Pospelov, A. S. Some estimates of the Gibbs function for partial sums of Fourier series in \(\Lambda\)-multiplicative systems. (English. Russian original) Zbl 0765.42017 Sov. Math., Dokl. 43, No. 2, 464-466 (1991); translation from Dokl. Akad. Nauk SSSR 317, No. 3, 573-575 (1991). Reviewer: F.Móricz (Szeged) MSC: 42C10 PDFBibTeX XMLCite \textit{A. S. Pospelov}, Sov. Math., Dokl. 43, No. 2, 464--466 (1991; Zbl 0765.42017); translation from Dokl. Akad. Nauk SSSR 317, No. 3, 573--575 (1991)
Lyskova, A. S. Orthogonal polynomials in several variables. (English. Russian original) Zbl 0765.33009 Sov. Math., Dokl. 43, No. 1, 264-268 (1991); translation from Dokl. Akad. Nauk SSSR 316, No. 6, 1301-1306 (1991). Reviewer: C. M. Joshi (Udaipur) MSC: 33C50 PDFBibTeX XMLCite \textit{A. S. Lyskova}, Sov. Math., Dokl. 43, No. 1, 264--268 (1991; Zbl 0765.33009); translation from Dokl. Akad. Nauk SSSR 316, No. 6, 1301--1306 (1991)
Nakhman, A. D. Marcinkiewicz-type means of polynomial Fourier expansions. (English. Russian original) Zbl 0791.42018 Sov. Math., Dokl. 44, No. 3, 726-729 (1992); translation from Dokl. Akad. Nauk SSSR 321, No. 3, 474-477 (1991). Reviewer: B.Osilenker (Moskva) MSC: 42C10 42C15 PDFBibTeX XMLCite \textit{A. D. Nakhman}, Sov. Math., Dokl. 44, No. 3, 1 (1991; Zbl 0791.42018); translation from Dokl. Akad. Nauk SSSR 321, No. 3, 474--477 (1991)
Rodin, V. A. The BMO-property of the partial sums of a Fourier series. (English. Russian original) Zbl 0768.42006 Sov. Math., Dokl. 44, No. 1, 294-296 (1992); translation from Dokl. Akad. Nauk SSSR 319, No. 5, 1079-1081 (1991). MSC: 42A16 42C10 PDFBibTeX XMLCite \textit{V. A. Rodin}, Sov. Math., Dokl. 44, No. 1, 294--296 (1991; Zbl 0768.42006); translation from Dokl. Akad. Nauk SSSR 319, No. 5, 1079--1081 (1991)
Ovcharenko, I. E. Some applications of the Chebyshev recursion. (English. Russian original) Zbl 0770.42017 Sov. Math., Dokl. 44, No. 1, 111-115 (1992); translation from Dokl. Akad. Nauk SSSR 319, No. 2, 287-291 (1991). Reviewer: J.Musielak (Poznań) MSC: 42C10 46C05 35Q40 PDFBibTeX XMLCite \textit{I. E. Ovcharenko}, Sov. Math., Dokl. 44, No. 1, 111--115 (1991; Zbl 0770.42017); translation from Dokl. Akad. Nauk SSSR 319, No. 2, 287--291 (1991)
Teplyaev, A. V. The pure point spectrum of random polynomials orthogonal on the circle. (English. Russian original) Zbl 0772.42015 Sov. Math., Dokl. 44, No. 2, 407-411 (1992); translation from Dokl. Akad. Nauk SSSR 320, No. 1, 49-53 (1991). Reviewer: F.Móricz (Szeged) MSC: 42C05 33E30 PDFBibTeX XMLCite \textit{A. V. Teplyaev}, Sov. Math., Dokl. 44, No. 2, 407--411 (1991; Zbl 0772.42015); translation from Dokl. Akad. Nauk SSSR 320, No. 1, 49--53 (1991)
Bochkarev, S. V. Rearrangements of multiplicative systems. (English. Russian original) Zbl 0771.42016 Sov. Math., Dokl. 43, No. 3, 708-710 (1991); translation from Dokl. Akad. Nauk SSSR 318, No. 3, 521-523 (1991). Reviewer: W.R.Wade (Knoxville) MSC: 42C10 PDFBibTeX XMLCite \textit{S. V. Bochkarev}, Sov. Math., Dokl. 43, No. 3, 708--710 (1991; Zbl 0771.42016); translation from Dokl. Akad. Nauk SSSR 318, No. 3, 521--523 (1991)
Osilenker, B. P. The generalized shift operator with respect to orthogonal matrix polynomials. (English. Russian original) Zbl 0816.47027 Sov. Math., Dokl. 43, No. 3, 698-700 (1991); translation from Dokl. Akad. Nauk SSSR 318, No. 2, 282-284 (1991). Reviewer: S.-C.Chang (St.Catharines) MSC: 47B37 PDFBibTeX XMLCite \textit{B. P. Osilenker}, Sov. Math., Dokl. 43, No. 3, 698--700 (1991; Zbl 0816.47027); translation from Dokl. Akad. Nauk SSSR 318, No. 2, 282--284 (1991)
