Geodesic
On waves generated by sources localized at infinity
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 48, Tome 471 (2018), pp. 59-75 Cet article a éte moissonné depuis la source Math-Net.Ru

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The space-time $\mathbb R^4$ is compactified by adding the manifold of infinitely distant points. The problem of constructing the solution of the wave equation with the right-hand side (the source of waves) which is a generalized function supported by the variety of infinitely distant points is posed and solved. Strict necessary and sufficient conditions that the source must satisfy, are formulated. 
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A. S. Blagoveschensky. On waves generated by sources localized at infinity. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 48, Tome 471 (2018), pp. 59-75. http://geodesic.mathdoc.fr/item/ZNSL_2018_471_a3/

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