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板几何中一类具连续能量的迁移算子的谱分析
引用本文:吴红星. 板几何中一类具连续能量的迁移算子的谱分析[J]. 上饶师范学院学报, 2008, 28(3): 12-15
作者姓名:吴红星
作者单位:上饶师范学院,江西,上饶,334001
摘    要:本文研究了板几何中一类具各向异性、连续能量、均匀介质的迁移算子的谱,得出了该算子A在带域Pas(A)中无复本征值和由有限个具有限代数重数的实离散本征值组成等结果。

关 键 词:迁移算子  正定算子  紧算子  复本征值  实离散本征值

The Spectral Analysis of Transport Operator with Continuous Energy in Slab Geometry
WU Hong-xing. The Spectral Analysis of Transport Operator with Continuous Energy in Slab Geometry[J]. Journal of Shangrao Normal College, 2008, 28(3): 12-15
Authors:WU Hong-xing
Affiliation:WU Hong-xing (Shangrao Normal College, Shangrao Jiangxi 334001, China)
Abstract:The objective of tiffs paper is to research the spectrum of transport operator with anisotropic, continuous energy and homogeneous in slab geometry. It obtains that the transport operator A has no complex eigenvalues, and the spectrum of the transport operator A consists of finite real isolated eigenvalues which have a finite algebraic multiphcity in trip Pas ( A).
Keywords:Transport operator  positive definite operator  compact operator  complex eigenvalue  real discrete eigelwalue
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