Edit Profile Sahakyan, Artur A. Compute Distance To: Compute Author ID: sahakyan.artur-a Published as: Saakyan, A.; Saakyan, A. A.; Sahakian, A.; Sahakian, A. A.; Sahakian, Artur; Sahakian, Artur A.; Sahakyan, A. A.; Sahakyan, Artur A. Homepage: http://ysu.am/science/en/bkH2LxGPopJGSkSgTfduXFbzL0 External Links: MGP · Math-Net.Ru · Wikidata · ResearchGate Documents Indexed: 56 Publications since 1979, including 5 Books all top 5 Co-Authors 10 single-authored 12 Ginovyan, Mamikon S. 9 Goginava, Ushangi 7 Hakopian, Hakop A. 6 Akopyan, A. A. 5 Gevorgian, Hovik V. 3 Kashin, Boris Sergeevich 3 Lorentz, Rudolph Alexander 2 Gevorkyan, Gegham G. 2 Gevorkyan, O. V. 2 Mushegyan, G. M. 1 Arakelyan, N. U. 1 Boyanov, Borislav Dechev 1 Gevorgyan, O. V. 1 Madych, Wally R. 1 Nurbekyan, A. R. 1 Taqqu, Murad S. all top 5 Serials 11 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 6 Mathematical Notes 3 Soviet Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 2 Theory of Probability and its Applications 2 Journal of Approximation Theory 2 Izvestiya Akademii Nauk Armyanskoi SSR. Matematika 2 East Journal on Approximations 1 Analysis Mathematica 1 Matematicheskie Zametki 1 Russian Mathematical Surveys 1 Studia Mathematica 1 Ukrainian Mathematical Journal 1 Acta Scientiarum Mathematicarum 1 Akademiya Nauk Armyanskoĭ SSR. Doklady 1 Soviet Mathematics. Doklady 1 Statistics & Probability Letters 1 Probability Theory and Related Fields 1 Constructive Approximation 1 Mathematics of the USSR, Sbornik 1 Matematicheskiĭ Sbornik 1 Russian Academy of Sciences. Sbornik. Mathematics 1 Theory of Probability and Mathematical Statistics 1 Applied and Computational Harmonic Analysis 1 Georgian Mathematical Journal 1 The Journal of Fourier Analysis and Applications 1 Izvestiya Natsional’noĭ Akademii Nauk Armenii. Matematika 1 Bulletin of TICMI 1 Proceedings of the Steklov Institute of Mathematics 1 Translations of Mathematical Monographs 1 Electronic Journal of Statistics 1 Probability Surveys all top 5 Fields 29 Harmonic analysis on Euclidean spaces (42-XX) 15 Approximations and expansions (41-XX) 10 Probability theory and stochastic processes (60-XX) 6 Real functions (26-XX) 5 Statistics (62-XX) 3 Functional analysis (46-XX) 3 Operator theory (47-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Partial differential equations (35-XX) 2 Sequences, series, summability (40-XX) 2 Numerical analysis (65-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Functions of a complex variable (30-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 35 Publications have been cited 383 times in 339 Documents Cited by ▼ Year ▼ Orthogonal series. 2nd ed. Zbl 1188.42010Kashin, B. S.; Saakyan, A. A. 94 1999 Orthogonal series. Transl. from the Russian by Ralph P. Boas. Transl. ed. by Ben Silver. Zbl 0668.42011Kashin, B. S.; Saakyan, A. A. 67 1989 Spline functions and multivariate interpolations. Zbl 0772.41011Bojanov, Borislav D.; Hakopian, Hakop A.; Sahakian, Artur A. 56 1993 Orthogonal series. Zbl 0632.42017Kashin, B. S.; Saakyan, A. A. 55 1984 Limit theorems for Toeplitz quadratic functionals of continuous-time stationary processes. Zbl 1113.60027Ginovyan, M. S.; Sahakyan, A. A. 12 2007 On the central limit theorem for Toeplitz quadratic forms of stationary sequences. Zbl 1090.60021Ginovyan, M. S.; Saakyan, A. A. 9 2005 Translation and dilation invariant subspaces of \(L^2(\mathbb{R})\) and multiresolution analyses. Zbl 0926.42020Lorentz, R. A.; Madych, W. R.; Sahakian, A. 9 1998 On convergence of double Fourier series of functions of bounded harmonic variation. Zbl 0614.42009Saakyan, A. A. 8 1986 On the convergence of double Fourier series of functions of bounded partial generalized variation. Zbl 