两端奇异的自伴微分算子的解析描述

Analytic Description of Self-adjoint Differential Operators with both Strange Ends

给出了所有可能情况下自伴域的完全描述。关于对称微分算子在最大算子域内界定自伴域的边界条件问题,去掉了两端亏指数相等的限制条件,给出线性流形为自伴扩张域的充分必要条件,从而使两端奇异的自伴微分算子的解析描述得到完满解决。

In this paper, several lemmas complete description of all the possibility defect index at the both ends in text [ 4 ] operators at the both strange ends solved in [ 3 ] are improved, the method used in [ 2 ] and [ 3 ] is generalized, the of self - adjoint area is given, and the limitation on the equal condition of is reduced, thus making the analytic description of selfadjoint differential completely.