Toeplitz Operators and the Theory of Homogenization for Partial Differential Equations
Ciprian Foiaş · Operator theory · 1982
Weak limits of solutions of boundary value problems for elliptic operators with rapidly oscillating coefficients are, in many important cases, solutions of (sometimes identical) boundary value problems for operators with constant coefficients, phenomenon which is suggestively called “the homogenization” of the partial differential operators involved [1]. Some of the homogenization techniques [5] lead to a natural generalization of Toeplitz operators and to new results concerning the weak limits of inverses of such operators [3].