Let H be a symmetric operator in a separable Hilbert space H. Suppose that H has some gap J. We shall investigate the question about what spectral properties the self-adjoint extensions of H can have inside the gap J and provide methods on how to construct self-adjoint extensions of H with prescribe
✦ LIBER ✦
Semiclassical Inverse Spectral Theory for Singularities of Focus–Focus Type
✍ Scribed by Pelayo, Álvaro; Ngọc, San Vũ
- Book ID
- 125342234
- Publisher
- Springer
- Year
- 2014
- Tongue
- English
- Weight
- 292 KB
- Volume
- 329
- Category
- Article
- ISSN
- 0010-3616
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An inverse spectral theory is presented for certain linear ordinary differential operators of arbitrary even order n which generalizes the Gel'fand-Levitan theory for Stu~m-Liouville operators. It is proved that the coefficients in these operators are uniquely determined by n -1 distinct spectral ma