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Geometry of moment spaces

About this Title

S. Karlin and L. S. Shapley

Publication: Memoirs of the American Mathematical Society
Publication Year: 1953; Number 12
ISBNs: 978-0-8218-1212-9 (print); 978-0-8218-9917-5 (online)
DOI: https://doi.org/10.1090/memo/0012
MathSciNet review: 0059329
MSC: Primary 27.0X

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Table of Contents

Chapters

  • Introduction
  • I. Convex sets
  • II. The moment space $D^n$ and its dual $P^n$
  • III. The simplexes $S^n$ and $B^n$
  • IV. Algebraic description of the moment spaces
  • V. Distributions having given moments
  • VI. Application to orthogonal polynomials
  • VII. Symmetries of the moment spaces