Geodesic
Solution of singular integral equations by the method of oscillating functions
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2009), pp. 28-35

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In this paper we consider a singular integral equation with the Hilbert kernel in the space of summable complex-valued $2\pi$-periodic functions with the usual norm. We theoretically justify the proposed method, establish its convergence, and estimate the error.
Keywords: singular integral equation with the Hilbert kernel, average convergence, error estimates.
Mots-clés : uniform convergence 
@article{IVM_2009_12_a3,
     author = {L. B. Ermolaeva},
     title = {Solution of singular integral equations by the method of oscillating functions},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {28--35},
     publisher = {mathdoc},
     number = {12},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2009_12_a3/}
}
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L. B. Ermolaeva. Solution of singular integral equations by the method of oscillating functions. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2009), pp. 28-35. http://geodesic.mathdoc.fr/item/IVM_2009_12_a3/