| 非均匀球对称介质的迁移算子广义本征函数系统的完整性 |
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| 引用本文： | 王胜华,许跟起. 非均匀球对称介质的迁移算子广义本征函数系统的完整性[J]. 上饶师范学院学报, 1996, 0(3) |
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| 作者姓名： | 王胜华 许跟起 |
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| 作者单位： | 上饶师专数学系，山西大学数学系 |
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| 摘 要： | 本文讨论了一类具各向同性、单能、非均匀球对称介质的迁移算子的广义本征函数系统的完整性，证明了：当迁移半群退化时，迁移算子广义本征函数系统不完整；当迁移半群非退化和满足相对收敛条件时，迁移算子广义本征函数系统完整。
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| 关 键 词： | 迁移算子；广义本征函数；完整性 |
THE COMPLETENESS OF THE SYSTEM OF GENERALISED EIGENFUNCTION OF A TRANSPORT OPERATOR WITH INHOMOGENEOUS MEDIA IN SPHERE |
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| Wang Shenghua. THE COMPLETENESS OF THE SYSTEM OF GENERALISED EIGENFUNCTION OF A TRANSPORT OPERATOR WITH INHOMOGENEOUS MEDIA IN SPHERE[J]. Journal of Shangrao Normal College, 1996, 0(3) |
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| Authors: | Wang Shenghua |
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| Affiliation: | Wang Shenghua(Department of Mathematics; Shangrao Teacher's College;Shangrao;334001)Xu Genqi(Depetment of Mathematics;Shanxi University; Tai Yuan; 030006) |
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| Abstract: | In this paper, We study the completenas of the system of generaliedeigenfunctions of the transport operator with isotropic one-energy inhomogeneous insphere,We proved that the system of generalized eigenfunctions of the transport operator isnot completeness when transport semigroup is degenrate, and it is completeness whentransport semigroup is nondegenerate and to satisfy relatived convergence condition. |
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| Keywords: | Transport opetator Generalized eigenfunctions Chmpleteness. |
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