A new approach to inverse spectral theory, I. Fundamental formalism

We present a new approach (distinct from Gelfand-Levitan) to the the- orem of Borg-Marchenko that the m-function (equivalently, spectral measure) for a finite interval or half-line Schrodinger operator determines the poten- tial. Our approach is an analog of the continued fraction approach for the moment problem. We prove there is a representation for the m-function m(−κ 2 ) = −κ − R b

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