TY  - JOUR
ID  - Prykarpatsky2007
LB  - Prykarpatsky2007
AU  - Prykarpatsky, Yarema A.
AU  - Samoilenko, Anatoliy M.
TI  - The study of Delsarte-Lions type binary transformations, their differential-geometric and operator structure with applications. Part 2
ST  - The study of Delsarte-Lions type binary transformations, their differential-geometric and operator structure with applications. Part 2
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2007
VL  - 27
IS  - 1
SP  - 113
EP  - 130
DO  - http://dx.doi.org/10.7494/OpMath.2007.27.1.113
UR  - http://dx.doi.org/10.7494/OpMath.2007.27.1.113
AB  - The Gelfand-Levitan integral equations for Delsarte-Lions type transformations in multidimension are studied. The corresponding spectral and analytical properties of Delsarte-Lions transformed operators are analyzed by means of the differential-geometric and topological tools. An approach for constructing Delsarte-Lions type transmutation operators for multidimensional differential expressions is devised.
KW  - Delsarte transmutation operators
KW  - generalized de Rham-Hodge differential complex
KW  - Delsarte-Lions type transformations
KW  - Gelfand-Levitan-Marchenko type integral equations
KW  - multidimensional differential operator pencils
SN  - 1232-9274
ER  -