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## Sahakyan, Artur A.

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 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
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#### 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.
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#### 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
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#### 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)

#### Citations contained in zbMATH

35 Publications have been cited 383 times in 339 Documents Cited by Year
Orthogonal series. 2nd ed. Zbl 1188.42010
Kashin, B. S.; Saakyan, A. A.
1999
Orthogonal series. Transl. from the Russian by Ralph P. Boas. Transl. ed. by Ben Silver. Zbl 0668.42011
Kashin, B. S.; Saakyan, A. A.
1989
Spline functions and multivariate interpolations. Zbl 0772.41011
Bojanov, Borislav D.; Hakopian, Hakop A.; Sahakian, Artur A.
1993
Orthogonal series. Zbl 0632.42017
Kashin, B. S.; Saakyan, A. A.
1984
Limit theorems for Toeplitz quadratic functionals of continuous-time stationary processes. Zbl 1113.60027
Ginovyan, M. S.; Sahakyan, A. A.
2007
On the central limit theorem for Toeplitz quadratic forms of stationary sequences. Zbl 1090.60021
Ginovyan, M. S.; Saakyan, A. A.
2005
Translation and dilation invariant subspaces of $$L^2(\mathbb{R})$$ and multiresolution analyses. Zbl 0926.42020
Lorentz, R. A.; Madych, W. R.; Sahakian, A.
1998
On convergence of double Fourier series of functions of bounded harmonic variation. Zbl 0614.42009
Saakyan, A. A.
1986
On the convergence of double Fourier series of functions of bounded partial generalized variation. Zbl 1321.42019
Goginava, Ushangi; Sahakian, Artur
2010
Orthogonal trigonometric Schauder bases of optimal degree for $$C(K)$$. Zbl 0839.42013
Lorentz, R. A.; Sahakian, A. A.
1994
Convergence of double Fourier series and generalized $$\Lambda$$-variation. Zbl 1250.42032
Goginava, Ushangi; Sahakian, Artur
2012
Unconditional basis property of generalized Franklin systems. Zbl 1022.42020
Gevorkyan, G. G.; Sahakian, A. A.
2000
Multivariate splines and polynomial interpolation. Zbl 0813.41027
Akopyan, A. A.; Saakyan, A. A.
1993
The trace problem for Toeplitz matrices and operators and its impact in probability. Zbl 1348.60054
Ginovyan, Mamikon S.; Sahakyan, Artur A.; Taqqu, Murad S.
2014
On the bivariate Hermite interpolation problem. Zbl 0823.41004
Gevorgian, H. V.; Hakopian, H. A.; Sahakian, A. A.
1995
A system of differential equations connected with a polynomial class of shifts of a box spline. Zbl 0711.35027
Akopyan, A. A.; Saakyan, A. A.
1988
On the convergence of multiple Walsh-Fourier series of functions of bounded generalized variation. Zbl 1273.42029
Goginava, U.; Sahakian, A.
2012
Trace approximations of products of truncated Toeplitz operators. Zbl 1242.60022
Ginovyan, M. S.; Sahakyan, A. A.
2012
Bivariate Hermite interpolation and numerical curves. Zbl 0857.41001
Gevorgian, Hovik V.; Hakopian, Hakop A.; Sahakian, Artur A.
1996
Convergence of two-dimensional trigonometric interpolation polynomials of functions of bounded harmonic variation. Zbl 1307.42007
Nurbekyan, A. R.; Sahakyan, A. A.
2014
On the convergence of multiple Fourier series of functions of bounded partial generalized variation. Zbl 1299.42017
Goginava, Ushangi; Sahakian, Artur
2013
On the trace approximations of products of Toeplitz matrices. Zbl 1355.60044
Ginovyan, Mamikon S.; Sahakyan, Artur A.
2013
Subspaces generated by wavelet systems. Zbl 1055.42508
Lorentz, R. A.; Saakyan, A. A.
1998
Multivariate Hermite interpolation. Zbl 0847.41002
Gevorgian, Hovik V.; Hakopian, Hakop A.; Sahakian, Artur A.
1995
Multivariate polynomial interpolation to traces on manifolds. Zbl 0918.41004
Hakopian, H. A.; Sahakian, A. A.
1995
On properties of Fourier coefficients of a composition of functions. Zbl 0506.42010
Saakyan, A. A.
1979
Estimation of spectral functionals for Lévy-driven continuous-time linear models with tapered data. Zbl 07021705
Ginovyan, Mamikon S.; Sahakyan, Artur A.
2019
Robust estimation for continuous-time linear models with memory. Zbl 1392.62283
Ginovyan, Mamikon S.; Sahakyan, Artur A.
2017
On the convergence and summability of double Walsh-Fourier series of functions of bounded generalized variation. Zbl 1368.42026
Goginava, U.; Sahakian, A. A.
2014
On the convergence of Cesàro means of negative order of double trigonometric Fourier series of functions of bounded partial generalized variation. Zbl 1289.42026
Goginava, Ushangi; Sahakian, Artur
2011
Error bounds for approximations of traces of products of truncated Toeplitz operators. Zbl 1302.47042
Ginovyan, M. S.; Saakyan, A. A.
2008
A class of systems of partial differential equations. Zbl 0695.35028
Akopyan, A. A.; Saakyan, A. A.
1989
On the convergence of double Fourier series of functions with bounded harmonic variation. Zbl 0653.42012
Saakyan, A. A.
1986
On functions of bounded $$\Lambda$$-variation. Zbl 0647.26008
