摘要
研究了J-对称微分算式τ(y)在两端奇异且亏指数不相等时J-自伴扩张的边条件问题.利用J-对称微分算式生成的最大算子域的构造定理,得到了在(-∞,∞)上J-对称微分算子的J-自伴域边条件的解析描述,并给出了几种特殊亏指数的J-自伴域的完全描述,进一步完善了J-自伴域的边条件理论.
The boundary condition of the J-selfadjoint extensions domain of J-symmetric differential expression is investigated when the two ends are singular and the deficiency indices are not equal.Using the construction theorem on the domain of maximal operator generated by J-symmetric differential expression,the analytic expression of the boundary condition of J-selfadjoint extensions of J-symmetric differential operators in(-∞,∞)is obtained,and the complete characterization of J-selfadjoint extensions domain of several special deficiency indices is given,the boundary condition theory of J-selfadjoint extensions domain is further improved.
引文
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