Showing papers in "Duke Mathematical Journal in 1974"

Zeros of functions in the Bergman spaces

Abstract: A function/(z) analytic in the unit disk is said to belong to the Bergman space A (0ffî\\f(re)\\rdr d6

Shellings of Spheres and Polytopes.

Abstract: : Bruggesser and Mani proved the boundary complex B(P) of a polytope P always admits a shelling. By constructing appropriate linear functionals on certain polytopes dual to P, shellings are here produced that satisfy strong conditions on the order of appearance of P's facets. Also included are some results on shellings of more general complexes. The results on shellings contained here play a role in a current attack on the d-step conjecture of linear programming. (Author)