Geodesic
On calculation of some integrals, describing the wave fields
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 28, Tome 257 (1999), pp. 44-55 
V. V. Kamotskii. On calculation of some integrals, describing the wave fields. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 28, Tome 257 (1999), pp. 44-55. http://geodesic.mathdoc.fr/item/ZNSL_1999_257_a2/
@article{ZNSL_1999_257_a2,
     author = {V. V. Kamotskii},
     title = {On calculation of some integrals, describing the wave fields},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {44--55},
     year = {1999},
     volume = {257},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1999_257_a2/}
}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

Two methods of calculation of scattering amplitude $f(\omega,\omega_0)$ of the wave scattered by the vertex of an arbitrarily shaped cone are justified. It is shown that the approximation $f_d(\omega,\omega_0,t)$, obtained by the method similar to Abel–Poisson's method of summation, converges uniformly in the domain of regularity of $f$. Also the possibility of calculation of $f(\omega,\omega_0)$ when $\omega\in N_1(\omega_0)$ by means of rapidly converging integrals is proved.