The Symmetry of Singular Hamiltonian Differential Operators and Properties of Deficiency Indices

The Symmetry of Singular Hamiltonian Differential Operators and Properties of Deficiency Indices

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摘要 The symmetry of singular Hamiltonian differential operators is proved under the standard ＂definiteness condition＂, which is strictly weaker than the densely definite condition used by A. M. Krall. Meanwhile, some properties of deficiency indices are given. The symmetry of singular Hamiltonian differential operators is proved under the standard ＂definiteness condition＂, which is strictly weaker than the densely definite condition used by A. M. Krall. Meanwhile, some properties of deficiency indices are given.

作者 Jian Gang QI

机构地区 Department of Mathematics

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 2006年第1期41-50,共10页 数学学报（英文版）

基金 This work is supported by Ningbo Doctoral Science Foundation （No. 2004A620018）

关键词 Singular Hamiltonian Systems Symmetric operator Deficiency indices Singular Hamiltonian Systems, Symmetric operator, Deficiency indices

分类号 O151.21 [理学—数学]

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Acta Mathematica Sinica,English Series

2006年第1期

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The Symmetry of Singular Hamiltonian Differential Operators and Properties of Deficiency Indices

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