The principle of localization in the theory of Steklov orthogonal polynomials
Izvestiya. Mathematics, Tome 9 (1975) no. 2, pp. 380-389
Cet article a éte moissonné depuis la source Math-Net.Ru
We strengthen, and prove by a new method, the principle of localization in the theory of orthogonal polynomials, which was previously discussed by G. Freud. We sharpen a theorem of Geronimus on Steklov orthogonal polynomials. Bibliography: 7 items.
@article{IM2_1975_9_2_a7,
author = {B. L. Golinskii},
title = {The principle of localization in the theory of {Steklov} orthogonal polynomials},
journal = {Izvestiya. Mathematics},
pages = {380--389},
year = {1975},
volume = {9},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1975_9_2_a7/}
}
B. L. Golinskii. The principle of localization in the theory of Steklov orthogonal polynomials. Izvestiya. Mathematics, Tome 9 (1975) no. 2, pp. 380-389. http://geodesic.mathdoc.fr/item/IM2_1975_9_2_a7/
[1] Geronimus Ya. L., Mnogochleny, ortogonalnye na okruzhnosti i na otrezke, Fizmatgiz, M., 1968
[2] Kachmazh S., Shteingauz G., Teoriya ortogonalnykh ryadov, GONTI, M., 1958
[3] Freud G., Orthogonale Polynome, Berlin, 1969 | MR
[4] Geronimus Ya. L., “Polinomy, ortogonalnye na kruge, i ikh prilozheniya”, Zap. Nauchno-issled. in-ta matematiki i mekhaniki XMO, XIX, no. 4, 1948, 35–120 | MR
[5] Zigmund A., Trigonometricheskie ryady, t. 1, Mir, M., 1965 | MR
[6] Grenander U., Sege G., Teplitsevy formy i ikh prilozheniya, IL, M., 1961
[7] Trigub R. M., “Konstruktivnye kharakteristiki nekotorykh klassov funktsii”, Izv. AN SSSR. Ser. matem., 29 (1965), 615–630 | MR