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具有物理应用的超分布的“层”——线性叠加和赝线性叠加(英文)
Layers of Ultradistributions with Physical Applications——Linear superposition and Pseudo-linear superposition
【摘要】 通过分析超分布代数的一系列子空间和子代数,我们引入了超分布的“层”的概念。任意一个处于一定“层”的超分布不仅可用该“层”的一组基作通常意义的线性展开,而且还可通过低层的一组非完全基作(?)线性展开。我们还对线性展开和(?)线性展开的物理应用进行了研究。
【Abstract】 By analysis for a series of subspaces and subalgebra in the ultradistribution algebra,a concept of the layer of an ultradistribution is introduced.Any ultradistribution on a certain layer can be expanded not only as a linear superposition in the ordinary sense by the basis elements on this layer,but also a pseudo-linear superposition by the non-total basis elements on the lower layers.A study is made on the physical applicationsfor the two kinds of expansion of ultradistribution.
- 【文献出处】 长沙铁道学院学报 , 编辑部邮箱 ,1986年04期