Grigoryan, M. G. On the convergence of Laplace and Fourier series. (English. Russian original) Zbl 0749.42011 Sov. Math., Dokl. 42, No. 3, 736-737 (1991); translation from Dokl. Akad. Nauk SSSR 315, No. 2, 265-266 (1990). Reviewer: W.R.Wade (Knoxville) MSC: 42C10 42C20 PDFBibTeX XMLCite \textit{M. G. Grigoryan}, Sov. Math., Dokl. 42, No. 3, 736--737 (1990; Zbl 0749.42011); translation from Dokl. Akad. Nauk SSSR 315, No. 2, 265--266 (1990)
Getsadze, R. D. On the divergence in measure of general multiple orthogonal Fourier series. (English. Russian original) Zbl 0693.42022 Sov. Math., Dokl. 39, No. 3, 430-431 (1989); translation from Dokl. Akad. Nauk SSSR 306, No. 1, 24-25 (1989). Reviewer: Y.Sitaraman MSC: 42C15 42C10 42C05 42B99 PDFBibTeX XMLCite \textit{R. D. Getsadze}, Sov. Math., Dokl. 39, No. 3, 430--431 (1989; Zbl 0693.42022); translation from Dokl. Akad. Nauk SSSR 306, No. 1, 24--25 (1989)
Vaksman, L. L. q-analogues of Clebsch-Gordan coefficients, and the algebra of functions on the quantum group SU(2). (English. Russian original) Zbl 0693.33006 Sov. Math., Dokl. 39, No. 3, 467-470 (1989); translation from Dokl. Akad. Nauk SSSR 306, No. 2, 269-271 (1989). Reviewer: A.Klimyk MSC: 33C45 33C80 81R10 PDFBibTeX XMLCite \textit{L. L. Vaksman}, Sov. Math., Dokl. 39, No. 3, 467--470 (1989; Zbl 0693.33006); translation from Dokl. Akad. Nauk SSSR 306, No. 2, 269--271 (1989)
Rozenblyum, A. V.; Rozenblyum, L. V. Spectral analysis of infinitesimal operators of representations of the unitary group. (English. Russian original) Zbl 0723.22013 Sov. Math., Dokl. 36, No. 3, 619-623 (1988); translation from Dokl. Akad. Nauk SSSR 297, 1317-1321 (1987). MSC: 22E45 33C45 17B15 PDFBibTeX XMLCite \textit{A. V. Rozenblyum} and \textit{L. V. Rozenblyum}, Sov. Math., Dokl. 36, No. 3, 619--623 (1988; Zbl 0723.22013); translation from Dokl. Akad. Nauk SSSR 297, 1317--1321 (1987)
Osilenker, B. P. The generalized shift operator and a convolution structure for orthogonal polynomials. (English. Russian original) Zbl 0717.42030 Sov. Math., Dokl. 37, No. 1, 217-221 (1988); translation from Dokl. Akad. Nauk SSSR 298, No. 5, 1072-1076 (1988). Reviewer: W.Van Assche MSC: 42C10 42A85 42A24 PDFBibTeX XMLCite \textit{B. P. Osilenker}, Sov. Math., Dokl. 37, No. 1, 217--221 (1988; Zbl 0717.42030); translation from Dokl. Akad. Nauk SSSR 298, No. 5, 1072--1076 (1988)
Mushegyan, G. M. On uniqueness of an everywhere convergent rearranged orthogonal series. (English. Russian original) Zbl 0716.42023 Sov. Math., Dokl. 37, No. 2, 342-345 (1988); translation from Dokl. Akad. Nauk SSSR 299, No. 1, 53-57 (1988). Reviewer: W.R.Wade MSC: 42C10 PDFBibTeX XMLCite \textit{G. M. Mushegyan}, Sov. Math., Dokl. 37, No. 2, 342--345 (1988; Zbl 0716.42023); translation from Dokl. Akad. Nauk SSSR 299, No. 1, 53--57 (1988)
Nikiforov, A. F.; Suslov, S. K.; Uvarov, V. B. Correction: Classical orthogonal polynomials in a discrete variable on nonuniform lattices. (English. Russian original) Zbl 0645.33019 Sov. Math., Dokl. 36, No. 2, 576-579 (1988); translation from Dokl. Akad. Nauk SSSR 296, 1056-1059 (1987). MSC: 33C45 PDFBibTeX XMLCite \textit{A. F. Nikiforov} et al., Sov. Math., Dokl. 36, No. 2, 576--579 (1988; Zbl 0645.33019); translation from Dokl. Akad. Nauk SSSR 296, 1056--1059 (1987)
Osipov, V. B.; Sadovskaya, O. B.; Semenov, E. M. Two-sided estimates of Fourier-Haar multipliers. (English. Russian original) Zbl 0641.42023 Sov. Math., Dokl. 35, No. 3, 521-523 (1987); translation from Dokl. Akad. Nauk SSSR 294, No. 2, 276-278 (1987). Reviewer: W.R.Wade MSC: 42C10 42C20 47B38 PDFBibTeX XMLCite \textit{V. B. Osipov} et al., Sov. Math., Dokl. 35, No. 3, 521--523 (1987; Zbl 0641.42023); translation from Dokl. Akad. Nauk SSSR 294, No. 2, 276--278 (1987)
