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A generalization of theorems of Rellich and Atkinson


Author: Calvin H. Wilcox
Journal: Proc. Amer. Math. Soc. 7 (1956), 271-276
MSC: Primary 81.0X
DOI: https://doi.org/10.1090/S0002-9939-1956-0078912-4
MathSciNet review: 0078912
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References [Enhancements On Off] (What's this?)

  • [1] F. V. Atkinson, On Sommerfeld's ``radiation condition," The Philosophical Magazine vol. 40 (1949) pp. 645-651. MR 0030103 (10:714a)
  • [2] B. B. Baker and E. T. Copson, The mathematical theory of Huygens' principle, 2d ed., Oxford, 1950.
  • [3] R. B. Barrar and A. F. Kay, A series development of a solution of the wave equation in powers of 1/r, Technical Research Group, New York City, unpublished.
  • [4] O. D. Kellogg, Foundations of potential theory, New York, Ungar, 1929.
  • [5] F. Rellich, Über das asymptotische Verhalten der Lösungen von $ \Delta u + ku = 0$ im unendlichen Gebieten, Jber. Deutschen Math. Verein. vol. 53 (1943) pp. 57-64. MR 0017816 (8:204c)
  • [6] A. Sommerfeld, Die Greensche Funktion der Schwingungsgleichung, Jber. Deutschen Math. Verein. vol. 21 (1912) pp. 309-353.

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DOI: https://doi.org/10.1090/S0002-9939-1956-0078912-4
Article copyright: © Copyright 1956 American Mathematical Society

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