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Eigenfunction expansions associated with Schrödinger operators in $$R_ n, n\geq 4$$. (English) Zbl 0168.12501

##### Keywords:
functional analysis
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##### References:
 [1] Ikebe, T., Eigenfunction expansions associated with the Schroedinger operator and their applications to scattering theory. Arch. Rational Mech. Anal. 5, 1-34 (1960). · Zbl 0145.36902 · doi:10.1007/BF00252896 [2] Rejto, P.A., On the essential spectrum of the hydrogen energy operator. MRC Tech. Summary Report No. 540, Madison, Wisc. · Zbl 0144.17701 [3] Shenk, N. A., Eigenfunction expansions and scattering theory for the wave equation in an exterior region. Arch. Rational Mech. Anal. 21, 120-150 (1966). · Zbl 0135.15602 · doi:10.1007/BF00266571 [4] Thoe, D.W., Spectral theory for the wave equation with a potential term. Arch. Rational Mech. Anal. (to appear). · Zbl 0143.33101 [5] Kato, T., and T. Ikebe, Uniqueness of the self-adjoint extensions of singular elliptic differential operators. Arch. Rational Mech. Anal. 9, 77-92 (1962). · Zbl 0103.31801 [6] Kato, T., Growth properties of solutions of the reduced wave equation with a variable coefficient. Comm. Pure Appl. Math. 12, 403-425 (1959). · Zbl 0091.09502 · doi:10.1002/cpa.3160120302 [7] Rejto, P.A., Some absolutely continuous operators II, MRC Tech. Summary Report No. 582, Madison, Wisc. [8] Watson, G., The Theory of Bessel Functions, p. 73. Cambridge: University Press 1922. · JFM 48.0412.02 [9] Povzner, A. Ya., On the expansions of arbitrary functions in terms of the eigenfunctions of the operator ??u + cu. Mat. Sbornik 32 (74), 109-156 (1953). · Zbl 0050.32201 [10] Riesz, F., & B. von Sz.-Nagy, Functional Analysis, p. 369. New York: F. Ungar Publ. Co. 1955. [11] Titchmarsh, E., Introduction to the Theory of Fourier Integrals, p. 31. London: Oxford University Press 1937. · Zbl 0017.40404 [12] Kuroda, S.T., On the existence and unitary property of the scattering operator. Nuovo Cimento 12, 431-454 (1959). · Zbl 0084.44801 · doi:10.1007/BF02745786 [13] Stone, M., Linear Transformations in Hubert Space, p. 183. New York: American Mathematical Society 1932. · Zbl 0005.40003
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