Geodesic
Solution of a first-kind convolution integral equation with a special kernel and a right-hand side
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 16 (2010) no. 4, pp. 74-78
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For a first-kind convolution integral equation with kernel $b/(b^2+x^2)$, an algorithm is developed for finding an approximate solution under the a priori information that the right-hand side belongs to a special class of functions.
Keywords: first-kind integral equation
Mots-clés : convolution, Fourier transform. 
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N. V. Baidakova; Yu. N. Subbotin; N. I. Chernykh. Solution of a first-kind convolution integral equation with a special kernel and a right-hand side. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 16 (2010) no. 4, pp. 74-78. http://geodesic.mathdoc.fr/item/TIMM_2010_16_4_a6/

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[2] Prudnikov A.P., Brychkov Yu.A., Marichev O.I., Integraly i ryady. Elementarnye funktsii, Nauka, M., 1981, 800 pp.