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Green's Distributions Associated with the Operator [□ m − (−μ2) m ] l
1.J. J. Bowman and J. D. Harris, J. Math. Phys. 3, 396 (1962), hereafter referred to as (I).
2.L. Schwartz, Théorie des distributions, I, II (Hermann & Cie., Paris, 1950–51).
3.From now on we consider only distribution defined for the real axis. In Eq. (9) we put
4.J. Lavoine, Calcul symbolique (Centre National de la Recherche Scientifique, Paris, 1959).
5.J. Hadamard, Lectures on Conchy’s Problem in Linear Partial Differential Equations (Yale University Press, New Haven, Connecticut, 1923).
6.Equation (77) along with may be used to show that is indeed a solution of (62).
7.See (I) where the complete solution of the Cauchy problem for the iterated Klein‐Gordon operator is calculated in detail. The general solution for an arbitrary polynomial in □ appears in J. J. Bowman and J. D. Harris, J. Math. Phys. 3, 1281 (1962), preceding article.
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