Accession Number : AD0263352

Title :   APPLICATION OF INTEGRAL OPERATORS TO THE THEORY OF EQUATIONS OF MIXED TYPE

Corporate Author : STANFORD UNIV CALIF APPLIED MATHEMATICS AND STATISTICS LABS

Personal Author(s) : BERGMAN,STEFAN ; BOJANIC,RANKO

Report Date : 28 AUG 1961

Pagination or Media Count : 1

Abstract : 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 Bergman's investigations of this type and at the same time simplifies his method.

Descriptors :   *EQUATIONS, *FUNCTIONS(MATHEMATICS), *OPERATORS (MATHEMATICS), *THEORY, COMPLEX VARIABLES, INTEGRALS, PARTIAL DIFFERENTIAL EQUATIONS

Distribution Statement : APPROVED FOR PUBLIC RELEASE