Anatoliy Prykarpatsky

Delstarte transform operators: the topological structure and applications

The structure of Delsarte transform operators, generalizing Faddeev-Nizhnik integral representation of Volterra type for multi- dimensional differential operators is studied by means of differential-geometric and topological methods. An extension of the method for the case of affine pencils of differential operators is suggested. Application to spectral theory are discussed.