Geometry of moment spaces / / S. Karlin, L.S. Shapely
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| Autore: |
Karlin Samuel <1923-2007, >
|
| Titolo: |
Geometry of moment spaces / / S. Karlin, L.S. Shapely
|
| Pubblicazione: | Providence : , : American Mathematical Society, , 1953 |
| ©1953 | |
| Descrizione fisica: | 1 online resource (93 pages) : illustrations |
| Soggetto topico: | Moment spaces |
| Persona (resp. second.): | ShapelyLloyd S. <1923-> |
| Note generali: | Description based upon print version of record. |
| Nota di bibliografia: | References: pages 92-93. |
| 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"" | |
| Titolo autorizzato: | Geometry of moment spaces |
| ISBN: | 0-8218-9917-1 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910828792803321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; 12.