1321.42019Goginava, Ushangi; Sahakian, Artur 7 2010 Orthogonal trigonometric Schauder bases of optimal degree for \(C(K)\). Zbl 0839.42013Lorentz, R. A.; Sahakian, A. A. 7 1994 Convergence of double Fourier series and generalized \(\Lambda \)-variation. Zbl 1250.42032Goginava, Ushangi; Sahakian, Artur 5 2012 Unconditional basis property of generalized Franklin systems. Zbl 1022.42020Gevorkyan, G. G.; Sahakian, A. A. 5 2000 Multivariate splines and polynomial interpolation. Zbl 0813.41027Akopyan, A. A.; Saakyan, A. A. 5 1993 The trace problem for Toeplitz matrices and operators and its impact in probability. Zbl 1348.60054Ginovyan, Mamikon S.; Sahakyan, Artur A.; Taqqu, Murad S. 4 2014 On the bivariate Hermite interpolation problem. Zbl 0823.41004Gevorgian, H. V.; Hakopian, H. A.; Sahakian, A. A. 4 1995 A system of differential equations connected with a polynomial class of shifts of a box spline. Zbl 0711.35027Akopyan, A. A.; Saakyan, A. A. 4 1988 On the convergence of multiple Walsh-Fourier series of functions of bounded generalized variation. Zbl 1273.42029Goginava, U.; Sahakian, A. 3 2012 Trace approximations of products of truncated Toeplitz operators. Zbl 1242.60022Ginovyan, M. S.; Sahakyan, A. A. 3 2012 Bivariate Hermite interpolation and numerical curves. Zbl 0857.41001Gevorgian, Hovik V.; Hakopian, Hakop A.; Sahakian, Artur A. 3 1996 Convergence of two-dimensional trigonometric interpolation polynomials of functions of bounded harmonic variation. Zbl 1307.42007Nurbekyan, A. R.; Sahakyan, A. A. 2 2014 On the convergence of multiple Fourier series of functions of bounded partial generalized variation. Zbl 1299.42017Goginava, Ushangi; Sahakian, Artur 2 2013 On the trace approximations of products of Toeplitz matrices. Zbl 1355.60044Ginovyan, Mamikon S.; Sahakyan, Artur A. 2 2013 Subspaces generated by wavelet systems. Zbl 1055.42508Lorentz, R. A.; Saakyan, A. A. 2 1998 Multivariate Hermite interpolation. Zbl 0847.41002Gevorgian, Hovik V.; Hakopian, Hakop A.; Sahakian, Artur A. 2 1995 Multivariate polynomial interpolation to traces on manifolds. Zbl 0918.41004Hakopian, H. A.; Sahakian, A. A. 2 1995 On properties of Fourier coefficients of a composition of functions. Zbl 0506.42010Saakyan, A. A. 2 1979 Estimation of spectral functionals for Lévy-driven continuous-time linear models with tapered data. Zbl 07021705Ginovyan, Mamikon S.; Sahakyan, Artur A. 1 2019 Robust estimation for continuous-time linear models with memory. Zbl 1392.62283Ginovyan, Mamikon S.; Sahakyan, Artur A. 1 2017 On the convergence and summability of double Walsh-Fourier series of functions of bounded generalized variation. Zbl 1368.42026Goginava, U.; Sahakian, A. A. 1 2014 On the convergence of Cesàro means of negative order of double trigonometric Fourier series of functions of bounded partial generalized variation. Zbl 1289.42026Goginava, Ushangi; Sahakian, Artur 1 2011 Error bounds for approximations of traces of products of truncated Toeplitz operators. Zbl 1302.47042Ginovyan, M. S.; Saakyan, A. A. 1 2008 A class of systems of partial differential equations. Zbl 0695.35028Akopyan, A. A.; Saakyan, A. A. 1 1989 On the convergence of double Fourier series of functions with bounded harmonic variation. Zbl 0653.42012Saakyan, A. A. 1 1986 On functions of bounded \(\Lambda\)-variation. Zbl 0647.26008Saakyan, A. A. 1 1985 Integral moduli of smoothness and the Fourier coefficients of the composition of functions. Zbl 0542.42002Saakyan, A. A. 1 1981 Estimation of spectral functionals for Lévy-driven continuous-time linear models with tapered data. Zbl 07021705Ginovyan, Mamikon S.; Sahakyan, Artur A. 1 2019 Robust estimation for continuous-time linear models with memory. Zbl 1392.62283Ginovyan, Mamikon S.; Sahakyan, Artur A. 1 