@Article{Prykarpatsky2007,
author = "Prykarpatsky, Yarema A. and Samoilenko, Anatoliy M.",
title = "The study of Delsarte-Lions type binary transformations, their differential-geometric and operator structure with applications. Part 2",
journal = "Opuscula Math.",
year = "2007",
volume = "27",
number = "1",
pages = "113--130",
doi = "http://dx.doi.org/10.7494/OpMath.2007.27.1.113",
url = "http://dx.doi.org/10.7494/OpMath.2007.27.1.113",
abstract = "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.",
keywords = "Delsarte transmutation operators, generalized de Rham-Hodge differential complex, Delsarte-Lions type transformations, Gelfand-Levitan-Marchenko type integral equations, multidimensional differential operator pencils",
issn = "1232-9274"
}