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[null,"1.","Record Nr.",null,"UNINA9910788767003321"]
[null,null,"Autore",null,"Karlin Samuel <1923-2007, >"]
[null,null,"Titolo",null,"Geometry of moment spaces / / S. Karlin, L.S. Shapely"]
[null,null,"Pubbl/distr/stampa",null,"Providence : , : American Mathematical Society, , 1953"]
[{"$nulls":4},"©1953"]
[null,null,"ISBN",null,"0-8218-9917-1"]
[null,null,"Descrizione fisica",null,"1 online resource  (93 pages) : illustrations"]
[null,null,"Collana",null,"Memoirs of the American Mathematical Society ; ; number 12"]
[null,null,"Soggetti",null,"Moment spaces"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Description based upon print version of record."]
[null,null,null,"Nota di bibliografia","References: pages 92-93."]
[null,null,"Nota di contenuto",null,"\"\"CONTENTS\"\"; \"\"CHAPTER I: CONVEX SETS\"\"; \"\"1. Elementary definitions\"\"; \"\"2. Boundary indices\"\"; \"\"3. Convex representation\"\"; \"\"4. Convex cones. Duality\"\"; \"\"5. Conjugate points\"\"; \"\"CHAPTER II: THE MOMENT SPACE D[sup(n)] AND ITS DUAL P[sup(n)]\"\"; \"\"6. Distribution functions on [0, 1]\"\"; \"\"7. The moment space D[sup(n)]\"\"; \"\"8. The polynomial space P[sup(n)]\"\"; \"\"9. The boundary of P[sup(n)]\"\"; \"\"10. A property of the extreme points of P[sup(n)]\"\"; \"\"11. The boundary of D[sup(n)]\"\"; \"\"CHAPTER III: THE SIMPLEXES S[sup(n)] AND B[sup(n)]\"\"; \"\"12. The simplex S[sup(n)]\"\""]
[{"$nulls":4},"\"\"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\"\""]
[{"$nulls":4},"\"\"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\"\""]