Geodesic
Application of the Fourier Transform to the Solution of Singular Integral Equations
Matematičeskie zametki, Tome 74 (2003) no. 5, pp. 739-744 
I. A. Soldatenkov. Application of the Fourier Transform to the Solution of Singular Integral Equations. Matematičeskie zametki, Tome 74 (2003) no. 5, pp. 739-744. http://geodesic.mathdoc.fr/item/MZM_2003_74_5_a9/
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     author = {I. A. Soldatenkov},
     title = {Application of the {Fourier} {Transform} to the {Solution} of {Singular} {Integral} {Equations}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {739--744},
     year = {2003},
     volume = {74},
     number = {5},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2003_74_5_a9/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

A method for solving a certain system of singular integral equations with constant coefficients is proposed. It is based on a procedure for reducing singular equations to equations with continuous difference kernel; the solution of the latter is constructed by using the classical Fourier transform in the class of absolutely integrable functions. Explicit expressions for the solution of the singular integral equations under consideration are obtained.

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