2017 The trace problem for Toeplitz matrices and operators and its impact in probability. Zbl 1348.60054Ginovyan, Mamikon S.; Sahakyan, Artur A.; Taqqu, Murad S. 4 2014 Convergence of two-dimensional trigonometric interpolation polynomials of functions of bounded harmonic variation. Zbl 1307.42007Nurbekyan, A. R.; Sahakyan, A. A. 2 2014 On the convergence and summability of double Walsh-Fourier series of functions of bounded generalized variation. Zbl 1368.42026Goginava, U.; Sahakian, A. A. 1 2014 On the convergence of multiple Fourier series of functions of bounded partial generalized variation. Zbl 1299.42017Goginava, Ushangi; Sahakian, Artur 2 2013 On the trace approximations of products of Toeplitz matrices. Zbl 1355.60044Ginovyan, Mamikon S.; Sahakyan, Artur A. 2 2013 Convergence of double Fourier series and generalized \(\Lambda \)-variation. Zbl 1250.42032Goginava, Ushangi; Sahakian, Artur 5 2012 On the convergence of multiple Walsh-Fourier series of functions of bounded generalized variation. Zbl 1273.42029Goginava, U.; Sahakian, A. 3 2012 Trace approximations of products of truncated Toeplitz operators. Zbl 1242.60022Ginovyan, M. S.; Sahakyan, A. A. 3 2012 On the convergence of Cesàro means of negative order of double trigonometric Fourier series of functions of bounded partial generalized variation. Zbl 1289.42026Goginava, Ushangi; Sahakian, Artur 1 2011 On the convergence of double Fourier series of functions of bounded partial generalized variation. Zbl 1321.42019Goginava, Ushangi; Sahakian, Artur 7 2010 Error bounds for approximations of traces of products of truncated Toeplitz operators. Zbl 1302.47042Ginovyan, M. S.; Saakyan, A. A. 1 2008 Limit theorems for Toeplitz quadratic functionals of continuous-time stationary processes. Zbl 1113.60027Ginovyan, M. S.; Sahakyan, A. A. 12 2007 On the central limit theorem for Toeplitz quadratic forms of stationary sequences. Zbl 1090.60021Ginovyan, M. S.; Saakyan, A. A. 9 2005 Unconditional basis property of generalized Franklin systems. Zbl 1022.42020Gevorkyan, G. G.; Sahakian, A. A. 5 2000 Orthogonal series. 2nd ed. Zbl 1188.42010Kashin, B. S.; Saakyan, A. A. 94 1999 Translation and dilation invariant subspaces of \(L^2(\mathbb{R})\) and multiresolution analyses. Zbl 0926.42020Lorentz, R. A.; Madych, W. R.; Sahakian, A. 9 1998 Subspaces generated by wavelet systems. Zbl 1055.42508Lorentz, R. A.; Saakyan, A. A. 2 1998 Bivariate Hermite interpolation and numerical curves. Zbl 0857.41001Gevorgian, Hovik V.; Hakopian, Hakop A.; Sahakian, Artur A. 3 1996 On the bivariate Hermite interpolation problem. Zbl 0823.41004Gevorgian, H. V.; Hakopian, H. A.; Sahakian, A. A. 4 1995 Multivariate Hermite interpolation. Zbl 0847.41002Gevorgian, Hovik V.; Hakopian, Hakop A.; Sahakian, Artur A. 2 1995 Multivariate polynomial interpolation to traces on manifolds. Zbl 0918.41004Hakopian, H. A.; Sahakian, A. A. 2 1995 Orthogonal trigonometric Schauder bases of optimal degree for \(C(K)\). Zbl 0839.42013Lorentz, R. A.; Sahakian, A. A. 7 1994 Spline functions and multivariate interpolations. Zbl 0772.41011Bojanov, Borislav D.; Hakopian, Hakop A.; Sahakian, Artur A. 56 1993 Multivariate splines and polynomial interpolation. Zbl 0813.41027Akopyan, A. A.; Saakyan, A. A. 5 1993 Orthogonal series. Transl. from the Russian by Ralph P. Boas. Transl. ed. by Ben Silver. Zbl 0668.42011Kashin, B. S.; Saakyan, A. A. 67 1989 A class of systems of partial differential equations. Zbl 0695.35028Akopyan, A. A.; Saakyan, A. A. 1 1989 A system of differential equations connected with a polynomial class of shifts of a box spline. Zbl 0711.35027Akopyan, A. A.; Saakyan, A. A. 4 1988 On convergence of double Fourier series of functions of bounded harmonic variation. Zbl 