Geodesic
Partial radiation conditions and hypersingular integral operators
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 9, pp. 1652-1658

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The structure of the partial radiation conditions is analyzed. It is found that the principal part of the operator defining these conditions defines a hypersingular operator. The series corresponding to the operator associated with the boundary conditions is transformed to a rapidly converging series. 
@article{ZVMMF_2009_49_9_a11,
     author = {A. L. Delitsyn},
     title = {Partial radiation conditions and hypersingular integral operators},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1652--1658},
     publisher = {mathdoc},
     volume = {49},
     number = {9},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_9_a11/}
}
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A. L. Delitsyn. Partial radiation conditions and hypersingular integral operators. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 9, pp. 1652-1658. http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_9_a11/