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Yudin Vladimir Alexandrovich
(1947–2012)

Statistics Math-Net.Ru
Total publications: 55
Scientific articles: 55
Citations to the author: 119
Cited articles: 31

Number of views:
This page:1255
Abstract pages:7928
Full texts:2802
References:387
Professor
Doctor of physico-mathematical sciences (1991)
Speciality: 01.01.04 (Geometry and topology)
Birth date: 1.01.1947
Keywords: theory of function, Fourier analysis, discrete mathematics.

Subject

The extremale problem theory of function, coding theory, discrete geometry. Fourier analysis.

Biography

Graduated from Faculty of Mathematics and Mechanics of N. G. Chernyshevsky Saratov State University (SSU) in 1969. Ph.D. thesis was defended in 1975. D.Sci. thesis was defended in 1991. A list of works contains more than 40 titles.

   
Main publications:
  1. N. N. Andreev, V. A. Yudin, “Polynomials of Least Deviation from Zero and Chebyshev-Type Cubature Formulas”, Proc. Steklov Inst. Math., 232 (2001), 39–51  mathnet  mathscinet  zmath
  2. V. A. Yudin, “Lower bounds for spherical designs”, Izv. Math., 61:3 (1997), 673–683  mathnet  crossref  crossref  mathscinet  zmath  isi

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List of publications on Google Scholar
http://zbmath.org/authors/?q=ai:yudin.vladimir-a
http://www.ams.org/mathscinet/search/author.html?return=viewitems&mrauthid=202155