Nikol’skij, S. M.; Lizorkin, P. I. Approximation of functions by spherical polynomials in the \(L_ p\) metric. (English. Russian original) Zbl 0631.41020 Sov. Math., Dokl. 34, 75-78 (1987); translation from Dokl. Akad. Nauk SSSR 289, 285-289 (1986). Reviewer: F.Haslinger MSC: 41A40 42B30 42C10 33C55 PDFBibTeX XMLCite \textit{S. M. Nikol'skij} and \textit{P. I. Lizorkin}, Sov. Math., Dokl. 34, 75--78 (1987; Zbl 0631.41020); translation from Dokl. Akad. Nauk SSSR 289, 285--289 (1986)
Nikiforov, A. F.; Suslov, S. K.; Uvarov, V. B. Classical orthogonal polynomials in a discrete variable on nonuniform lattices. (English. Russian original) Zbl 0636.33008 Sov. Math., Dokl. 34, 576-579 (1987); translation from Dokl. Akad. Nauk SSSR 291, 1056-1059 (1986). Reviewer: H.Exton MSC: 33C45 PDFBibTeX XMLCite \textit{A. F. Nikiforov} et al., Sov. Math., Dokl. 34, 576--579 (1986; Zbl 0636.33008); translation from Dokl. Akad. Nauk SSSR 291, 1056--1059 (1986)
Balykbaev, T. O. On a class of lacunary orthonormal systems. (English. Russian original) Zbl 0615.42014 Sov. Math., Dokl. 33, 267-269 (1986); translation from Dokl. Akad. Nauk SSSR 286, 1289-1292 (1986). Reviewer: K.Tandori MSC: 42C15 42C05 30B10 46E30 PDFBibTeX XMLCite \textit{T. O. Balykbaev}, Sov. Math., Dokl. 33, 267--269 (1986; Zbl 0615.42014); translation from Dokl. Akad. Nauk SSSR 286, 1289--1292 (1986)
Il’in, V. A.; Joó, István A theorem on equiconvergence with a trigonometric series for Fourier series in eigenfunctions of the one-dimensional Schrödinger operator. (English. Russian original) Zbl 0611.42018 Sov. Math., Dokl. 32, 664-667 (1985); translation from Dokl. Akad. Nauk SSSR 285, 274-277 (1985). Reviewer: W.Wade MSC: 42C10 PDFBibTeX XMLCite \textit{V. A. Il'in} and \textit{I. Joó}, Sov. Math., Dokl. 32, 664--667 (1985; Zbl 0611.42018); translation from Dokl. Akad. Nauk SSSR 285, 274--277 (1985)
Komissarov, A. A. On some properties of the Haar and Franklin systems. (English. Russian original) Zbl 0605.42021 Sov. Math., Dokl. 32, 876-879 (1985); translation from Dokl. Akad. Nauk SSSR 285, 1310-1313 (1985). Reviewer: B.Kuttner MSC: 42C10 PDFBibTeX XMLCite \textit{A. A. Komissarov}, Sov. Math., Dokl. 32, 876--879 (1985; Zbl 0605.42021); translation from Dokl. Akad. Nauk SSSR 285, 1310--1313 (1985)
Bugadze, V. M. Absolute convergence of the Fourier-Haar series of a composition of functions. (English. Russian original) Zbl 0602.42028 Sov. Math., Dokl. 30, 398-400 (1984); translation from Dokl. Akad. Nauk SSSR 278, 521-523 (1984). MSC: 42C10 42C20 42A20 PDFBibTeX XMLCite \textit{V. M. Bugadze}, Sov. Math., Dokl. 30, 398--400 (1984; Zbl 0602.42028); translation from Dokl. Akad. Nauk SSSR 278, 521--523 (1984)
Balashov, L. A. Divergence of Fourier-Walsh series. (English. Russian original) Zbl 0589.42015 Sov. Math., Dokl. 29, 85-86 (1984); translation from Dokl. Akad. Nauk SSSR 274, 779-780 (1984). Reviewer: J.A.Siddiqi MSC: 42C10 42A20 PDFBibTeX XMLCite \textit{L. A. Balashov}, Sov. Math., Dokl. 29, 85--86 (1984; Zbl 0589.42015); translation from Dokl. Akad. Nauk SSSR 274, 779--780 (1984)
Balashov, L. A.; Skvortsov, V. A. The Gibbs phenomenon for the Walsh system. (English. Russian original) Zbl 0524.42012 Sov. Math., Dokl. 27, 198-199 (1983); translation from Dokl. Akad. Nauk SSSR 268, 1033-1034 (1983). MSC: 42C10 PDFBibTeX XMLCite \textit{L. A. Balashov} and \textit{V. A. Skvortsov}, Sov. Math., Dokl. 27, 198--199 (1983; Zbl 0524.42012); translation from Dokl. Akad. Nauk SSSR 268, 1033--1034 (1983)
