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Differential-geometric and topological structure of multidimensional Delsarte transmutation operators

机译：多维的微分几何和拓扑结构 Delsarte嬗变运算符

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

机译：研究了Delsarte mut变算子在多维上的微分几何和拓扑结构，提出了与广义微分复合体的DeRham-Hodge-Skrypnik理论的关系。

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Prykarpatsky, Yarema; Samoilenko, Anatoliy; Prykarpatsky, Anatoliy K.;
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年度 2004
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正文语种 {"code":"en","name":"English","id":9}
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1. Theory of Multidimensional Delsarte-Lions Transmutation Operators. I [J] . Samoilenko A. M., Prykarpatsky Ya. A., Blackmore D., Ukrainian mathematical journal . 2019,第12期

机译：多维德尔萨德 - 狮子嬗变运营商理论。一世
2. THEORY OF MULTIDIMENSIONAL DELSARTE-LIONS TRANSMUTATION OPERATORS. II [J] . Ukrainian mathematical journal . 2019,第6期

机译：多维德尔萨德 - 狮子嬗变运营商理论。二
3. Generalized de Rham-Hodge theory of multidimensional Delsarte transmutations of differential operators and its applications for nonlinear dynamic systems [J] . Bogolyubov NN, Prykarpatsky YA, Samoilenko AM, Physics of particles and nuclei . 2005,第Suppla1期

机译：差分运算符多维Delsarte传输的广义de rham-hodge理论及其对非线性动力系统的应用
4. TOPOLOGICAL STRUCTURES OF THE SPACES OF COMPOSITION OPERATORS ON SPACES OF ANALYTIC FUNCTIONS [C] . J. S. Manhas Conference on Function Spaces . 2007

机译：构图运营商空间的拓扑结构在分析功能空间上
5. The spatio -temporal topological operator dimension, a hyperstructure for multidimensional spatio-temporal exploration and analysis [D] . Marchand, Pierre 2004

机译：时空拓扑算子维，用于多维时空探索和分析的超结构
6. An Undesirable Behaviour of a Recent Extension of OWA Operators to the Setting of Multidimensional Data [O] . Raúl Pérez-Fernández -1

机译：OWA运算符最近扩展到多维数据设置的不良行为
7. The general differential-geometric structure of multidimensional Delsarte transmutation operators in parametric functional spaces and their applications in soliton theory. Part 2 [O] . Golenia, J., Prykarpatsky, Y. A., Samoilenko, A. M., 2004

机译：多维的一般微分 - 几何结构参数化功能空间中的Delsarte嬗变算子及其性质孤子理论中的应用。第2部分
8. Integrable 2+1 Dimensional Equations, Their Recursion Operators and Bi-Hamiltonian Structures as Reduction of Multidimensional Systems [R] . Santini, P. M. 1987

机译：可积2 + 1维方程，它们的递归算子和双哈密顿结构作为多维系统的约简

Differential-geometric and topological structure of multidimensional Delsarte transmutation operators

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