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Đề tài " Inverse spectral problems and closed exponential systems "

Chia sẻ: Nguyen Nhi | Ngày: | Loại File: PDF | Số trang:35

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Consider the inverse eigenvalue problem of the Schr¨dinger operator deo fined on a finite interval. We give optimal and almost optimal conditions for a set of eigenvalues to determine the Schr¨dinger operator. These conditions are o simple closedness properties of the exponential system corresponding to the known eigenvalues. The statements contain nearly all former results of this topic. We give also conditions for recovering the Weyl-Titchmarsh m-function from its values m(λn ).

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Nội dung Text: Đề tài " Inverse spectral problems and closed exponential systems "

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