Vladimirov, V. S.; Volovich, I. V. The Wiener-Hopf equation, the Riemann-Hilbert problem, and orthogonal polynomials. (English. Russian original) Zbl 0533.15001 Sov. Math., Dokl. 26, 415-419 (1982); translation from Dokl. Akad. Nauk SSSR 266, 788-792 (1982). Reviewer: Z.Binderman MSC: 15A06 30E25 47B35 45E10 PDFBibTeX XMLCite \textit{V. S. Vladimirov} and \textit{I. V. Volovich}, Sov. Math., Dokl. 26, 415--419 (1982; Zbl 0533.15001); translation from Dokl. Akad. Nauk SSSR 266, 788--792 (1982)
Osilenker, B. P. On Fourier-Pollaczek series. (English. Russian original) Zbl 0519.42021 Sov. Math., Dokl. 26, 153-156 (1982); translation from Dokl. Akad. Nauk SSSR 265, 811-815 (1982). MSC: 42C15 33C45 42C05 40G05 40G10 PDFBibTeX XMLCite \textit{B. P. Osilenker}, Sov. Math., Dokl. 26, 153--156 (1982; Zbl 0519.42021); translation from Dokl. Akad. Nauk SSSR 265, 811--815 (1982)
Krejn, M. G.; Langer, Heinz Continuous analogues of orthogonal polynomials with respect to an infinite weight on the unit circle, and extension problems associated with them. (English. Russian original) Zbl 0514.42027 Sov. Math., Dokl. 23, 553-557 (1981); translation from Dokl. Akad. Nauk SSSR 258, 539-541 (1981). MSC: 42C05 47Gxx 30D99 PDFBibTeX XMLCite \textit{M. G. Krejn} and \textit{H. Langer}, Sov. Math., Dokl. 23, 553--557 (1981; Zbl 0514.42027); translation from Dokl. Akad. Nauk SSSR 258, 539--541 (1981)
Pulatov, A. K. On uniform convergence and localization for arithmetic means of Fourier- Laplace series. (English. Russian original) Zbl 0512.42027 Sov. Math., Dokl. 23, 572-575 (1981); translation from Dokl. Akad. Nauk SSSR 258, 554-556 (1981). MSC: 42C10 42C25 33C55 33C45 42C15 PDFBibTeX XMLCite \textit{A. K. Pulatov}, Sov. Math., Dokl. 23, 572--575 (1981; Zbl 0512.42027); translation from Dokl. Akad. Nauk SSSR 258, 554--556 (1981)
Rakhmanov, E. A. On the asymptotic properties of polynomials orthogonal on the real axis. (English. Russian original) Zbl 0498.30048 Sov. Math., Dokl. 24, 505-507 (1981); translation from Dokl. Akad. Nauk SSSR 261, 282-284 (1981). MSC: 30E15 33C45 30C10 PDFBibTeX XMLCite \textit{E. A. Rakhmanov}, Sov. Math., Dokl. 24, 505--507 (1981; Zbl 0498.30048); translation from Dokl. Akad. Nauk SSSR 261, 282--284 (1981)
Motornyj, V. P. Approximation of functions in the mean by Fourier-Legendre sums. (English. Russian original) Zbl 0491.42026 Sov. Math., Dokl. 24, 33-36 (1981); translation from Dokl. Akad. Nauk SSSR 259, 39-42 (1981). MSC: 42C10 41A30 33C45 46E35 PDFBibTeX XMLCite \textit{V. P. Motornyj}, Sov. Math., Dokl. 24, 33--36 (1981; Zbl 0491.42026); translation from Dokl. Akad. Nauk SSSR 259, 39--42 (1981)
Suetin, S. P. On de Montessus de Ballore’s theorem for nonlinear Padé approximants of orthogonal expansions and Faber series. (English. Russian original) Zbl 0492.41026 Sov. Math., Dokl. 22, 274-277 (1980); translation from Dokl. Akad. Nauk SSSR 253, 1322-1325 (1980). MSC: 41A21 42C10 30E10 PDFBibTeX XMLCite \textit{S. P. Suetin}, Sov. Math., Dokl. 22, 274--277 (1980; Zbl 0492.41026); translation from Dokl. Akad. Nauk SSSR 253, 1322--1325 (1980)
Dubrovin, B. A.; Novikov, S. P. Ground states in a periodic field. Magnetic Bloch functions and vector bundles. (English. Russian original) Zbl 0489.46055 Sov. Math., Dokl. 22, 240-244 (1980); translation from Dokl. Akad. Nauk SSSR 253, 1293-1297 (1980). MSC: 46N99 81Q15 33C45 30D45 37J99 70H05 47A55 PDFBibTeX XMLCite \textit{B. A. Dubrovin} and \textit{S. P. Novikov}, Sov. Math., Dokl. 22, 240--244 (1980; Zbl 0489.46055); translation from Dokl. Akad. Nauk SSSR 253, 1293--1297 (1980)
