Differential-geometric and topological structure of multidimensional Delsarte transmutation operators

Abstract

A differential geometrical and topological structure of Delsarte transmutation operators in multidimension is studied, the relationships with De Rham-Hodge-Skrypnik theory of generalized differential complexes is stated.

15 pages

References in corpus (1)

• On the quantum inverse scattering problem

Cited by in corpus (3)

• The De Rham-Hodge-Skrypnik theory of Delsarte transmutation operators in multidimension and its applications. Part 1
• A survey of the spectral and differential geometric aspects of the De Rham-Hodge-Skrypnik theory related with Delsarte transmutation operators in multidimension and its applications to spectral and soliton problems. Part 2
• De Rham-Hodge-Skrypnik theory. A survey of the spectral and differential geometric aspects of the De Rham-Hodge-Skrypnik theory related with Delsarte transmutation operators in multidimension and its applications to spectral and soliton problems. Part 1