The De Rham-Hodge-Skrypnik theory of Delsarte transmutation operators in multidimension and its applications. Part 1
arXiv:math-ph/0404026 · doi:10.1016/S0034-4877(05)80051-5
Abstract
Spectral properties od Delsarte transmutation operators are studied, their differential geometrical and topological structure in multidimension is analyzed, the relationships with De Rham-Hodge-Skrypnik theory of generalized differential complexes is stated.
References in corpus (6)
- On the quantum inverse scattering problem
- Darboux Transformation for Dirac Equations with (1+1) potentials
- The general differential-geometric structure of multidimensional Delsarte transmutation operators in parametric functional spaces and their applications in soliton theory. Part 2
- Discrete symmetry's chains and links between integrable equations
- 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
- Differential-geometric and topological structure of multidimensional Delsarte transmutation operators