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The Symmetry of Singular Hamiltonian Differential Operators and Properties of Deficiency Indices
Authors:Jian Gang Qi
Institution:(1) Department of Mathematics, Ningbo University, Ningbo 315211, P. R. China
Abstract: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. This work is supported by Ningbo Doctoral Science Foundation (No. 2004A620018)
Keywords:Singular Hamiltonian Systems  Symmetric operator  Deficiency indices
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