Abstract
This paper is dedicated to the study of a modification of the Teodorescu transform which is related as right inverse operator to the generalized Dirac operator. Its kernal function will be described by the MacDonald function. Operators of such type are useful to the study of Helmholtz equations and Maxwell systems and belong to a corresponding Clifford operator calculas. As example a constructive method for the solution of a non-linear boundary value problem of Landesman-Lazar type is outlined
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