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

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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. 
@article{ZNSL_2018_471_a3,
     author = {A. S. Blagoveschensky},
     title = {On waves generated by sources localized at infinity},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {59--75},
     publisher = {mathdoc},
     volume = {471},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2018_471_a3/}
}
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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/