Expression of wave functions over a half space in terms of their boundary values
Author:
H. Poritsky
Journal:
Quart. Appl. Math. 14 (1956), 185-197
MSC:
Primary 35.0X
DOI:
https://doi.org/10.1090/qam/79709
MathSciNet review:
79709
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Additional Information
G. R. Kirchhoff in H. A. Lorenz, The theory of electrons, B. G. Teubner, 1916, p. 233-238.
B. B. Baker and E. T. Copson, Mathematical theory of Huygen’s principle, 1950, Ed. 2, Oxford, Clarendon Press.
A. Sommerfeld, P. Frank and R. v. Mises, Die Differential-und Integral gleichungen der Mechanik und Physik, Vol. II, 1935, p. 924.
- G. N. Watson, A Treatise on the Theory of Bessel Functions, Cambridge University Press, Cambridge, England; The Macmillan Company, New York, 1944. MR 0010746
J. Hadamard, Le Problème de Cauchy et les Équations aux Dérivées Paerielles Hyperboliques, Herman and Co., Paris, 1932.
G. R. Kirchhoff in H. A. Lorenz, The theory of electrons, B. G. Teubner, 1916, p. 233-238.
B. B. Baker and E. T. Copson, Mathematical theory of Huygen’s principle, 1950, Ed. 2, Oxford, Clarendon Press.
A. Sommerfeld, P. Frank and R. v. Mises, Die Differential-und Integral gleichungen der Mechanik und Physik, Vol. II, 1935, p. 924.
G. N. Watson, A treatise on the theory of Bessel functions, 2nd Ed., Cambridge University Press, 1944, Eq. (4), p. 416.
J. Hadamard, Le Problème de Cauchy et les Équations aux Dérivées Paerielles Hyperboliques, Herman and Co., Paris, 1932.
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Article copyright:
© Copyright 1956
American Mathematical Society
