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Proceedings of the American Mathematical Society

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Canonical systems
and transfer matrix-functions

Author: Alexander Sakhnovich
Journal: Proc. Amer. Math. Soc. 125 (1997), 1451-1455
MSC (1991): Primary 34L40, 47A10
MathSciNet review: 1371140
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Abstract: The generalised Backlund-Darboux transform and its modifications are applied to the inverse spectral problems and problems on similarity of Hamiltonians for canonical systems.

References [Enhancements On Off] (What's this?)

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  • 2. Louis de Branges, Hilbert spaces of entire functions, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1968. MR 0229011
  • 3. L. A. Sakhnovich, Factorisation problems and operator identities, Uspekhi Mat. Nauk 41 (1986), no. 1, 3-55. Translated in: Russian Math. Surv. 41 (1986).
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Additional Information

Alexander Sakhnovich
Affiliation: Branch of Hydroacoustics, Marine Institute of Hydrophysics, Preobradjenskaya 3, 270100 Odessa, Ukraine
Address at time of publication: Faculteit Wiskunde en Informatica, De Boelelaan 1081a, 1081 HV Amsterdam, The Netherlands

Keywords: Canonical system, transfer function, Backlund-Darboux transform, operator identity, spectral function
Received by editor(s): May 8, 1995
Received by editor(s) in revised form: August 4, 1995, and November 27, 1995
Additional Notes: The author’s research was supported by ISF grant UCX000.
Communicated by: Palle E. T. Jorgensen
Article copyright: © Copyright 1997 American Mathematical Society