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@article{PFMT_2013_3_a10, author = {I. S. Kovaliova and A. R. Mirotin}, title = {Convolution theorem for the {Markov--Stieltjes} transformation}, journal = {Problemy fiziki, matematiki i tehniki}, pages = {66--70}, publisher = {mathdoc}, number = {3}, year = {2013}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/PFMT_2013_3_a10/} }
I. S. Kovaliova; A. R. Mirotin. Convolution theorem for the Markov--Stieltjes transformation. Problemy fiziki, matematiki i tehniki, no. 3 (2013), pp. 66-70. http://geodesic.mathdoc.fr/item/PFMT_2013_3_a10/
[1] A. R. Mirotin, Garmonicheskii analiz na abelevykh polugruppakh, GGU im. F. Skoriny, Gomel, 2008, 207 pp.
[2] N. S. Vyacheslavov, E. P. Mochalina, “Ratsionalnye priblizheniya funktsii tipa Markova–Stiltesa”, Vestnik MGU, Seriya 1. Matematika-mekhanika, 2008, no. 4, 3–13 | MR
[3] I. I. Khirshman, D. V. Uidder, Preobrazovaniya tipa svertki, IL, M., 1958, 309 pp.
[4] H. M. Srivastava, Vu Kim Tuan, “A new convolution theorem for the Stieltjes transform and its application to a class of singular integral equations”, Archiv der Mathematik, 64:2 (1995), 144–149 | DOI | MR | Zbl
[5] F. W. King, Hilbert transforms, v. in 2 Vol., Cambridge University Press, 2009, 858 pp. | MR
[6] S. K. Pichorides, “On the best values of the constants in the theorems of M. Riesz, Zygmund, and Kolmogorov”, Studia Math., 44:2 (1972), 165–169 | MR
[7] F. D. Gakhov, Kraevye zadachi, 3-e izd., pererab. i dop., Nauka. Glavnaya redaktsiya fiz.-mat. literatury, M., 1977, 640 pp. | MR
[8] A. P. Prudnikov, Yu. A. Brychkov, O. I. Marichev, Integraly i ryady, v 3 t., v. 1, Elementarnye funktsii, 2-e izd., ispr., Fizmatlit, M., 2002, 632 pp. | MR