Արթուր Սահակյանի հրապարակումներ (Full profile)
Paper
- , A Note on Approximations of Traces of Products of Truncated Toeplitz Matrices, Izvestia NAN Armenii, 44, (4), pp. 77-86, (2009)
- , Error Bounds for Approximations of Traces of products of Truncated Toeplitz Operators, Izvestia NAN Armenii, 43, (4), pp. 3-18, (2008)
- , Limit Theorems for Toepltz Quadratic Functionals of Con-tinuous-Time Stacionary Processes, Probability Theory and Related Fields, 137, pp. 551-579, (2007)
- , On the Central Limit Theorem for Toeplitz Quadratic Functionals of Stationary Sequences, Izvestia NAN Armenii, 38, 1, 49--72 (in Russian). , (2004)
- , On the Central Limit Theorem for Toeplitz Quadratic Forms of Stationary Sequences, Probability Theory and Applications, 49, 4, pp. 2-19, (2004)
- , Convergence of double Fourier series after change of variable, Mat. Zametki, 74, 2, 267--277 (in Russian). , (2003)
- , Convergence of Greede Algorithm for continuous functions after change of variable, Izvestia NAN Armenii, 37, 4, 63--72 (in Russian). , (2002)
- , On Uncoditionality of General Franklin Systems, Izvestia NAN Armenii, 35, 4, 7--25 (in Russian). , (2000)
- , On Subspaces Induced by Wavelet Systems, Mat Zametki, 63, 2, 299-302 (in Russian). , (1998)
- , Translation and Dilation Invariant Subspaces of $L^2(R)$ and Multiresolution Analyses, Applied and Computational Harmonic Analysis, . , (1998)
- , On Bohr's Theorem for Multiple Trigonometric Series, 64, 6, 913 -- 924. (in Russian). , (1998)
- , Numerical curves and their applications to algebraic curves, Studia Math. , 121, 3, pp. 249-275, (1996)
- , On the bivariate Hermite interpolation problem, Constructive Approximation, 11, pp. 23-36, (1995)
- , Numerical curves and their applications to algebraic curves, Advanced Topics in Multivariate Approximation, (F. Fontanella, K. Jetter, P. J. Laurent eds. ), pp. 97-112., (1995)
- , Multivariate Hermite Interpolation, East Journal on Approximations, 1, 3, pp. 357-371., (1995)
- , Bivariate Hermite interpolation and numerical curves, Journal of Approximation Theory, 85, 3, pp. 297-317, (1995)
- , Multivariate polynomial interpolation to traces on manifolds, Journal of Approximation Theory, 80, 1, pp. 50-75, (1995)
- , Orthogonal Trigonometric Schauder Bases of optimal degree for $C(0,2pi)$, Fourier Analisys and Applications, 1, (1), pp. 103-112., (1994)
- , Multivariate Splines and Polynomial Interpolation, Uspekhi Mat Nauk, 48, (293), 3-75 (in Russian), (5), (1993)
- , On Bivariate Polynomial Interpolation, Mat. Sbornik, 183, 6, 111-126 (in Russian), (1992)
- , On the Bivariate Hermite Interpolation, Mat. Zametki, 48, 137--139 (in Russian). , (1990)
- , On a Class of Systems of Differential Equations in Partial Differentials, Izvestiya AN Arm. SSR, ser. Math. , 24, 1. (in Russian). , pp. 93-98, (1989)
- , On Bohr's Theorem for Multiple Trigonometric Series, Mat. Zametki, 46, 2, 94--103 (in Russian). , (1989)
- , On System of Differential Equations, connected with the Polynomial Class of Shifts of Box-Spline, Mat. Zametki, 44, (in Russian). , pp. 705-724, (1988)
- , On Uniqueness of Everywhere convergent Rearranged Series with respect to Trigonometric System and Orthonormal Bases of the space C(0,1), Izvestiya AN Arm. SSR, ser. Math. , 22, 6 (in Russian). , pp. 543-584, (1987)
- , On convergence of double Fourier Series of Functions of Bounded Harmonic Variation, Izvestiya AN Arm. SSR, ser. Math. , 21, 6 (in Russian). , pp. 517-529, (1986)
- , On functions of bounded $\Lambda$-variation, Doklady AN Arm SSR, 81, 2 (in Russian), pp. 54-58, (1985)
- , On divergence of Fourier series Superposition of continuous functions, Mat. Zametki, 29, 6 (in Russian). , pp. 849-858, (1981)
- , On properties of Fourier coefficients of Superposition of Functions, DAN SSSR, 248, 2 (in Russian), pp. 302-306, (1979)
- , Integral modulus of smoothness and Fourier coefficients of Superposition of Functions, Mat. Sbornik, 110, 4 (in Russian), (152), pp. 597-608, (1979)
Conference Paper
- , Convergence of Fourier Series After Change of Variable, International Conference Approximation and Probability, Bedlewo, Poland, 20-24 September , (2004)
- , Convergence of Fourier Series after Change of Variable, International Conference Mathematics in Armenia, Advances and Perspectives, Tsahkadzor, ARMENIA, September 30 - October 7, (2003)
- , On Bohr's Theorem and Salem Test for Multiple Trigonometric Series, International Conference Harmonic Analysis and Approximations, Nor Amberd, Armenia, September 18--25, p. 51, (1998)
- , Bivariate Hermite interpolation and algebraic curves, International Workshop on Multivariate Approximation and Interpolation, Montecatini, 18-19, Italy, (1995)
- , Bivariate Hermite interpolation and numerical curves, Abstracts of International Congress of Mathematicians, Zurich, p. 107, (1994)
- , Bivariate Hermite interpolation and numerical curves, Proc. of the International Conference on Open Problems in Approx. Theory, Voneshta Voda, Bulgaria, (1993)
- , Multivariate polynomial interpolation by traces on hyperplanes, International Workshop on Multivariate Approximation and Interpolation, Duisburg, pp. 4-5, (1989)
- , On certain systems of partial differential equations, International Conference on Constructive Function Theory, Varna, (1987)
- , On uniqueness of rearranged series for fixed rearrangement, Proceedings of 3-th Saratov winter school, part 2, pp. 153-154, (1986)
- , On Fourier Series of functions of bounded generalized variation, Abstracts of Seminar of I. N. Vekua Institute of applied mathematics, 1, 2, pp. 122-125, (1985)
- , On Superposition of Continuous Functions and their Fourier Series, Abstracts of All Union school on Theory of Functions. Kemerovo, (1983)
- , Approximations of Traces of products of Truncated Toeplitz Operators, International Conference Harmonic Analysis and Approximations IV, Tsahkadzor, Armenia, September 19 ? 26, 2008, p. 108-110.
- , Approximations of Traces of products of Truncated Toeplitz Operator, International Conference Harmonic Analysis and Approximations IV, Tsahkadzor, Armenia, September 19 ? 26, 2008, p. 108-110
Book
- , Spline Functions and Multivariate Interpolations, Kluwer Academic Publishers, (1993)
- , Orthogonal Series, Moscow, Nauka 1984, AFC 1999, (in Russian), (1984)