0614.42009Saakyan, A. A. 8 1986 On the convergence of double Fourier series of functions with bounded harmonic variation. Zbl 0653.42012Saakyan, A. A. 1 1986 On functions of bounded \(\Lambda\)-variation. Zbl 0647.26008Saakyan, A. A. 1 1985 Orthogonal series. Zbl 0632.42017Kashin, B. S.; Saakyan, A. A. 55 1984 Integral moduli of smoothness and the Fourier coefficients of the composition of functions. Zbl 0542.42002Saakyan, A. A. 1 1981 On properties of Fourier coefficients of a composition of functions. Zbl 0506.42010Saakyan, A. A. 2 1979 all cited Publications top 5 cited Publications all top 5 Cited by 355 Authors 22 Astashkin, Sergeĭ Vladimir 18 Sahakyan, Artur A. 11 Ginovyan, Mamikon S. 10 Semënov, Evgeniĭ Mikhaĭlovich 9 Goginava, Ushangi 7 Kashin, Boris Sergeevich 7 Kerimov, Nazim B. 7 Terekhin, Pavel Aleksandrovich 5 Aliyev, Ziyatkhan S. 5 Gevorkyan, Gegham G. 5 Lukashenko, Taras P. 5 Phung, Van Manh 4 Boyanov, Borislav Dechev 4 Galatenko, Vladimir V. 4 Hayotov, Abdullo Rakhmonovich 4 Kazarian, Kazaros S. 4 Keryan, Karen A. 4 Remogna, Sara 4 Sablonnière, Paul 4 Sadovnichiĭ, Viktor Antonovich 4 Shadimetov, Kholmat Mahkambaevich 4 Skopina, Maria A. 4 Tsagareĭshvili, Vakhtang Shalvivich 4 Volosivets, Sergeĭ Sergeevich 3 Freud, Géza 3 Gogoladze, Leri Davidovich 3 Gu, Qing 3 Hakopian, Hakop A. 3 Han, Deguang 3 Kaya, Ufuk 3 Kiselev, Evgenii A. 3 Lytkin, S. M. 3 Meleshkina, A. V. 3 Milovanović, Gradimir V. 3 Minin, Leonid A. 3 Naidenov, Nikola 3 Nevai, Paul G. 3 Novikov, Igor Yakovlevich 3 Passenbrunner, Markus 3 Petrov, Petar P. 3 Prestin, Jurgen 3 Ron, Amos 3 Taqqu, Murad S. 2 Aubakirov, T. U. 2 Bai, Shuyang 2 Bakhvalov, A. N. 2 Balgimbayeva, Sholpan A. 2 Barseghyan, Diana 2 Bazarkhanov, Daurenbek Bolysbekovich 2 Bednorz, Witold Marek 2 Chobanjan, Sergej A. 2 Curbera, Guillermo P. 2 Dagnino, Catterina 2 de Boor, Carl 2 Dimitrov, Dimitar K. 2 Dinh Dũng 2 Dryanov, Dimiter P. 2 Dyn, Nira 2 Evdokimov, Sergeĭ Alekseevich 2 Filippov, Vadim Ivanovich 2 Gao, Jiti 2 Gát, György 2 Grigoryan, Martin Gevorgovich 2 Holtz, Olga 2 Izumi, Shuzo 2 Karagulyan, Grigori 2 Kats, Boris Aleksandrovich 2 Kozyrev, Sergeĭ Vladimirovich 2 Kroó, András 2 Krotov, Veniamin Grigor’evich 2 Kurbanov, Vali M. 2 Lamberti, Paola 2 Leonenko, Nikolai N. 2 Levental, Shlomo 2 Limonova, Irina V. 2 Lorentz, Rudolph Alexander 2 Luo, Zhongxuan 2 Maligranda, Lech 2 Manh, P. V. 2 Manni, Carla 2 Martirosyan, A. S. 2 Meng, Zhaoliang 2 Pereverzev, Sergei V. 2 Pernay, Vladimir V. 2 Plotnikov, Mikhail G. 2 Quak, Ewald G. 2 Radchenko, Vadym Mykolaĭovych 2 Radomskiĭ, Artëm Olegovich 2 Rodin, Vladimir A. 2 Romanyuk, Viktor Sergiiovych 2 Royset, Johannes O. 2 San Antolín, Angel 2 Stefans’ka, N. O. 2 Sukhanov, R. S. 2 Tkebuchava, Georg E. 2 Trynin, Aleksandr Yur’evich 2 Uksusov, S. N. 2 Usachev, Aleksandr Sergeevich 2 Waldron, Shayne F. D. 2 Wets, Roger Jean-Baptiste ...and 255 more Authors all top 5 Cited in 91 Serials 57 Mathematical Notes 28 Journal of Approximation Theory 17 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 13 Analysis Mathematica 12 Proceedings of the Steklov Institute of Mathematics 11 Acta Mathematica Academiae Scientiarum Hungaricae 11 Siberian Mathematical Journal 9 Russian Mathematics 9 Doklady Mathematics 8 Journal of Mathematical Analysis and Applications 8 Ukrainian Mathematical Journal 8 Journal of Computational and Applied Mathematics 8 Journal of Functional Analysis 7 Moscow University Mathematics Bulletin 5 Differential Equations 4 Applied Mathematics and Computation 4 St. Petersburg Mathematical Journal 4 Transformation Groups 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Computers & Mathematics with Applications 3 Journal d’Analyse Mathématique 3 Mathematics of Computation 3 BIT 3 