Full list of publications:
1. В. А. Юдин, “Наименее уклоняющиеся от нуля многочлены”, Ортогональные ряды, теория приближений и смежные вопросы, Сборник статей. К 60-летию со дня рождения академика Бориса Сергеевича Кашина, Тр. МИАН, 280, МАИК, М., 2013, 300–303  mathnet  crossref; E. Bannai, Ts. Miezaki, V. A. Yudin, “An elementary approach to toy models for D. H. Lehmer's conjecture”, Izv. Math., 75:6 (2011), 1093–1106  crossref  crossref  mathscinet  isi  isi
2. A. G. Babenko, Yu. V. Kryakin, V. A. Yudin, “One-sided approximation in $L$ of the characteristic function of an interval by trigonometric polynomials”, Tr. IMM UrO RAN, 18, no. 1, 2012, 82–95  mathnet; A. G. Babenko, Yu. V. Kryakin, V. A. Yudin, “One-sided approximation in $L$ of the characteristic function of an interval by trigonometric polynomials”, Proc. Inst. Math. Mech., 280, suppl. 1 (2013), 39–52  crossref  isi
3. E. Bannai, Ts. Miezaki, V. A. Yudin, “An elementary approach to toy models for D. H. Lehmer's conjecture”, Izv. Math., 75:6 (2011), 1093–1106  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
4. V. V. Arestov, V. I. Berdyshev, N. I. Chernykh, T. V. Demina, N. N. Kholschevnikova, S. V. Konyagin, Yu. N. Subbotin, S. A. Telyakovskii, I. G. Tsar'kov, V. A. Yudin, “Exposition of the lectures by S. B. Stechkin on approximation theory”, Eurasian Math. J., 2:4 (2011), 5–155  mathnet
5. V. A. Yudin, “On Polynomials of Least Deviation from Zero”, Math. Notes, 87:5 (2010), 779–783  mathnet  crossref  crossref  mathscinet  isi
6. V. A. Yudin, “On Bohrs inequality”, Tr. IMM UrO RAN, 16, no. 4, 2010, 312–313  mathnet; V. A. Yudin, “On Bohrs inequality”, Proc. Inst. Math. Mech., 273, suppl. 1 (2011), 188–189  crossref  isi
7. A. G. Babenko, Yu. V. Kryakin, V. A. Yudin, “On one of Geronimus's results”, Tr. IMM UrO RAN, 16, no. 4, 2010, 54–64  mathnet; A. G. Babenko, Yu. V. Kryakin, V. A. Yudin, “On one of Geronimus's results”, Proc. Inst. Math. Mech., 273, suppl. 1 (2011), 37–48  crossref  isi
8. V. A. Yudin, “Invariants and Chebyshev polynomials”, Proc. Inst. Math. Mech., 265, suppl. 1 (2009), 227–245  mathnet  crossref  isi
9. V. A. Yudin, “Best approximation to monomials on a cube”, Sb. Math., 199:8 (2008), 1251–1262  mathnet  crossref  crossref  mathscinet  isi
10. V. A. Yudin, “On Polynomials of Best Approximation”, Math. Notes, 82:4 (2007), 564–568  mathnet  crossref  crossref  mathscinet  zmath  isi
11. V. A. Yudin, “Distribution of the points of a design on the sphere”, Izv. Math., 69:5 (2005), 1061–1079  mathnet  crossref  crossref  mathscinet  zmath  isi
12. V. A. Yudin, Mat. Pros., 9, MCCME, Moscow, 2005, 183–188  mathnet
13. V. A. Yudin, “Polynomials of Least Deviation from Zero”, Math. Notes, 78:2 (2005), 279–284  mathnet  crossref  crossref  mathscinet  zmath  isi
14. V. A. Yudin, “Placement of points on a torus and in a plane”, Proc. Inst. Math. Mech., 2005, suppl. 2, S211–S216  mathnet  mathscinet  zmath
15. V. A. Yudin, “On Positive Values of Spherical Harmonics and Trigonometric Polynomials”, Math. Notes, 75:3 (2004), 447–450  mathnet  crossref  crossref  mathscinet  zmath  isi
16. N. N. Andreev, V. A. Yudin, “Positive Values of Harmonic Polynomials”, Proc. Steklov Inst. Math., 243 (2003), 39–45  mathnet  mathscinet  zmath
17. V. A. Yudin, “Positive Values of Polynomials”, Math. Notes, 72:3 (2002), 440–443  mathnet  crossref  crossref  mathscinet  zmath  isi
18. V. A. Yudin, “The Number of Lattice Points in a Spherical Layer”, Proc. Steklov Inst. Math., 239 (2002), 315–319  mathnet  mathscinet  zmath
19. V. A. Yudin, “Multidimensional Versions of Paley's Inequality”, Math. Notes, 70:6 (2001), 860–865  mathnet  crossref  crossref  mathscinet  zmath  isi
20. V. A. Yudin, “Integral Norms of Trigonometric Polynomials”, Math. Notes, 70:2 (2001), 275–282  mathnet  crossref  crossref  mathscinet  zmath  isi
21. N. N. Andreev, V. A. Yudin, “Polynomials of Least Deviation from Zero and Chebyshev-Type Cubature Formulas”, Proc. Steklov Inst. Math., 232 (2001), 39–51  mathnet  mathscinet  zmath
22. N. N. Andreev, V. A. Yudin, “Best approximation of polynomials on the sphere and on the ball”, Recent progress in multivariate approximation (Witten-Bommerholz, 2000), Internat. Ser. Numer. Math., 137, Birkhäuser, Basel, 2001, 23–30  crossref  mathscinet  zmath
23. V. A. Yudin, “Rotations of Spherical Designs”, Problems Inform. Transmission, 36:3 (2000), 230–236  mathnet  mathscinet  zmath
24. V. A. Yudin, “On Variations of Designs”, Problems Inform. Transmission, 35:4 (1999), 346–350  mathnet  mathscinet  zmath
25. N. N. Andreev, S. A. Telyakovskii, V. A. Yudin, “Priblizhenie individualnykh funktsii – ot Chebysheva do nashikh dnei”, Rossiiskaya nauka: den nyneshnii i den gryaduschii, Sbornik nauchno-populyarnykh statei, Academia, M., 1999, 12–20
26. N. N. Andreev, V. A. Yudin, “Problems of approximation theory in discrete geometry”, Advances in multivariate approximation (Witten-Bommerholz, 1998), Math. Res., 107, Wiley-VCH, Berlin, 1999, 19–32  mathscinet  zmath
