12. The simplex S[sup(n)]""
""13. The dual simplex B[sup(n)]""""14. Fit of S[sup(n)] and B[sup(n)] to D[sup(n)] and P[sup(n)]""; ""15. Comparison of volumes""; ""CHAPTER IV: ALGEBRAIC DESCRIPTION OF THE MOMENT SPACES""; ""16. Moment sequences and quadratic forms""; ""17. The determinants Î?[sub(m)] and their relation to the faces of D[sup(n)]""; ""18. The lower and upper boundaries of D[sup(n)]""; ""CHAPTER V: DISTRIBUTIONS HAVING GIVEN MOMENTS""; ""19. The polynomials Î?[sub(m)](t) and Î?[sub(m)(t)""; ""20. Construction of distribution functions"" ""21. Characterization of the set of distribution functions with given moments""""22. Intertwining property of functions in D|x""; ""CHAPTER VI: APPLICATION TO ORTHOGONAL POLYNOMIALS""; ""23. Orthogonality of the Î?-polynomials""; ""24. Separation of roots. Christoffel numbers""; ""25. Geometry of the Tchebycheff polynomials""; ""CHAPTER VII: SYMMETRIES OF THE MOMENT SPACES""; ""26. Reversal of the unit interval""; ""27. Moment space of symmetric distributions""; ""28. Other symmetries""; ""REFERENCES"" |
| Record Nr. | UNINA-9910479929203321 |
Karlin Samuel <1923-2007, >
|
||
| Providence : , : American Mathematical Society, , 1953 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Geometry of moment spaces / / S. Karlin, L.S. Shapely
| Geometry of moment spaces / / S. Karlin, L.S. Shapely |
| Autore | Karlin Samuel <1923-2007, > |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 1953 |
| Descrizione fisica | 1 online resource (93 pages) : illustrations |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico | Moment spaces |
| ISBN | 0-8218-9917-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""CONTENTS""; ""CHAPTER I: CONVEX SETS""; ""1. Elementary definitions""; ""2. Boundary indices""; ""3. Convex representation""; ""4. Convex cones. Duality""; ""5. Conjugate points""; ""CHAPTER II: THE MOMENT SPACE D[sup(n)] AND ITS DUAL P[sup(n)]""; ""6. Distribution functions on [0, 1]""; ""7. The moment space D[sup(n)]""; ""8. The polynomial space P[sup(n)]""; ""9. The boundary of P[sup(n)]""; ""10. A property of the extreme points of P[sup(n)]""; ""11. The boundary of D[sup(n)]""; ""CHAPTER III: THE SIMPLEXES S[sup(n)] AND B[sup(n)]""; ""12. The simplex S[sup(n)]""
""13. The dual simplex B[sup(n)]""""14. Fit of S[sup(n)] and B[sup(n)] to D[sup(n)] and P[sup(n)]""; ""15. Comparison of volumes""; ""CHAPTER IV: ALGEBRAIC DESCRIPTION OF THE MOMENT SPACES""; ""16. Moment sequences and quadratic forms""; ""17. The determinants Î?[sub(m)] and their relation to the faces of D[sup(n)]""; ""18. The lower and upper boundaries of D[sup(n)]""; ""CHAPTER V: DISTRIBUTIONS HAVING GIVEN MOMENTS""; ""19. The polynomials Î?[sub(m)](t) and Î?[sub(m)(t)""; ""20. Construction of distribution functions"" ""21. Characterization of the set of distribution functions with given moments""""22. Intertwining property of functions in D|x""; ""CHAPTER VI: APPLICATION TO ORTHOGONAL POLYNOMIALS""; ""23. Orthogonality of the Î?-polynomials""; ""24. Separation of roots. Christoffel numbers""; ""25. Geometry of the Tchebycheff polynomials""; ""CHAPTER VII: SYMMETRIES OF THE MOMENT SPACES""; ""26. Reversal of the unit interval""; ""27. Moment space of symmetric distributions""; ""28. Other symmetries""; ""REFERENCES"" |
| Record Nr. | UNINA-9910788767003321 |
|
Karlin Samuel <1923-2007, >
|
||
| Providence : , : American Mathematical Society, , 1953 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Geometry of moment spaces / / S. Karlin, L.S. Shapely
| Geometry of moment spaces / / S. Karlin, L.S. Shapely |
| Autore | Karlin Samuel <1923-2007, > |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 1953 |
| Descrizione fisica | 1 online resource (93 pages) : illustrations |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico | Moment spaces |
| ISBN | 0-8218-9917-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""CONTENTS""; ""CHAPTER I: CONVEX SETS""; ""1. Elementary definitions""; ""2. Boundary indices""; ""3. Convex representation""; ""4. Convex cones. Duality""; ""5. Conjugate points""; ""CHAPTER II: THE MOMENT SPACE D[sup(n)] AND ITS DUAL P[sup(n)]""; ""6. Distribution functions on [0, 1]""; ""7. The moment space D[sup(n)]""; ""8. The polynomial space P[sup(n)]""; ""9. The boundary of P[sup(n)]""; ""10. A property of the extreme points of P[sup(n)]""; ""11. The boundary of D[sup(n)]""; ""CHAPTER III: THE SIMPLEXES S[sup(n)] AND B[sup(n)]""; ""12. The simplex S[sup(n)]""
""13. The dual simplex B[sup(n)]""""14. Fit of S[sup(n)] and B[sup(n)] to D[sup(n)] and P[sup(n)]""; ""15. Comparison of volumes""; ""CHAPTER IV: ALGEBRAIC DESCRIPTION OF THE MOMENT SPACES""; ""16. Moment sequences and quadratic forms""; ""17. The determinants Î?[sub(m)] and their relation to the faces of D[sup(n)]""; ""18. The lower and upper boundaries of D[sup(n)]""; ""CHAPTER V: DISTRIBUTIONS HAVING GIVEN MOMENTS""; ""19. The polynomials Î?[sub(m)](t) and Î?[sub(m)(t)""; ""20. Construction of distribution functions"" ""21. Characterization of the set of distribution functions with given moments""""22. Intertwining property of functions in D|x""; ""CHAPTER VI: APPLICATION TO ORTHOGONAL POLYNOMIALS""; ""23. Orthogonality of the Î?-polynomials""; ""24. Separation of roots. Christoffel numbers""; ""25. Geometry of the Tchebycheff polynomials""; ""CHAPTER VII: SYMMETRIES OF THE MOMENT SPACES""; ""26. Reversal of the unit interval""; ""27. Moment space of symmetric distributions""; ""28. Other symmetries""; ""REFERENCES"" |
| Record Nr. | UNINA-9910828792803321 |
|
Karlin Samuel <1923-2007, >
|
||
| Providence : , : American Mathematical Society, , 1953 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||