Before revision: This paper considers a  linear Fisher market with n buyers and a continuum of items.
After revision: Linear Fisher markets are a fundamental economic model with applications in fair division as well as large-scale Internet markets. In the finite-dimensional case of n buyers and m items, a market equilibrium can be computed using the Eisenberg-Gale convex program. Motivated by large-scale Internet advertising and fair division applications, this paper considers a linear Fisher market with n buyers and a continuum of items.