Growth transformations for functions on manifolds

Leonard E. Baum and George Roger Sell

Vol. 27 (1968), No. 2, 211–227

DOI: 10.2140/pjm.1968.27.211

Abstract

In this paper we look at the problem of maximizing a function P defined on a manifold M. Although we shall be primarily concerned with the case where M is a certain polyhedron in a Euclidean space Rⁿ and P is a polynomial with nonnegative coefficients defined on Rⁿ, some of our results are valid in greater generality.

Mathematical Subject Classification

Primary: 57.50

Milestones

Received: 18 May 1967

Published: 1 November 1968