Lukashenko, S. Yu. On the structure of sets of divergence of trigonometric series and series in the Walsh system. (English. Russian original) Zbl 0488.42008 Sov. Math., Dokl. 22, 112-114 (1980); translation from Dokl. Akad. Nauk SSSR 253, 528-530 (1980). MSC: 42C10 42A20 PDFBibTeX XMLCite \textit{S. Yu. Lukashenko}, Sov. Math., Dokl. 22, 112--114 (1980; Zbl 0488.42008); translation from Dokl. Akad. Nauk SSSR 253, 528--530 (1980)
Rakhmanov, E. A. On a problem of V. A. Steklov in the theory of orthogonal polynomials. (English. Russian original) Zbl 0485.33008 Sov. Math., Dokl. 22, 454-458 (1980); translation from Dokl. Akad. Nauk SSSR 254, 802-806 (1980). MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{E. A. Rakhmanov}, Sov. Math., Dokl. 22, 454--458 (1980; Zbl 0485.33008); translation from Dokl. Akad. Nauk SSSR 254, 802--806 (1980)
Braverman, M. Sh.; Semenov, E. M. Characteristic properties of \(L_ p-\)spaces. (English. Russian original) Zbl 0475.46012 Sov. Math., Dokl. 22, 666-669 (1980); translation from Dokl. Akad. Nauk SSSR 255, 270-272 (1980). MSC: 46B20 46B42 46E30 42C10 46B15 PDFBibTeX XMLCite \textit{M. Sh. Braverman} and \textit{E. M. Semenov}, Sov. Math., Dokl. 22, 666--669 (1980; Zbl 0475.46012); translation from Dokl. Akad. Nauk SSSR 255, 270--272 (1980)
Kashin, B. S. Properties of random matrices connected with unconditional convergence almost everywhere. (English. Russian original) Zbl 0469.15010 Sov. Math., Dokl. 22, 584-587 (1980); translation from Dokl. Akad. Nauk SSSR 254, 1322-1325 (1980). MSC: 15B52 42C10 PDFBibTeX XMLCite \textit{B. S. Kashin}, Sov. Math., Dokl. 22, 584--587 (1980; Zbl 0469.15010); translation from Dokl. Akad. Nauk SSSR 254, 1322--1325 (1980)
Gulichev, N. V. On estimates of the norms of Fourier-Walsh sums. (English. Russian original) Zbl 0439.42017 Sov. Math., Dokl. 20, 935-937 (1979); translation from Dokl. Akad. Nauk SSSR 248, 22-24 (1979). MSC: 42C10 PDFBibTeX XMLCite \textit{N. V. Gulichev}, Sov. Math., Dokl. 20, 935--937 (1979; Zbl 0439.42017); translation from Dokl. Akad. Nauk SSSR 248, 22--24 (1979)
Sobolev, S. L. On extreme roots of Euler polynomials. (English. Russian original) Zbl 0421.65005 Sov. Math., Dokl. 19, 1253-1257 (1978); translation from Dokl. Akad. Nauk SSSR 242, 1016-1019 (1978). MSC: 65D20 33C45 26C10 PDFBibTeX XMLCite \textit{S. L. Sobolev}, Sov. Math., Dokl. 19, 1253--1257 (1978; Zbl 0421.65005); translation from Dokl. Akad. Nauk SSSR 242, 1016--1019 (1978)
Bockarev, S. V. On a majorant of the partial sums for a rearranged Walsh system. (English. Russian original) Zbl 0394.42006 Sov. Math., Dokl. 19, 341-342 (1978); translation from Dokl. Akad. Nauk SSSR 239, 509-510 (1978). MSC: 42C10 PDFBibTeX XMLCite \textit{S. V. Bockarev}, Sov. Math., Dokl. 19, 341--342 (1978; Zbl 0394.42006); translation from Dokl. Akad. Nauk SSSR 239, 509--510 (1978)
Geronimus, Ja. L. On some estimates of orthogonal polynomials and on Steklov’s problem. (English. Russian original) Zbl 0409.33010 Sov. Math., Dokl. 18(1977), 1176-1179 (1978); translation from Dokl. Akad. Nauk SSSR 236, 14-17 (1977). MSC: 33C45 42C05 30B70 PDFBibTeX XMLCite \textit{Ja. L. Geronimus}, Sov. Math., Dokl. 18, 1176--1179 (1977; Zbl 0409.33010); translation from Dokl. Akad. Nauk SSSR 236, 14--17 (1977)
Ul’yanov, P. L. On Weyl multipliers for unconditional convergence of orthogonal series. (English. Russian original) Zbl 0383.42008 Sov. Math., Dokl. 18(1977), 1110-1113 (1978); translation from Dokl. Akad. Nauk SSSR 235, 1038-1041 (1977). MSC: 42C05 42C10 PDFBibTeX XMLCite \textit{P. L. Ul'yanov}, Sov. Math., Dokl. 18, 1110--1113 (1977; Zbl 0383.42008); translation from Dokl. Akad. Nauk SSSR 235, 1038--1041 (1977)
