Geodesic
A direct method of solving the singular integral equation with the Hilbert kernel
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2009), pp. 65-70

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In this paper we consider a class of singular integral second-kind equations with Hilbert kernel on the unit circumference. We theoretically justify a method based on an interpolation-type operator.
Mots-clés : Lebesgue space, convergence
Keywords: integral equation, singular integral with the Hilbert kernel, error estimate. 
@article{IVM_2009_6_a8,
     author = {V. P. Kadushin and A. I. Shakirov},
     title = {A direct method of solving the singular integral equation with the {Hilbert} kernel},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {65--70},
     publisher = {mathdoc},
     number = {6},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2009_6_a8/}
}
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V. P. Kadushin; A. I. Shakirov. A direct method of solving the singular integral equation with the Hilbert kernel. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2009), pp. 65-70. http://geodesic.mathdoc.fr/item/IVM_2009_6_a8/