Arthur A. Sahakyan
Biography
Education
1972 - 1977: Depart. of Mechanics and Mathematics of Yerevan State University
1978 - 1981: Post Graduate, Steclov Math. Inst.of USSR Academy of Sci. (Moscow)

Academic degree
candidate - “Superposition of functions and their Fourier series”, 1981, Steklov Math. Inst.of USSR Academy of Sci. (Moscow).
doctoral – “On some problems of orthogonal series and multivariate polynomial interpolation”, 1997, Yerevan State University

Professional experience
2008 – to date Dean of the Faculto of Mathematics and Mechanics, Yerevan State University
2004 - 2008 Head of the Department of Mathematical Analysis, Yerevan State University
2001 to date Leading Scientific Researcher, Institute of Mathematics of Armenian National Academy of Sciences
2001 - 2004 Scientific Secretary of the Institute of Mathematics of Armenian National Academy of Sciences
1987 - 2001 Senior Scientific Researcher, Institute of Mathematics of Armenian National Academy of Sciences
1981 - 1987 Junior Scientific Researcher, Institute of Mathematics of Armenian National Academy of Sciences

Academic courses
General Courses: Mathematical analysis, Real Analysis
Special Courses: Bases in Banach spaces, Orthogonal Series,Spline theory, Wavelets

Scale of professional interests
Orthogonal series, Fourier Analysis,Wavelets, Approxiamation Theory, Multivariate polynomial interpolation

Participation in grant projects
Grant of International Science Foundation (1993)
NFSAT-CRDF Research Grant (2002)

Languages
Armenian, Russian, English

Professional membership
Member of the professional council 050 in YSU
Editor-in-Chief of the “Journal of Contemporary Mathematical Analysis” (Armenian National Academy of Sciences)
Member of the Editorial Board of the “East Journal on Approximations”
Member of the Editorial Board of the Journal “Communications in Mathematics”

sart@ysu.am
(+374 10) 55-40-51

Arthur A. Sahakyan

Dean | Faculty of Mathematics and Mechanics
 
 

Book

Գ. Գ. Գևորգյան, Ա. Ա. Սահակյան

Հանրահաշիվ և մաթեմատիկական անալիզի տարրեր | 12-րդ դասարանի համար, «Էդիթ պրինտ», Երևան, 2011

Մ.Պ. Պողոսյան, Վ.Հ. Մարտիրոսյան, Գ.Վ. Միքայելյան, Ս.Գ. Ռաֆայելյան, Ա.Ա. Սահակյան, Ա.Ի. Պետրոսյան

Կուրսային և ավարտական աշխատանքների թեմաներ ֆունկցիաների տեսությունից | Ուսումնական ձեռնարկ, Երևան, ԵՊՀ, 2009, 163 էջ

Գ. Գ. Գևորգյան, Ա. Ա. Սահակյան

Հանրահաշիվ և մաթեմատիկական անալիզի տարրեր | 10-րդ դասարանի համար, «Էդիթ պրինտ», Երևան, 2009

Sahakian A. A., Ginovian M. S.

Limit Theorems for Toepltz Quadratic Functionals of Continuous-Time Stacionary Processes | Probability Theory and Related Fields, vol. 137, 2007, 551-579

G. Gevorkyan, A. Sahakyan

Algebra and Calculus | 10-th class, Edit Print, Yerevan, 2001 (in Armenian)

G. Gevorkyan, A. Sahakyan

Algebra and Calculus | 9-th class, Edit Print, Yerevan, 2001 (in Armenian)

Bojanov B. D., Hakopian H. A., Sahakian A. A.