Heladze, S. V. On the convergence of Fourier series almost everywhere and in L. (English. Russian original) Zbl 0373.47005 Sov. Math., Dokl. 18, 106-108 (1977); translation from Dokl. Akad. Nauk SSSR 232, 535-537 (1977). MSC: 47A20 42A50 42C10 PDFBibTeX XMLCite \textit{S. V. Heladze}, Sov. Math., Dokl. 18, 106--108 (1977; Zbl 0373.47005); translation from Dokl. Akad. Nauk SSSR 232, 535--537 (1977)
Geronimus, Ya. L. On a problem of S. N. Bernstein. (English. Russian original) Zbl 0351.42020 Sov. Math., Dokl. 17(1976), 1051-1054 (1977); translation from Dokl. Akad. Nauk SSSR 229, 538-541 (1976). MSC: 42C05 PDFBibTeX XMLCite \textit{Ya. L. Geronimus}, Sov. Math., Dokl. 17, 1051--1054 (1976; Zbl 0351.42020); translation from Dokl. Akad. Nauk SSSR 229, 538--541 (1976)
Krotov, V. G.; Osval’d, P.; Storozhenko, Eh. A. Direct and inverse theorems of Jackson type in \(L^p\) spaces \((0<p<1)\). (English. Russian original) Zbl 0339.41014 Sov. Math., Dokl. 17, 39-42 (1976); translation from Dokl. Akad. Nauk SSSR 226, 44-47 (1976). MSC: 41A50 41A10 42A10 41A25 26A16 42C10 PDFBibTeX XMLCite \textit{V. G. Krotov} et al., Sov. Math., Dokl. 17, 39--42 (1976; Zbl 0339.41014); translation from Dokl. Akad. Nauk SSSR 226, 44--47 (1976)
Bartoshevich, M. A. On a class of Watson transforms. (English. Russian original) Zbl 0339.44001 Sov. Math., Dokl. 16, 129-133 (1975); translation from Dokl. Akad. Nauk SSSR 220, 761-764 (1975). MSC: 44A15 47Gxx 33C45 42C15 PDFBibTeX XMLCite \textit{M. A. Bartoshevich}, Sov. Math., Dokl. 16, 129--133 (1975; Zbl 0339.44001); translation from Dokl. Akad. Nauk SSSR 220, 761--764 (1975)
Bockarev, S. V. A Fourier series in an arbitrary bounded orthonormal system that diverges on a set of positive measure. (English. Russian original) Zbl 0335.42011 Sov. Math., Dokl. 16(1975), 1441-1442 (1976); translation from Dokl. Akad. Nauk SSSR 225, 35-36 (1975). MSC: 42C10 42C05 PDFBibTeX XMLCite \textit{S. V. Bockarev}, Sov. Math., Dokl. 16, 1441--1442 (1975; Zbl 0335.42011); translation from Dokl. Akad. Nauk SSSR 225, 35--36 (1975)
Kal’nei, S. G. Uniform boundedness in the L-metric of polynomials with respect to the Jacobi polynomials. (English. Russian original) Zbl 0329.40004 Sov. Math., Dokl. 16, 714-718 (1975); translation from Dokl. Akad. Nauk SSSR 222, 1024-1027 (1975). MSC: 40C05 42C05 33C45 40G05 PDFBibTeX XMLCite \textit{S. G. Kal'nei}, Sov. Math., Dokl. 16, 714--718 (1975; Zbl 0329.40004); translation from Dokl. Akad. Nauk SSSR 222, 1024--1027 (1975)
Zobin, N. M. Extension and representation theorems for spaces of Gevrey type. (English. Russian original) Zbl 0329.26019 Sov. Math., Dokl. 14, 1571-1575 (1973); translation from Dokl. Akad. Nauk SSSR 212, 1280-1283 (1973); Brief an die Redaktion. Dokl. Akad. Nauk SSSR 216 (1974). MSC: 26E10 33C45 46A45 42A82 44A60 PDFBibTeX XMLCite \textit{N. M. Zobin}, Sov. Math., Dokl. 14, 1571--1575 (1974; Zbl 0329.26019); translation from Dokl. Akad. Nauk SSSR 212, 1280--1283 (1973); Brief an die Redaktion. Dokl. Akad. Nauk SSSR 216 (1973)
Privalov, A. A. On the divergence of Lagrange interpolation processes on sets of positive measure. (English. Russian original) Zbl 0317.41002 Sov. Math., Dokl. 15, 1374-1376 (1974); translation from Dokl. Akad. Nauk SSSR 218, 519-520 (1974). MSC: 41A05 33C45 PDFBibTeX XMLCite \textit{A. A. Privalov}, Sov. Math., Dokl. 15, 1374--1376 (1974; Zbl 0317.41002); translation from Dokl. Akad. Nauk SSSR 218, 519--520 (1974)
