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2n阶微分算子乘积自伴的充分必要条件 被引量:1

A Necessary and Sufficient Condition for Self-adjointness of Products of 2nth-Order Differential Operators
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摘要 给定Hilbert空间L2[a,∞)上两个由2n阶对称微分算式生成的微分算子Li(i=1,2),该文给出了乘积算子L2L1是自伴算子的一个充分必要条件. In this paper, the authors present a necessary and suffcient condition for self-adjointness of the product L2L1 of two differential operators Li (i = 1, 2) associated with the symmetric differential expression l(y) of order 2n in the Hilbert space L2[α, ∞).
出处 《数学物理学报(A辑)》 CSCD 北大核心 2006年第6期953-962,共10页 Acta Mathematica Scientia
关键词 乘积微分算子 自伴算子 边界条件 Products of differential operators Self-adjoint operator Boundary conditions.
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