Geodesic
Asymptotical representation of singular integral with the Hilbert kernel near a~point of weak continuity of density
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2015), pp. 58-62

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We derive asymptotical representation of singular integral with the Hilbert kernel near a fixed point at which an integral density vanishes as a negative power of module of logarithm of a distance from variable point to a fixed one.
Keywords: asymptotical representation, singular integral, Hölder condition, weak continuity.
Mots-clés : Hilbert kernel 
@article{IVM_2015_7_a5,
     author = {R. B. Salimov},
     title = {Asymptotical representation of singular integral with the {Hilbert} kernel near a~point of weak continuity of density},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {58--62},
     publisher = {mathdoc},
     number = {7},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2015_7_a5/}
}
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R. B. Salimov. Asymptotical representation of singular integral with the Hilbert kernel near a~point of weak continuity of density. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2015), pp. 58-62. http://geodesic.mathdoc.fr/item/IVM_2015_7_a5/