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• [3] D. M. Eidus, The principle of limiting absorption, Amer. Math. Soc. Transl. 47 (1965), 157-192.
• [4] Kurt Friedrichs, Spektraltheorie halbbeschränkter Operatoren und Anwendung auf die Spektralzerlegung von Differentialoperatoren, Math. Ann. 109 (1934), no. 1, 465–487 (German). MR 1512905, http://dx.doi.org/10.1007/BF01449150
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• [12] A. A. Samarskiy and A. N. Tikhonov, On excitation of radio wave guides, Akad. Nauk SSSR. Ž. Tehn. Fiz. 17 (1947), 1283-1296.
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Bibliography

[1]

L. Bers, F. John and M. Schechter, Partial differential equations, Interscience, New York, 1964. MR 0163043 (29:346)

[2]

R. Courant and D. Hilbert, Methods of mathematical physics, Vol. I, Interscience, New York, 1953. MR 0065391 (16:426a)

[3]

D. M. Eidus, The principle of limiting absorption, Amer. Math. Soc. Transl. 47 (1965), 157-192.

[4]

K. Friedrichs, Spectraltheorie halbbeschränkter Operatoren, Math. Ann. 109 (1934), 465-487, 687-713. MR 1512905

[5]

T. Ikebe, Orthogonality of the eigenfunctions for the exterior problem connected with , Arch. Rational Mech. Anal. 19 (1965), 71-73. MR 0178236 (31:2494)

[6]

-, Eigenfunction expansions associated with the Schroedinger operator and their applications to scattering theory, Arch. Rational Mech. Anal. 5 (1960), 1-34. MR 0128355 (23:B1398)

[7]

D. S. Jones, The eigenvalues of when the boundary conditions are given on semi-infinite domains, Proc. Cambridge Philos. Soc. 49 (1953), 668-684. MR 0058086 (15:319c)

[8]

P. D. Lax, A Phragmén-Lindelöf theorem in harmonic analysis and applications to some questions in the theory of elliptic equations, Comm. Pure Appl. Math. 10 (1957), 361-391. MR 0093706 (20:229)

[9]

P. D. Lax and R. S. Phillips. Scattering theory, Bull. Amer. Math. Soc. 70 (1964), 130-142. MR 0167868 (29:5133)

[10]

C. Miranda, Equazioni alle derivate parziali di tipo ellittico, Springer, Berlin, 1955. MR 0087853 (19:421d)

[11]

F. Rellich, Über das asymptotische Verhaltung der Lösungen von in unendlichen Gebieten, Jber. Deutsch. Math.-Verein. 53 (1943), 157-165. MR 0017816 (8:204c)

[12]

A. A. Samarskiy and A. N. Tikhonov, On excitation of radio wave guides, Akad. Nauk SSSR. Ž. Tehn. Fiz. 17 (1947), 1283-1296.

[13]

N. Shenk, Eigenfunction expansions and scattering theory for the wave equation in an exterior region, Arch. Rational Mech. Anal. 21 (1966), 120-150. MR 0187631 (32:5081)

[14]

Y. Shizuta, Eigenfunction expansion associated with the operator in the exterior domain, Proc. Japan Acad. 39 (1963), 656-660. MR 0195420 (33:3620)

[15]

S. L. Sobolev, Some applications of functional analysis in mathematical physics, Transl. Math. Monographs, Vol. 7, Amer. Math. Soc., Providence, R. I., 1963.

[16]

M. Stone, Linear transformations in Hilbert space, Amer. Math. Soc. Colloq. Publ., Vol. 15, Amer. Math. Soc., Providence, R. I., 1932. MR 1451877 (99k:47001)

[17]

E. Titchmarsh, Introduction to the theory of Fourier integrals, Oxford Univ. Press, London, 1937.