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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 |
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