Saakyan, A. A.
1985
Integral moduli of smoothness and the Fourier coefficients of the composition of functions. Zbl 0542.42002
Saakyan, A. A.
1981
Estimation of spectral functionals for Lévy-driven continuous-time linear models with tapered data. Zbl 07021705
Ginovyan, Mamikon S.; Sahakyan, Artur A.
2019
Robust estimation for continuous-time linear models with memory. Zbl 1392.62283
Ginovyan, Mamikon S.; Sahakyan, Artur A.
2017
The trace problem for Toeplitz matrices and operators and its impact in probability. Zbl 1348.60054
Ginovyan, Mamikon S.; Sahakyan, Artur A.; Taqqu, Murad S.
2014
Convergence of two-dimensional trigonometric interpolation polynomials of functions of bounded harmonic variation. Zbl 1307.42007
Nurbekyan, A. R.; Sahakyan, A. A.
2014
On the convergence and summability of double Walsh-Fourier series of functions of bounded generalized variation. Zbl 1368.42026
Goginava, U.; Sahakian, A. A.
2014
On the convergence of multiple Fourier series of functions of bounded partial generalized variation. Zbl 1299.42017
Goginava, Ushangi; Sahakian, Artur
2013
On the trace approximations of products of Toeplitz matrices. Zbl 1355.60044
Ginovyan, Mamikon S.; Sahakyan, Artur A.
2013
Convergence of double Fourier series and generalized $$\Lambda$$-variation. Zbl 1250.42032
Goginava, Ushangi; Sahakian, Artur
2012
On the convergence of multiple Walsh-Fourier series of functions of bounded generalized variation. Zbl 1273.42029
Goginava, U.; Sahakian, A.
2012
Trace approximations of products of truncated Toeplitz operators. Zbl 1242.60022
Ginovyan, M. S.; Sahakyan, A. A.
2012
On the convergence of Cesàro means of negative order of double trigonometric Fourier series of functions of bounded partial generalized variation. Zbl 1289.42026
Goginava, Ushangi; Sahakian, Artur
2011
On the convergence of double Fourier series of functions of bounded partial generalized variation. Zbl 1321.42019
Goginava, Ushangi; Sahakian, Artur
2010
Error bounds for approximations of traces of products of truncated Toeplitz operators. Zbl 1302.47042
Ginovyan, M. S.; Saakyan, A. A.
2008
Limit theorems for Toeplitz quadratic functionals of continuous-time stationary processes. Zbl 1113.60027
Ginovyan, M. S.; Sahakyan, A. A.
2007
On the central limit theorem for Toeplitz quadratic forms of stationary sequences. Zbl 1090.60021
Ginovyan, M. S.; Saakyan, A. A.
2005
Unconditional basis property of generalized Franklin systems. Zbl 1022.42020
Gevorkyan, G. G.; Sahakian, A. A.
2000
Orthogonal series. 2nd ed. Zbl 1188.42010
Kashin, B. S.; Saakyan, A. A.
1999
Translation and dilation invariant subspaces of $$L^2(\mathbb{R})$$ and multiresolution analyses. Zbl 0926.42020
Lorentz, R. A.; Madych, W. R.; Sahakian, A.
1998
Subspaces generated by wavelet systems. Zbl 1055.42508
Lorentz, R. A.; Saakyan, A. A.
1998
Bivariate Hermite interpolation and numerical curves. Zbl 0857.41001
Gevorgian, Hovik V.; Hakopian, Hakop A.; Sahakian, Artur A.
1996
On the bivariate Hermite interpolation problem. Zbl 0823.41004
Gevorgian, H. V.; Hakopian, H. A.; Sahakian, A. A.
1995
Multivariate Hermite interpolation. Zbl 0847.41002
Gevorgian, Hovik V.; Hakopian, Hakop A.; Sahakian, Artur A.
1995
Multivariate polynomial interpolation to traces on manifolds. Zbl 0918.41004
Hakopian, H. A.; Sahakian, A. A.
1995
Orthogonal trigonometric Schauder bases of optimal degree for $$C(K)$$. Zbl 0839.42013
Lorentz, R. A.; Sahakian, A. A.
1994
Spline functions and multivariate interpolations. Zbl 0772.41011
Bojanov, Borislav D.; Hakopian, Hakop A.; Sahakian, Artur A.
1993
Multivariate splines and polynomial interpolation. Zbl 0813.41027
Akopyan, A. A.; Saakyan, A. A.
1993
Orthogonal series. Transl. from the Russian by Ralph P. Boas. Transl. ed. by Ben Silver. Zbl 0668.42011
Kashin, B. S.; Saakyan, A. A.
1989
A class of systems of partial differential equations. Zbl 0695.35028
Akopyan, A. A.; Saakyan, A. A.
1989
A system of differential equations connected with a polynomial class of shifts of a box spline. Zbl 0711.35027
Akopyan, A. A.; Saakyan, A. A.
1988
On convergence of double Fourier series of functions of bounded harmonic variation. Zbl 0614.42009
Saakyan, A. A.
1986
On the convergence of double Fourier series of functions with bounded harmonic variation. Zbl 0653.42012
Saakyan, A. A.
1986
On functions of bounded $$\Lambda$$-variation. Zbl 0647.26008
Saakyan, A. A.
1985
Orthogonal series. Zbl 0632.42017
Kashin, B. S.; Saakyan, A. A.
1984
Integral moduli of smoothness and the Fourier coefficients of the composition of functions. Zbl 0542.42002
Saakyan, A. A.
1981
On properties of Fourier coefficients of a composition of functions. Zbl 0506.42010
Saakyan, A. A.
1979
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#### 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
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#### 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)

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