Efimov, A. V.; Karakulin, A. F. A continuous analog of periodic multiplicative orthonormal systems. (English. Russian original) Zbl 0316.42009 Sov. Math., Dokl. 15, 1307-1310 (1974); translation from Dokl. Akad. Nauk SSSR 218, 268-271 (1974). MSC: 42C10 33C45 33-04 42C05 42A38 PDFBibTeX XMLCite \textit{A. V. Efimov} and \textit{A. F. Karakulin}, Sov. Math., Dokl. 15, 1307--1310 (1974; Zbl 0316.42009); translation from Dokl. Akad. Nauk SSSR 218, 268--271 (1974)
Krotov, V. G. Representation of measurable functions by series in the Faber-Schauder system and universal series. (English. Russian original) Zbl 0303.42014 Sov. Math., Dokl. 15, 351-355 (1974); translation from Dokl. Akad. Nauk SSSR 214, 1258-1261 (1974). MSC: 42C10 42C05 42A20 46B15 PDFBibTeX XMLCite \textit{V. G. Krotov}, Sov. Math., Dokl. 15, 351--355 (1974; Zbl 0303.42014); translation from Dokl. Akad. Nauk SSSR 214, 1258--1261 (1974)
Tsygankov, A. A. Simultaneous orthogonality of polynomials on a contour and over the area of a region. (English. Russian original) Zbl 0298.42008 Sov. Math., Dokl. 15, 758-761 (1974); translation from Dokl. Akad. Nauk SSSR 216, 46-48 (1974). MSC: 42C05 PDFBibTeX XMLCite \textit{A. A. Tsygankov}, Sov. Math., Dokl. 15, 758--761 (1974; Zbl 0298.42008); translation from Dokl. Akad. Nauk SSSR 216, 46--48 (1974)
Oguztöreli, M. N.; Mangeron, D. J. Orthogonal Cebysev polynomials on multidimensional grids of equidistant points. (English. Russian original) Zbl 0307.35031 Sov. Math., Dokl. 14, 122-126 (1973); translation from Dokl. Akad. Nauk SSSR 208, 533-536 (1973). MSC: 35G30 33C45 PDFBibTeX XMLCite \textit{M. N. Oguztöreli} and \textit{D. J. Mangeron}, Sov. Math., Dokl. 14, 122--126 (1973; Zbl 0307.35031); translation from Dokl. Akad. Nauk SSSR 208, 533--536 (1973)
Krein, M. G.; Nudel’man, P. Ja. On some new problems for Hardy class functions and continuous families of functions with double orthogonality. (English. Russian original) Zbl 0294.30027 Sov. Math., Dokl. 14, 435-439 (1973); translation from Dokl. Akad. Nauk SSSR 209, 537-540 (1973). MSC: 30D55 46E30 46J15 42A38 42C05 PDFBibTeX XMLCite \textit{M. G. Krein} and \textit{P. Ja. Nudel'man}, Sov. Math., Dokl. 14, 435--439 (1973; Zbl 0294.30027); translation from Dokl. Akad. Nauk SSSR 209, 537--540 (1973)
Vajnerman, Yu. R. Deviation of the Lagrange-Jacobi interpolation process on classes of continuous functions. (English. Russian original) Zbl 0293.41003 Sov. Math., Dokl. 14, 1716-1719 (1973); translation from Dokl. Akad. Nauk SSSR 213, 509-511 (1973). MSC: 41A05 33C45 41A10 PDFBibTeX XMLCite \textit{Yu. R. Vajnerman}, Sov. Math., Dokl. 14, 1716--1719 (1973; Zbl 0293.41003); translation from Dokl. Akad. Nauk SSSR 213, 509--511 (1973)
Nevai, G. P. Some properties of polynomials orthonormal with weight \((1+k^{2k})^\alpha e^{-x^{2k}}\), and their applications in approximation theory. (English. Russian original) Zbl 0288.42008 Sov. Math., Dokl. 14, 1116-1119 (1973); translation from Dokl. Akad. Nauk SSSR 211, 784-786 (1973). MSC: 42C05 41A10 PDFBibTeX XMLCite \textit{G. P. Nevai}, Sov. Math., Dokl. 14, 1116--1119 (1973; Zbl 0288.42008); translation from Dokl. Akad. Nauk SSSR 211, 784--786 (1973)
Tomin, N. G. Application of linear operator interpolation to questions of convergence of series of Fourier coefficients with respect to classical orthogonal polynomials. (English. Russian original) Zbl 0288.42004 Sov. Math., Dokl. 14, 1552-1557 (1973); translation from Dokl. Akad. Nauk SSSR 212, 1074-1077 (1973). MSC: 42A20 42A16 41A05 42C10 46E35 PDFBibTeX XMLCite \textit{N. G. Tomin}, Sov. Math., Dokl. 14, 1552--1557 (1973; Zbl 0288.42004); translation from Dokl. Akad. Nauk SSSR 212, 1074--1077 (1973)
