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Störungstheorie des kontinuierlichen Spektrums für gewöhnliche Differentialgleichungen zweiter Ordnung. (German) Zbl 0050.31304

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[1] Stone, M. H.: Linear Transformations in Hilbert Space. New York 1932. · Zbl 0005.40003
[2] Weyl, H.: Über gewöhnliche Differentialgleichungen mit Singularitäten und die zugehörigen Entwicklungen willkürlicher Funktionen. Math. Ann.68, 220-269 (1910). · JFM 41.0343.01
[3] Titchmarsh, E. C.: Eigenfunction expansions associated with second-order differential equations. Oxford 1946. · Zbl 0061.13505
[4] Kodaira, K.: The eigenvalue problem for ordinary differential equations of second order andHeisenbergs theory of S-matrices. Amer. J. of Math.71, 921-945 (1949). · Zbl 0035.27101
[5] Levinson, N.: A simplified proof of the expansion theorem for singular second order linear differential equations. Duke Math. J.18, 57-71 (1951). · Zbl 0044.31302
[6] Rellich, F.: Störungstheorie der Spektralzerlegung. Math. Ann.: I. Mitt.113, 600-619 (1937); II. Mitt.113, 677-685 (1937); III. Mitt.116, 555-570 (1939); IV. Mitt.117, 356-382 (1940); V. Mitt.118, 462-484 (1942). · Zbl 0016.06301
[7] Nagy, B. v. Sz.: Perturbations des transformations autoadjointes dans l’espace deHilbert. Comm. math. helvet.19, 347-366 (1946/47). · Zbl 0035.20001
[8] Friedrichs, K. O.: On the perturbation of continuous spectra. Communications on Appl. Math.1, 361-406 (1948). · Zbl 0031.31204
[9] Heinz, E.: Beiträge zur Störungstheorie der Spektralzerlegung. Math. Ann.123, 415-438 (1951). · Zbl 0043.32603
[10] Wintner, A.: Spektraltheorie der unendlichen Matrizen. Leipzig 1929. · JFM 55.0230.02
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