References
Achieser, N.I., Glasmann, I.M.Theorie der linearen Operatoren im Hilbert-Raum. Akademie-Verlag, Berlin, 1954.
Akhiezer, N.I.The Classical Moment Problem. Oliver & Boyd, Edinburgh, 1965.
Atkinson, F.V.Discrete and Continuous Boundary Problems. Academic Press. New York, 1964.
de Branges, L. “Some Hilbert spaces of entire functions.”Trans. Amer. Math. Soc. 96 (1960), 259–295;99 (1961), 118 152;100 (1960), 73–115;105 (1962), 43–83.
de Branges, L.Hilbert Spaces of Entire Functions. Prentice Hall, Englewood Cliffs, N. J., 1968.
Dym, H. “An introduction to de Brange spaces of entire functions with applications to differential equations of Sturm-Liouville type.”Advances in Math. 5 (1970), 395–471.
Dym, H., Iacob, A. “Positive definite extensions, canonical equations and inverse problems.” in:Operator Theory: Advances Applications, Vol.12 (1984), 141–240.
Dym, H., McKean, H.P.Gaussian Processes, Function Theory, and the Inverse Spectral Problem. Academic Press, New York, 1976.
Krein, M. G. “On Hermitian operators with directing functionals” (Ukrainian).Sbirnik Prc Institutu Matematiki AN URSR 10 (1948), 83–106.
Krein, M.G. “On a generalization of investigations of Stieltjes” (Russian).Dokl. Akad. Nauk. SSSR 87 (1952), 881–884.
Krein, M.G. “On some cases of the effective determination of the density of a non-homogeneous string from its spectral funktion” (Russian).Dokl. Akad. Nauk. SSSR 93 (1953), 617–620.
Krein, M.G. “On a fundamental approximation problem in the theory of extrapolation and filtration of stationary random processes” (Russian).Dokl. Akad. Nauk. SSSR 94 (1954), 13–16.
Krein, M.G. “On the theory of entire matrix functions of exponential type” (Russian).Ukrain. Mat. Z. 3, 2(1952), 164–173.
Kac. I.S. “Linear relations, generated by a canonical differential equation on an interval with a regular endpoint, and expansibility in eigenfunctions” (Russian). Odessa, 1984.
Kae, I.S., Krein, M.G. “On the spectral functions of the string.”Amer. Math. Soc. Transl. (2).103 (1974), 19–102.
Krein, M.G., Langer H. “Continuation of Hermitian positive definite functions and related questions”, unpublished.
Sakhnovich, A.L. “Spectral functions of a canonical system of order2n,”Math. USSR Sbornik. 71 (1992), 355–369.
Sakhnovich, L.A. “The method of operator identities and problems of analysis,”Algebra and Analysis,5 (1993), 4–80.
Winkler, H. “On Transformations of Canonical Systems,” to appear in the proceedings of the workshop OT & BEP, Vienna 1993.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Winkler, H. The inverse spectral problem for canonical systems. Integr equ oper theory 22, 360–374 (1995). https://doi.org/10.1007/BF01378784
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01378784