Functional Analysis and its Applications 3 Proceedings of the American Mathematical Society 3 Indagationes Mathematicae. New Series 3 Theory of Probability and Mathematical Statistics 3 Journal of Mathematical Sciences (New York) 3 Georgian Mathematical Journal 3 The Journal of Fourier Analysis and Applications 3 Central European Journal of Mathematics 2 Russian Mathematical Surveys 2 Studia Mathematica 2 The Annals of Probability 2 Calcolo 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Statistical Planning and Inference 2 Transactions of the American Mathematical Society 2 Statistics & Probability Letters 2 Acta Mathematica Hungarica 2 Probability Theory and Related Fields 2 Numerical Algorithms 2 Lobachevskii Journal of Mathematics 2 Analysis in Theory and Applications 1 Applicable Analysis 1 International Journal of Systems Science 1 Theory of Probability and its Applications 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 The Annals of Statistics 1 Inventiones Mathematicae 1 Journal of Differential Equations 1 Journal of Multivariate Analysis 1 Numerical Functional Analysis and Optimization 1 Results in Mathematics 1 European Journal of Combinatorics 1 Zeitschrift für Analysis und ihre Anwendungen 1 Acta Applicandae Mathematicae 1 Journal of Complexity 1 Constructive Approximation 1 Journal of Theoretical Probability 1 Journal of Integral Equations and Applications 1 The Journal of Geometric Analysis 1 Stochastic Processes and their Applications 1 Computational Statistics and Data Analysis 1 Mathematical Programming. Series A. Series B 1 SIAM Journal on Scientific Computing 1 Applied and Computational Harmonic Analysis 1 Advances in Computational Mathematics 1 Sbornik: Mathematics 1 Izvestiya: Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Abstract and Applied Analysis 1 Positivity 1 Revista Matemática Complutense 1 Discrete Dynamics in Nature and Society 1 Statistical Inference for Stochastic Processes 1 Acta Mathematica Sinica. English Series 1 Computational Methods and Function Theory 1 Journal of Function Spaces and Applications 1 Mediterranean Journal of Mathematics 1 Acta Physica Academiae Scientiarum Hungaricae 1 Electronic Journal of Statistics 1 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 1 Set-Valued and Variational Analysis 1 Probability Surveys 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Bulletin of Mathematical Sciences 1 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika 1 Arabian Journal of Mathematics 1 Journal of Function Spaces all top 5 Cited in 43 Fields 156 Harmonic analysis on Euclidean spaces (42-XX) 90 Approximations and expansions (41-XX) 58 Functional analysis (46-XX) 35 Numerical analysis (65-XX) 32 Probability theory and stochastic processes (60-XX) 20 Real functions (26-XX) 17 Operator theory (47-XX) 16 Ordinary differential equations (34-XX) 12 Sequences, series, summability (40-XX) 12 Statistics (62-XX) 5 Number theory (11-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Special functions (33-XX) 4 Combinatorics (05-XX) 4 Partial differential equations (35-XX) 4 Convex and discrete geometry (52-XX) 3 Commutative algebra (13-XX) 3 Functions of a complex variable (30-XX) 3 Abstract harmonic analysis (43-XX) 3 Manifolds and cell complexes (57-XX) 3 Computer science (68-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Biology and other natural sciences (92-XX) 3 Information and communication theory, circuits (94-XX) 2 History and biography (01-XX) 2 Associative rings and algebras (16-XX) 2 Group theory and generalizations (20-XX) 2 Topological groups, Lie groups (22-XX) 2 Measure and integration (28-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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