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@article{AA_2015_27_1_a2,
author = {A. M. Gaisin and R. A. Gaisin},
title = {Incomplete system of exponentials on arcs and nonquasianalytic {Carleman} {classes.~II}},
journal = {Algebra i analiz},
pages = {49--73},
publisher = {mathdoc},
volume = {27},
number = {1},
year = {2015},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/AA_2015_27_1_a2/}
}
A. M. Gaisin; R. A. Gaisin. Incomplete system of exponentials on arcs and nonquasianalytic Carleman classes.~II. Algebra i analiz, Tome 27 (2015) no. 1, pp. 49-73. http://geodesic.mathdoc.fr/item/AA_2015_27_1_a2/
[1] Leontev A. F., Posledovatelnosti polinomov iz eksponent, Nauka, M., 1980 | MR
[2] Korevaar J., “Müntz approximation on arcs and Macintyre exponents”, Lecture Notes in Math., 747, Springer, Berlin, 1979, 205–218 | DOI | MR
[3] Korevaar J., “Approximation on curves by linear combinations of exponentials”, Approxim. Theory, Acad. Press, New York, 1973, 387–399 | MR
[4] Leontev A. F., “O polnote sistemy eksponent na krivoi”, Sib. mat. zh., 15:5 (1974), 1103–1114 | MR | Zbl
[5] Malliavin P., Siddiqi J., “Approxmation polynomiale sur un arc analutique dans le plan complexe”, C. R. Acad. Sci. Paris Sér. A–B, 273:2 (1971), A105–A108 | MR
[6] Siddiqi J., “Approxmation polynomiale sur un arc analutique dans le plan complexe”, C. R. Acad. Sci. Paris Ser. A–B, 277 (1973), A731–A733 | MR
[7] Malliavin P., Siddiqi J. A., “Classes de fonctions monogenes et approximation par des sommes d'exponentielles sur un arc rectifiable de $\mathbb C$”, C. R. Acad. Sci. Paris Ser. A–B, 282:18 (1976), A1091–A1094 | MR
[8] Baillette A., Siddiqi J. A., “Approximation de fonctions par des sommes d'exponentielles sur un arc rectifiable”, J. Analyse Math., 40 (1981), 263–268 | DOI | MR | Zbl
[9] Siddiqi J. A., “Non-spanning sequenses of exponentials on rectifiable plane arcs”, Linear and complex analysis, Problem book, Lecture Notes in Math., 1043, Springer-Verlag, Berlin, 1984, 555–556
[10] Gaisin A. M., Kinzyabulatov I. G., “Teorema tipa Levinsona–Schëberga. Primeneniya”, Mat. sb., 199:7 (2008), 41–62 | DOI | MR | Zbl
[11] Korevaar J., Dixon M., “Nonspanning sets of exponentials on curves”, Acta Math. Acad. Sci. Hungar., 33:1–2 (1979), 89–100 | DOI | MR | Zbl
[12] Gaisin A. M., “Usilennaya nepolnota sistemy eksponent i problema Makintaira”, Mat. sb., 182:7 (1991), 931–945 | MR | Zbl
[13] Gaisin A. M., “Uslovie Levinsona v teorii tselykh funktsii. Ekvivalentnye utverzhdeniya”, Mat. zametki, 83:3 (2008), 350–360 | DOI | MR | Zbl
[14] Leontev A. F., Ryady eksponent, Nauka, M., 1976 | MR
[15] Mandelbroit S., Primykayuschie ryady. Regulyarizatsiya posledovatelnostei. Primeneniya, IL, M., 1955
[16] Bang T., Om quasi-analytiske functioner, Thesis, Copenhagen Univ., 1946 | MR
[17] Dixon M., Korevaar J., “Nonspanning sets of powers on curves: analyticity theorem”, Duke Math. J., 45:3 (1978), 543–559 | DOI | MR | Zbl
[18] Gaisin R. A., “Otsenka promezhutochnykh proizvodnykh i teoremy tipa Banga. I”, Algebra i analiz, 27:1 (2015), 23–48
[19] Schwartz L., “Approximation d'un fonction quelconque par des sommes d'exponentielles imaginaires”, Ann. Fac. Sci. Univ. Toulouse (4), 6 (1943), 111–176 | DOI | MR | Zbl
[20] Schwartz L., Etude des sommes d'exponentielles rulles, Actualités Sci. Ind., 959, Hermann, Paris, 1943
[21] Khabibullin B. N., Polnota sistem eksponent i mnozhestva edinstvennosti, BashGU, Ufa, 2006
[22] Krasichkov I. F., “O skhodimosti polinomov Dirikhle”, Sib. mat. zh., 7:5 (1966), 1039–1058 | Zbl
[23] Zeinstra R., “Zeros and regular growth of Laplace transforms along curves”, J. Reine Angew. Math., 424 (1992), 1–15 | MR | Zbl
[24] Kolmogorov A. N., Fomin S. V., Elementy teorii funktsii i funktsionalnogo analiza, Nauka, M., 1975
[25] Shabat B. V., Vvedenie v kompleksnyi analiz, Ch. I, Nauka, M., 1976 | MR
[26] Fryntov A. E., Operatory, sokhranyayuschie subgarmonichnost, i nekotorye zadachi klassicheskogo kompleksnogo analiza, Dis. na soisk. uchen. st. dokt. fiz.-mat. nauk, FTINT NAN Ukrainy, Kharkov, 1995