References
Achieser, N.I., Glasmann, I.M.: Lineare Operatoren im Hilbert-Raum. Berlin: Akademie-Verlag 1977
Aronszajn, N.: On a problem of Weyl in the theory of singular Strum-Liouville equations. Am. J. Math.79, 597–610 (1957)
Berg, L.: Über eine Abschätzung von Mathieu, Math. Nachr.7, 257–259 (1952)
Donoghue, W.F.: On the perturbation of spectra. Comm. Pure Appl. Math.18, 559–579 (1965)
Donoghue, W.F.: Monotone matrix functions and analytic continuation. Berlin, Heidelberg, New York: Springer 1974
Gelfand, I.M., Levitan, B.M.: Determination of a differential equation from its spectral function. Izv. Akad. Nauk SSSR, Ser. Mat.15, 309–360 (1951)
Jörgens, K., Rellich, F.: Eigenwerttheorie gewöhnlicher Differentialgleichungen. Berlin, Heidelberg, New York: Springer 1976
Kato, T.: Perturbation theory for linear operators. Berlin, Heidelberg, New York: Springer 1966
Lewin, B.J.: Nullstellenverteilung ganzer Funktionen. Berlin: Akademie-Verlag 1962
Levitan, B.M., Gasimov, M.G.: Determination of a differential equation by two spectra. Usp. Mat. Nauk116, 3–63 (1964)
von Neumann, J.: Zur Theorie der unbeschränkten Matrizen. J. reine angew. Math.161, 208–236 (1929)
Naimark, M.A.: On the square of a closed symmetric operator. Dokl. Akad. Nauk SSSR26, 863–867 (1940);28, 207–208 (1940)
Richter, P.: Unitary representations of countably infinite dimensional Lie groups. Preprint, Leipzig, 1977
Riesz, F., SZ.-Nagy, B.: Vorlesungen über Funktionalanalysis. Berlin: Deutscher Verlag der Wissenschaften 1956
Schmüdgen, K.: On the Heisenberg commutation relationPQ−QP=il (to appear)
Weyl, H.: Über gewöhnliche Differentialgleichungen mit Singularitäten. Math. Ann.68, 222–269 (1910)
Wolf, F.: Perturbation by changes of one-dimensional boundary condition. Indag. Math.18, 360–366 (1956)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Schmüdgen, K. Perturbations of selfadjoint operators with point spectra by restrictions and selfadjoint extensions. Math. Ann. 256, 233–248 (1981). https://doi.org/10.1007/BF01450800
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01450800