Differential-geometric and Topological Structure of Multidimensional Delsarte Transmutation Operators
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چکیده
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.
منابع مشابه
ar X iv : m at h - ph / 0 40 30 55 v 1 2 9 M ar 2 00 4 THE DELSARTE - DARBOUX TYPE BINARY TRANSFORMATIONS AND THEIR DIFFERENTIAL - GEOMETRIC AND OPERATOR STRUCTURE
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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.
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A review on spectral and differential-geometric properties of Delsarte transmutation operators in multidimension is given. Their differential geometrical and topological structure in multidimension is analyzed, the relationships with De Rham-Hodge-Skrypnik theory of generalized differential complexes are stated. Some applications to integrable dynamical systems theory in multidimension are pres...
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تاریخ انتشار 2004