Spline Functions and Multivariate Interpolations | "Kluwer Academic Publishers", 1993, 278 pages

A.A. Sahakian, B.S. Kashin

Orthogonal Series | AMS, Providence, 1989
 

Article

A. A. Sahakyan, M. S. Ginovyan

Estimation of spectral functionals for Levy-driven continuous-time linear models with tapered data | Electronic Journal of Statistics. 2019, V 13, N 1, pp. 255-283 |

A. A. Sahakyan, M. S. Ginovyan

Limit Theorems for Tapered Toeplitz Quadratic Functionals of Continuous-time Gaussian Stationary Processes | Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 2019, volo 54, No 4, pp. 222-239

Sahakian A. A., Ginovyan M. S.

On the robustness to small trends of parameter estimation for continuous-time stationary models with memory | Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 2016, 51, 5, pp. 232-241

Artur A. Sahakyan, Mamikon Ginovian

Robust estimation for continuous time linear models with memory | Theory of Probability and Mathematical Statistics, 2016, 95, pp. 75-91 |

Ginovian M., Sahakian A.

On the trace approximations of products of Toeplitz matrices | Statistics and Probability Letters, 83 (2013), 753-760 |

Goginava U., Sahakian A.

On the convergence of multiple Walsh-Fourier serises of functions of bounded generalized variation | Journal of Contemporary Mathematical Analysis, v. 47 (2012) N 5, 221-233 |

Goginava U., Sahakian A.

Convergence of double Fourier series and generalized -variation | Goergian Math. Journal, v. 15 (2012), N 3, 497-510

Гиновян М. С., Саакян А. А.

Аппроксимации следов произведения усеченных Теплицевых операторов. | Теория вероятностей и ее применения, т. 56 (2011), вып. 1, 23-139

Goginava U., Sahakian A.

On the convergence of Cesaro means of negative order of double trigonometric Fourier series of functions of bounded partial generalized variation | Acta Sci. Math. v. 77 (2011), 451-471 |

Goginava U., Sahakian A.

On the convergence of double Fourier serises of functions of bounded partial generalized variation | East Journal on Approximations, v. 16 (2010), N. 2, 153-165. |

Саакян А.А, Гиновян М. С

Замечание об аппролксимации следов произведения усеченных Теплицевых матриц | Изв. НАН Армении, сер. мат., т. 44 (2009), 4, 77-86

Гиновян М. С., Саакян А. А.

Аппроксимации следов произведения усеченных Теплицевых операторов | Теория вероятностей и ее применения, т. 56 (2011), вып. 1, 23-139

Саакян А.А., Гиновян М. С,

О центральной предельной теореме для квадратичных форм от стационарных пос¬ледовательностей | Теория вероятностей и ее применения, т. 49 (2004), вып. 4, 2-19

Саакян А.А., Гиновян М. С.

О центральной предельной теореме для теплицевых квадратичных фунционалов стационарных последoвательностей | Изв. АН Арм. ССР, сер. мат., т. 38 (2004), 1, 49-73

A. A. Sahakian

Convergence of double Fourier series after change of variable | Mat. Zametki,74(2003),2,267--277 (in Russian). English translation in: Mat. Notes,74(2003),2

A.A. Sahakian

Convergence of Greede Algorithm for continuous functions after change of variable | Izvestia NAN Armenii, 37 (2002), 4, 63--72 (in Russian). English translation in: Journal of Contemporary Math. Analysis, 37 (2002), 4, 67-75

G. G. Gevorgyan, A. A. Sahakyan

Unconditional basis properties of general Franklin series | Izvestija Akad. Nauk Arm. SSR, ser Mat, (in Russian), 35(2000), no. 4, 7-25, English translation in J. Contemp. Math. Anal., 35(2000), no. 4, 2-22

Саакян А.А., Геворкян Г. Г.

О безусловной базисности общих систем Франклина | Известия НАН Армении, 35 (2000), 4, 7-25

Кашин Б. С., Саакян А. А.

Ортогональные ряды | Москва, Наука, 1984, 450 стр., Москва, АФЦ 1999, 550 стр

Саакян А. А.

О теореме Бора для кратных рядов Фурье | Мат. Заметки, 64 (1998), 6, 913-924