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@article{IVM_2007_1_a2, author = {B. A. Kats and A. Yu. Pogodina}, title = {The jump problem and the {Faber--Schauder} series}, journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika}, pages = {16--22}, publisher = {mathdoc}, number = {1}, year = {2007}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/IVM_2007_1_a2/} }
B. A. Kats; A. Yu. Pogodina. The jump problem and the Faber--Schauder series. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2007), pp. 16-22. http://geodesic.mathdoc.fr/item/IVM_2007_1_a2/
[1] Gakhov F. D., Kraevye zadachi, Nauka, M., 1977, 640 pp. | MR
[2] Muskhelishvili N. I., Singulyarnye integralnye uravneniya. Granichnye zadachi teorii funktsii i nekotorye ikh prilozheniya k matematicheskoi fizike, GIFML, M., 1962, 600 pp.
[3] Kats B. A., “Kraevaya zadacha Rimana na negladkikh dugakh i fraktalnye razmernosti”, Algebra i analiz, 6:1 (1994), 172–202 | MR | Zbl
[4] Feder E., Fraktaly, Mir, M., 1991, 280 pp. | MR
[5] Kats B. A., “Kraevaya zadacha Rimana na zamknutoi zhordanovoi krivoi”, Izv. vuzov. Matematika, 1983, no. 4, 68–80 | MR | Zbl
[6] Kashin B. S., Saakyan A. A., Ortogonalnye ryady, Izd-vo AFTs, M., 1999, 550 pp. | MR
[7] Stein I., Singulyarnye integraly i differentsialnye svoistva funktsii, Mir, M., 1973, 342 pp. | MR
[8] Vekua I. N., Obobschennye analiticheskie funktsii, Mir, M., 1988, 509 pp. | MR
[9] Kats B. A., “Granichnye svoistva integrala Koshi po krivoi, teryayuschei spryamlyaemost v tochke”, Izv. vuzov. Matematika, 2006, no. 8, 29–37 | MR
[10] Dynkin E. M., “Gladkost integrala tipa Koshi”, Zap. nauchn. semin. LOMI AN SSSR, 92, 1979, 115–133 | MR
[11] Salimov T. S., “Pryamaya otsenka dlya singulyarnogo integrala Koshi po zamknutoi krivoi”, Nauchn. tr. MV i SSO Azerb. SSR, 1979, no. 5, 59–75 | MR
[12] Ciesielski Z., “Fractal functions and Schauder bases”, Comp. Math. Appl., 30 (1995), 283–291 | DOI | MR | Zbl
[13] Jaffard S., “Sur la dimension de boite des graphes”, C. R. Acad. Sci. Paris Ser. I Math., 326:5 (1998), 555–560 | MR | Zbl
[14] Kats B. A., “The Stieltjes integral along fractal curve”, Le Matem., LIV:1 (1999), 159–171 | MR
[15] Kats B. A., “The Cauchy integral along $\Phi$-rectifiable curve”, Lobachevskii J. Math., 7 (2000), 15–29 | MR | Zbl