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Titchmarsh-Weyl Theory For Canonical Systems, Keshav R. Acharya
Titchmarsh-Weyl Theory For Canonical Systems, Keshav R. Acharya
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The main purpose of this paper is to develop Titchmarsh- Weyl theory of canonical systems. To this end, we first observe the fact that Schrodinger and Jacobi equations can be written into canonical systems. We then discuss the theory of Weyl m-function for canonical systems and establish the relation between the Weyl m-functions of Schrodinger equations and that of canonical systems which involve Schrodinger equations.