27. N. N. Andreev, V. A. Yudin, Mat. Pros., 2, MCCME, Moscow, 1998, 133–140  mathnet
28. V. A. Yudin, “An extremum problem for distribution functions”, Math. Notes, 63:2 (1998), 279–282  mathnet  crossref  crossref  mathscinet  zmath  isi
29. V. A. Yudin, “Code and design”, Discrete Math. Appl., 7:2 (1997), 147–155  mathnet  crossref  mathscinet  zmath
30. V. A. Yudin, “Lower bounds for spherical designs”, Izv. Math., 61:3 (1997), 673–683  mathnet  crossref  crossref  mathscinet  zmath  isi
31. N. N. Andreev, V. A. Yudin, Mat. Pros., 1, MCCME, Moscow, 1997, 115–125  mathnet
32. V. A. Yudin, “Extremality properties of functions and designs on the torus”, Math. Notes, 61:4 (1997), 530–533  mathnet  crossref  crossref  mathscinet  zmath  isi
33. V. A. Yudin, “Disposition of Points on a Torus and Extremal Properties of Polynomials”, Proc. Steklov Inst. Math., 219 (1997), 447–457  mathnet  mathscinet  zmath
34. V. A. Yudin, “On trigonometric series with positive partial sums”, Proc. Steklov Inst. Math., 218 (1997), 444–447  mathnet  mathscinet  zmath
35. N. N. Andreev, S. V. Konyagin, S. B. Stechkin, V. A. Yudin, “Konstruktivnaya teoriya funktsii i ekstremalnye zadachi”, Rossiiskaya nauka. Vystoyat i vozroditsya, Nauka, Fizmatlit, M., 1997, 18–23
36. V. A. Yudin, “Two external problems for trigonometric polynomials”, Sb. Math., 187:11 (1996), 1721–1736  mathnet  crossref  crossref  mathscinet  zmath  isi
37. V. A. Yudin, “Coverings of a sphere, and extremal properties of orthogonal polynomials”, Discrete Math. Appl., 5:4 (1995), 371–379  mathnet  mathscinet  zmath
38. A. V. Kolushov, V. A. Yudin, “On the Korkin–Zolotarev construction”, Discrete Math. Appl., 4:2 (1994), 143–146  mathnet  mathscinet  zmath
39. V. A. Yudin, “Trigonometric series with positive partial sums”, Math. Notes, 53:3 (1993), 348–350  mathnet  crossref  mathscinet  zmath  isi
40. V. A. Yudin, “Minimum potential energy of a point system of charges”, Diskret. matem., 4:2 (1992), 115–121  mathnet  mathscinet  zmath; V. A. Yudin, “Minimum potential energy of a point system of charges”, Discrete Math. Appl., 3:1 (1993), 75–81  mathscinet  zmath
41. A. A. Yudin, V. A. Yudin, “On Jackson's theorems in $L_2$”, Math. Notes, 48:4 (1990), 1071–1074  mathnet  crossref  mathscinet  zmath  isi
42. V. A. Yudin, “Riesz transforms and partial derivatives”, Matem. sb., 181:3 (1990), 416–422  mathnet  mathscinet  zmath  adsnasa; V. A. Yudin, “Riesz transforms and partial derivatives”, Math. USSR-Sb., 69:2 (1991), 445–451  crossref  mathscinet  zmath  isi
43. V. A. Yudin, “Packings of balls in Euclidean space, and extremal problems for trigonometric polynomials”, Diskret. matem., 1:2 (1989), 155–158  mathnet  mathscinet  zmath; V. A. Yudin, “Packings of balls in Euclidean space, and extremal problems for trigonometric polynomials”, Discrete Math. Appl., 1:1 (1991), 69–72  mathscinet  zmath
44. V. A. Yudin, “Spherical sums of Fourier series in $L_p$”, Math. Notes, 46:2 (1989), 675–680  mathnet  crossref  mathscinet  zmath  isi
45. V. A. Yudin, “Jackson's theorems in $L_2$”, Math. Notes, 41:1 (1987), 27–30  mathnet  crossref  mathscinet  zmath  isi
46. V. A. Yudin, “On the Fourier sums in $L_p$”, Teoriya funktsii i smezhnye voprosy analiza, Trudy konferentsii po teorii funktsii, posvyaschennoi 80-letiyu akademika Sergeya Mikhailovicha NIKOLSKOGO (Dnepropetrovsk, 29 maya–1 iyunya 1985 g.), Tr. MIAN SSSR, 180, Nauka, M., 1987, 235–236  mathnet  zmath; V. A. Yudin, “On the Fourier sums in $L_p$”, Proc. Steklov Inst. Math., 180 (1989), 279–280  zmath
47. A. A. Yudin, V. A. Yudin, “Polygonal Dirichlet Kernels and growth of Lebesgue constants”, Math. Notes, 37:2 (1985), 124–135  mathnet  crossref  mathscinet  zmath  isi
48. V. A. Yudin, “Disposition of points on a sphere of a Banach space and modulus of continuity of a function”, Math. Notes, 35:1 (1984), 25–32  mathnet  crossref  mathscinet  zmath  isi
49. V. A. Yudin, “Multidimensional Jackson theorem in $L_2$”, Math. Notes, 29:2 (1981), 158–162  mathnet  crossref  mathscinet  zmath  isi
50. V. I. Ivanov, V. A. Yudin, “Trigonometric system in $L_p$, $0<p<1$”, Math. Notes, 28:6 (1980), 884–889  mathnet  crossref  mathscinet  zmath  isi
51. V. A. Yudin, “A lower bound for Lebesgue constants”, Math. Notes, 25:1 (1979), 63–65  mathnet  crossref  mathscinet  zmath  isi
52. A. A. Yudin, V. A. Yudin, “Discrete imbedding theorems and Lebesgue constants”, Math. Notes, 22:3 (1977), 702–711  mathnet  crossref  mathscinet  zmath
53. V. A. Yudin, “The multidimensional Jackson theorem”, Math. Notes, 20:3 (1976), 801–804  mathnet  crossref  mathscinet  zmath
54. V. A. Yudin, “Behavior of Lebesgue constants”, Math. Notes, 17:3 (1975), 233–235  mathnet  crossref  mathscinet  zmath
55. V. A. Yudin, “The approximation of functions of many variables by their Féjér sums”, Math. Notes, 13:6 (1973), 490–496  mathnet  crossref  mathscinet  zmath

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