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Nelson, Stuart

On some solutions to the Klein-Gordon equation related to an integral of Sonine. (English) Zbl 0214.10102

Trans. Am. Math. Soc. 154, 227-237 (1971).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
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Cited in 6 Documents

MSC:

35A22 Transform methods (e.g., integral transforms) applied to PDEs
81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics
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References:

[1] H. Bateman Manuscript Project, Tables of integral transforms, A. Erdelyi (editor), McGraw-Hill, New York, 1954.
[2] S. Bochner and K. Chandrasekharan, Fourier Transforms, Annals of Mathematics Studies, no. 19, Princeton University Press, Princeton, N. J.; Oxford University Press, London, 1949. · Zbl 0065.34101
[3] A. R. Brodsky, Asymptotic decay of solutions to the relativistic wave equation and the existence of scattering for certain non-linear hyperbolic equations, Doctoral Thesis, Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Mass., 1964.
[4] S. Nelson, Asymptotic behavior of certain (quasi-) fundamental solutions to the Klein-Gordon equation, Doctoral Thesis, Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Mass., 1966.
[5] Stuart Nelson, \?² asymptotes for the Klein-Gordon equation, Proc. Amer. Math. Soc. 27 (1971), 110 – 116. · Zbl 0214.10201
[6] Irving Segal, Quantization and dispersion for nonlinear relativistic equations, Mathematical Theory of Elementary Particles (Proc. Conf., Dedham, Mass., 1965) M.I.T. Press, Cambridge, Mass., 1966, pp. 79 – 108.
[7] Irving Segal, Dispersion for non-linear relativistic equations. II, Ann. Sci. École Norm. Sup. (4) 1 (1968), 459 – 497. · Zbl 0179.42302
[8] G. N. Watson, Theory of Bessel functions, Cambridge Univ. Press, New York, 1922. · JFM 48.0412.02
[9] Walter Littman, Fourier transforms of surface-carried measures and differentiability of surface averages, Bull. Amer. Math. Soc. 69 (1963), 766 – 770. · Zbl 0143.34701
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