Geodesic
One-dimensional singular integral equations with coefficients vanishing on countable sets
Izvestiya. Mathematics , Tome 31 (1988) no. 2, pp. 245-271

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On the basis of the principle of normalization of linear operators a general method is constructed for investigating one-dimensional singular integral equations in the space $L_p(\Gamma,\rho)$ in the case when their coefficients are degenerate on countable sets. In particular, zero sets satisfying the Carleson $\delta$-condition are studied, along with the images of such sets under linear fractional transformations. Bibliography: 38 titles. 
@article{IM2_1988_31_2_a1,
     author = {V. B. Dybin},
     title = {One-dimensional singular integral equations with coefficients vanishing on countable sets},
     journal = {Izvestiya. Mathematics },
     pages = {245--271},
     publisher = {mathdoc},
     volume = {31},
     number = {2},
     year = {1988},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1988_31_2_a1/}
}
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V. B. Dybin. One-dimensional singular integral equations with coefficients vanishing on countable sets. Izvestiya. Mathematics , Tome 31 (1988) no. 2, pp. 245-271. http://geodesic.mathdoc.fr/item/IM2_1988_31_2_a1/