APPLICATION OF INTEGRAL OPERATORS TO THE THEORY OF EQUATIONS OF MIXED TYPE
STANFORD UNIV CALIF APPLIED MATHEMATICS AND STATISTICS LABS
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Integral operators are applied to the theory of equations of mixed type which transform analytic functions into solutions of linear partial differential equations with analytic coefficients. The importance of integral operators is based on the fact that they not merely generate solutions of a particular linear partial differential equation but frequently they preserve various properties of the associates, i.e. analytic functions to which the operator is applied. This analysis generalizes Bergmans investigations of this type and at the same time simplifies his method.