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200 10$aGeometry of moment spaces /$fS. Karlin, L.S. Shapely
210  1$aProvidence :$cAmerican Mathematical Society,$d1953.
210  4$aŠ1953
215   $a1 online resource  (93 pages) $cillustrations
225 1 $aMemoirs of the American Mathematical Society ;$vnumber 12
300   $aDescription based upon print version of record.
311 0 $a0-8218-1212-2 
320   $aReferences: pages 92-93.
327   $a""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)]""
327   $a""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 I??[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 I??[sub(m)](t) and I??[sub(m)(t)""; ""20. Construction of distribution functions""
327   $a""21. Characterization of the set of distribution functions with given moments""""22. Intertwining property of functions in D|x""; ""CHAPTER VI: APPLICATION TO ORTHOGONAL POLYNOMIALS""; ""23. Orthogonality of the I??-polynomials""; ""24. Separation of roots. Christoffel numbers""; ""25. Geometry of the Tchebycheff polynomials""; ""CHAPTER VII: SYMMETRIES OF THE MOMENT SPACES""; ""26. Reversal of the unit interval""; ""27. Moment space of symmetric distributions""; ""28. Other symmetries""; ""REFERENCES""
410  0$aMemoirs of the American Mathematical Society ;$v12.
606   $aMoment spaces
615  0$aMoment spaces.
700   $aKarlin$b Samuel$f1923-2007,$03477
702   $aShapely$b Lloyd S.$f1923-
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910828792803321
996   $aGeometry of moment spaces$94098653
997   $aUNINA