An inverse problem for a class of canonical systems and its applications to self-reciprocal polynomials

Author:

Suzuki Masatoshi

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics,Analysis

Reference28 articles.

1. J.-F. Burnol, Scattering, determinants, hyperfunctions in relation to Γ(1-s)/Γ(s), Rejecta Mathematica 2 (2011), 59–118.

2. A. Cohn, Über die Anzahl der Wurzeln einer algebraischen Gleichung in einem Kreise, Math. Z. 14 (1922), 110–148.

3. L. de Branges, Hilbert Spaces of Entire Functions, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1968.

4. H. Dym, An introduction to de Branges spaces of entire functions with applications to differential equations of the Sturm-Liouville type, Advances in Math. 5 (1970), 395–471.

5. I. C. Gohberg and M. G. Kreĭn, Theory of Volterra operators in Hilbert space and its applications, Izdat. “Nauka”, Moscow 1967; English transl., Theory and Applications of Volterra Operators in Hilbert Space, Translations of Mathematical Monographs 24, American Mathematical Society, Providence, R.I., 1970.

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1. Interpretation of the Schur–Cohn Test in Terms of Canonical Systems;Michigan Mathematical Journal;2024-07-01

2. Hamiltonians arising from L-functions in the Selberg class;Journal of Functional Analysis;2021-10

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