Chanturiya, Z. A. On orthogonal polynomial bases. (English. Russian original) Zbl 0287.42019 Sov. Math., Dokl. 14, 185-186 (1973); translation from Dokl. Akad. Nauk SSSR 208, 785-786 (1973). MSC: 42A65 42C05 PDFBibTeX XMLCite \textit{Z. A. Chanturiya}, Sov. Math., Dokl. 14, 185--186 (1973; Zbl 0287.42019); translation from Dokl. Akad. Nauk SSSR 208, 785--786 (1973)
Zalyapin, V. I.; Lyusternik, L. A. On a system of functions for a Poisson walk. (English. Russian original) Zbl 0281.60073 Sov. Math., Dokl. 13, 1450-1454 (1972); translation from Dokl. Akad. Nauk SSSR 207, 29-32 (1972). MSC: 60G50 33C45 PDFBibTeX XMLCite \textit{V. I. Zalyapin} and \textit{L. A. Lyusternik}, Sov. Math., Dokl. 13, 1450--1454 (1972; Zbl 0281.60073); translation from Dokl. Akad. Nauk SSSR 207, 29--32 (1972)
Motornyi, V. P. On mean convergence of Fourier series in Legendre polynomials. (English. Russian original) Zbl 0268.42011 Sov. Math., Dokl. 13, 748-750 (1972); translation from Dokl. Akad. Nauk SSSR 204, 788-790 (1972). MSC: 42C10 42A20 PDFBibTeX XMLCite \textit{V. P. Motornyi}, Sov. Math., Dokl. 13, 748--750 (1972; Zbl 0268.42011); translation from Dokl. Akad. Nauk SSSR 204, 788--790 (1972)
Oguztöreli, M. N.; Mangeron, D. J. Systems of polynomials in several variables. Particular solutions of a class of linear selfadjoint polywave equations. (English. Russian original) Zbl 0264.35016 Sov. Math., Dokl. 13, 1238-1241 (1972); translation from Dokl. Akad. Nauk SSSR 206, 532-534 (1972). MSC: 35G15 33C50 35L20 41A15 PDFBibTeX XMLCite \textit{M. N. Oguztöreli} and \textit{D. J. Mangeron}, Sov. Math., Dokl. 13, 1238--1241 (1972; Zbl 0264.35016); translation from Dokl. Akad. Nauk SSSR 206, 532--534 (1972)
Dzhafarov, Arif S. On spherical analogs of the classical theorems of Jackson and Bernstein. (English. Russian original) Zbl 0262.42040 Sov. Math., Dokl. 13, 373-377 (1972); translation from Dokl. Akad. Nauk SSSR 203, 278-281 (1972). MSC: 42C10 42B05 41A25 PDFBibTeX XMLCite \textit{A. S. Dzhafarov}, Sov. Math., Dokl. 13, 373--377 (1972; Zbl 0262.42040); translation from Dokl. Akad. Nauk SSSR 203, 278--281 (1972)
Timan, M. F.; Gaimnazarov, G. Best approximations and absolute convergence of Fourier-Haar series. (English. Russian original) Zbl 0268.42026 Sov. Math., Dokl. 12, 986-988 (1971); translation from Dokl. Akad. Nauk SSSR 198, 1280-1282 (1971). MSC: 42B05 42C10 PDFBibTeX XMLCite \textit{M. F. Timan} and \textit{G. Gaimnazarov}, Sov. Math., Dokl. 12, 986--988 (1971; Zbl 0268.42026); translation from Dokl. Akad. Nauk SSSR 198, 1280--1282 (1971)
Tsygankov, A. A. Harmonic polynomials orthogonal on a plane curve. (English. Russian original) Zbl 0241.31002 Sov. Math., Dokl. 12, 574-577 (1971); translation from Dokl. Akad. Nauk SSSR 197, 794-797 (1971). MSC: 31A05 30C10 42C05 PDFBibTeX XMLCite \textit{A. A. Tsygankov}, Sov. Math., Dokl. 12, 574--577 (1971; Zbl 0241.31002); translation from Dokl. Akad. Nauk SSSR 197, 794--797 (1971)
Ugulava, D. K. Generalized normal mean values of Fourier-Laplace series. (English. Russian original) Zbl 0237.42012 Sov. Math., Dokl. 12, 1134-1137 (1971); translation from Dokl. Akad. Nauk SSSR 199, 553-555 (1971). MSC: 42A38 42C10 PDFBibTeX XMLCite \textit{D. K. Ugulava}, Sov. Math., Dokl. 12, 1134--1137 (1971; Zbl 0237.42012); translation from Dokl. Akad. Nauk SSSR 199, 553--555 (1971)
Gerisch, W. A remark on the work of N. K. Bari on biorthogonal systems and bases in Hilbert space. (English. Russian original) Zbl 0235.42008 Sov. Math., Dokl. 12, 1517-1519 (1971); translation from Dokl. Akad. Nauk SSSR 200, 1018-1019 (1971). MSC: 42C05 PDFBibTeX XMLCite \textit{W. Gerisch}, Sov. Math., Dokl. 12, 1517--1519 (1971; Zbl 0235.42008); translation from Dokl. Akad. Nauk SSSR 200, 1018--1019 (1971)