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Sahakian, Artur Artushi

Statistics Math-Net.Ru
Total publications: 14
Scientific articles: 14
Presentations: 1

Number of views:
This page:3943
Abstract pages:6041
Full texts:3008
References:615
Professor
Doctor of physico-mathematical sciences (1981)
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date: 02.05.1956
E-mail:
Keywords: Fourier series, wavelet interpolation.
UDC: 517.5, 517.51, 517, 517.518
MSC: 42C, 43A

Subject:

Orthogonal series. Harmonic analysis. Approximation Theory.

   
Main publications:
  • Kashin B. S., Saakyan A. A., Ortogonalnye ryady, Moskva, AFTs, 1999.
  • Saakyan A. A., O svoistvakh koeffitsientov Fure superpozitsii funktsii, DAN SSSR, 248 (1979), 2, 302–306.
  • Caakyan A. A., Integralnye moduli gladkosti i koeffitsienty Fure u superpozitsii funktsii, Mat. sbornik, 110(152) (1979), 4, 597–608.
  • Saakyan A. A., O raskhodimosti ryadov Fure superpozitsii nepreryvnykh funktsii, Mat. zametki, 29 (1981), 6, 849–858.
  • Saakyan A. A., O skhodimosti dvoinykh ryadov Fure funktsii ogranichennoi garmonicheskoi variatsii, Izv. AN Arm. SSR, ser. mat., 21 (1986), 6, 517–529.
  • Saakyan A. A., Akopyan A. A., O sisteme differentsialnykh uravnenii svyazannykh s polinomialnym klassom sdvigov boks-splaina, Mat. zametki, 44 (1988), 705–724.
  • Saakyan A. A., O teoreme Bora dlya kratnykh trigonometricheskikh ryadov, Mat. zametki, 46 (1989), 2, 94–103.
  • Saakyan A. A., Akopyan A. A., Gevorgyan O. V., O dvumernoi polinomialnoi interpolyatsii, Mat. sbornik, 183 (1992), 6, 111–126.
  • Saakyan A. A., Akopyan A. A., Mnogomernye splainy i polinomialnaya interpolyatsiya, Uspekhi mat. nauk, 48 (1993), 5(293), 3–75.
  • Sahakian A. A., Lorentz R. A., Orthogonal Trigonometric Schauder Bases of optimal degree for C(0,2), Fourier Analisys and Applications, 1, (1994), No. 1, 103–112.
  • Sahakian A. A., Gevorgian O. V., Hakopian H. A., On the bivariate Hermite interpolation problem. Constructive Approximation, 11, (1995), 23–36.
  • Sahakian A. A., Gevorgian O. V., Hakopian H. A., Multivariate Hermite Interpolation, East Journal on Approximations, 1 (1995), 3, 357–371.
  • Sahakian A. A., Gevorgian O. V., Hakopian H. A., Bivariate Hermite interpolation and numerical curves. Journal of Approximation Theory, 85 (1995), 3, 297–317.
  • Sahakian A. A., Hakopian H. A., Multivariate polynomial interpolation to traces on manifolds, Journal of Approximation Theory, 80 (1995), 1, 50–75.
  • Sahakian A. A., Gevorgian O. V., Hakopian H. A., Numerical curves and their applications to algebraic curves, Studia Math., 121 (1996), 3, 249–275.
  • Saakyan A. A., Lorents R. A., O podprostranstvakh, porozhdennykh vsplesk sistemami, Mat. zametki, 63 (1998), 2, 299–302.
  • Lorentz R. A., Madych W. R. and Sahakian A. A., Translation and Dilation Invariant Subspaces of and Multiresolution Analyses, "Applied and Computational Harmonic Analysis", 1998.
  • Saakyan A. A., O teoreme Bora dlya kratnykh ryadov Fure, Mat. zametki, 64 (1998), 6, 913–924.
  • Saakyan A. A., Gevorkyan G. G. O bezuslovnoi bazisnosti obschikh sistem Franklina, Izvestiya NAN Armenii, 35 (2000), 4, 7–25.
  • O skhodimosti dvoinykh ryadov Fure posle zameny peremennoi, Mat. zametki, 74 (2003), 2, 267–277.
  • Ginovian M., Sahakian A., Limit theorems for Teoplitz functionals of continuous-time stationary processes, Probab. Theory Relat. Fields, 2007, v. 137, pp. 551–579.

