Opuscula Mathematica

Opuscula Math.
 27
, no. 1
 (), 113-130
Opuscula Mathematica

The study of Delsarte-Lions type binary transformations, their differential-geometric and operator structure with applications. Part 2



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.
Mathematics Subject Classification: 34A30, 34B05, 34B15.
Cite this article as:
Yarema A. Prykarpatsky, Anatoliy M. Samoilenko, The study of Delsarte-Lions type binary transformations, their differential-geometric and operator structure with applications. Part 2, Opuscula Math. 27, no. 1 (2007), 113-130
 
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ISSN 1232−9274, e-ISSN 2300−6919, DOI http://dx.doi.org/10.7494/OpMath
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