The purpose of this paper is to present a natural geometrical approach to the theory of reduced moment spaces and its application to orthogonal polynomials. Many classical results can be interpreted in this geometrical setting, and many new results obtained as well. The method provides an interesting contrast to the more usual techniques involving continued fractions and complex variables.
Karlin, Samuel and Lloyd S. Shapley, Geometry and Moment Spaces. Santa Monica, CA: RAND Corporation, 1951. https://www.rand.org/pubs/papers/P227.html. Also available in print form.
Karlin, Samuel and Lloyd S. Shapley, Geometry and Moment Spaces, Santa Monica, Calif.: RAND Corporation, P-227, 1951. As of September 08, 2021: https://www.rand.org/pubs/papers/P227.html