https://www.mathnet.ru/eng/person18312
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/237099
https://www.researchgate.net/profile/Artur_Sahakian

Publications in Math-Net.Ru Citations
2013
1. U. Goginava, A. Sahakian, “Summability of multiple Fourier series for functions of bounded generalized variation”, Trudy Mat. Inst. Steklova, 280 (2013),  150–161  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 280 (2013), 144–155  isi  elib  scopus
2011
2. M. S. Ginovyan, A. A. Sahakyan, “Trace approximations of products of truncated Toeplitz operators”, Teor. Veroyatnost. i Primenen., 56:1 (2011),  123–139  mathnet  mathscinet  zmath  elib; Theory Probab. Appl., 56:1 (2012), 57–71  isi  scopus 6
2004
3. A. A. Sahakian, M. S. Ginovyan, “On the central limit theorem for Toeplitz quadratic forms of stationary sequences”, Teor. Veroyatnost. i Primenen., 49:4 (2004),  653–671  mathnet  mathscinet  zmath; Theory Probab. Appl., 49:4 (2005), 612–628  isi 17
2003
4. A. A. Sahakian, “Convergence of Double Fourier Series after a Change of Variable”, Mat. Zametki, 74:2 (2003),  267–277  mathnet  mathscinet  zmath; Math. Notes, 74:2 (2003), 255–265  isi  scopus
1998
5. A. A. Sahakian, “On Bohr's theorem for multiple Fourier series”, Mat. Zametki, 64:6 (1998),  913–924  mathnet  mathscinet  zmath; Math. Notes, 64:6 (1998), 787–797  isi 5
6. R. A. Lorentz, A. A. Sahakian, “Subspaces generated by wavelet systems”, Mat. Zametki, 63:2 (1998),  299–302  mathnet  mathscinet  zmath; Math. Notes, 63:2 (1998), 260–263  isi 3
1993
7. A. A. Akopian, A. A. Sahakian, “Multivariate splines and polynomial interpolation”, Uspekhi Mat. Nauk, 48:5(293) (1993),  3–76  mathnet  mathscinet  zmath; Russian Math. Surveys, 48:5 (1993), 1–72 4
1992
8. A. A. Akopian, O. V. Gevorgyan, A. A. Sahakian, “On two-dimensional polynomial interpolation”, Mat. Sb., 183:6 (1992),  111–126  mathnet  mathscinet  zmath; Russian Acad. Sci. Sb. Math., 76:1 (1993), 211–223  isi
1990
9. A. A. Akopian, O. V. Gevorgyan, A. A. Sahakian, “Two-dimensional Hermite interpolation”, Mat. Zametki, 48:6 (1990),  137–139  mathnet  mathscinet  zmath 2
1989
10. A. A. Sahakian, “A theorem of Bohr for multiple trigonometric series”, Mat. Zametki, 46:2 (1989),  94–103  mathnet  mathscinet  zmath; Math. Notes, 46:2 (1989), 639–646  isi 2
1988
11. A. A. Akopian, A. A. Sahakian, “A system of differential equations connected with a polynomial class of shifts of a box spline”, Mat. Zametki, 44:6 (1988),  705–724  mathnet  mathscinet  zmath; Math. Notes, 44:6 (1988), 865–878  isi 4
1981
12. A. A. Sahakian, “Divergence of the Fourier series of compositions of continuous functions”, Mat. Zametki, 29:6 (1981),  849–858  mathnet  mathscinet  zmath; Math. Notes, 29:6 (1981), 432–437  isi 1
1979
13. A. A. Sahakian, “On properties of Fourier coefficients of a composition of functions”, Dokl. Akad. Nauk SSSR, 248:2 (1979),  302–306  mathnet  zmath 3
14. A. A. Sahakian, “Integral moduli of smoothness and the Fourier coefficients of the composition of functions”, Mat. Sb. (N.S.), 110(152):4(12) (1979),  597–608  mathnet  mathscinet  zmath; Math. USSR-Sb., 38:4 (1981), 549–561  isi 4

Presentations in Math-Net.Ru
1. On multiple Fourier series of functions of bounded partial generalized variation
A. A. Sahakian
International conference "Nonlinear Approximations and Applications" dedicated to the 60th birthday of Professor V. N. Temlyakov
November 1, 2013 15:15   

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