Edit Profile (opens in new tab) Ephremidze, Lasha Co-Author Distance Author ID: ephremidze.lasha Published as: Ephremidze, Lasha; Ephremidze, L. Documents Indexed: 66 Publications since 1992, including 8 Additional arXiv Preprints Reviewing Activity: 20 Reviews Co-Authors: 20 Co-Authors with 45 Joint Publications 507 Co-Co-Authors all top 5 Co-Authors 21 single-authored 18 Spitkovsky, Ilya Matvey 13 Lagvilava, Edem 7 Janashia, Gigla 5 Fujii, Nobuhiko 3 Gamkrelidze, Alexander 3 Salia, Nika 2 Gerstacker, Wolfgang H. 2 Kokilashvili, Vakhtang 2 Saatashvili, Aleksandre 2 Sato, Ryotaro 2 Shargorodsky, Eugene 1 Janshia, G. 1 Meskhi, Alexander 1 Mishuris, Gennady S. 1 Saied, Faisal 1 Samko, Stefan Grigor’evich 1 Selesnick, Ivan W. 1 Sobukawa, Takuya 1 Terasawa, Yutaka 1 Yıldırır, Yunus Emre all top 5 Serials 10 Georgian Mathematical Journal 10 Proceedings of A. Razmadze Mathematical Institute 5 Transactions of A. Razmadze Mathematical Institute 3 Real Analysis Exchange 3 The Journal of Fourier Analysis and Applications 2 IEEE Transactions on Information Theory 2 Studia Mathematica 2 Journal of Mathematical Sciences (New York) 1 Journal of Mathematical Analysis and Applications 1 Colloquium Mathematicum 1 Fundamenta Mathematicae 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Ergodic Theory and Dynamical Systems 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Memoirs on Differential Equations and Mathematical Physics 1 Advances in Computational Mathematics 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Fractional Calculus & Applied Analysis 1 Revista Matemática Complutense 1 Far East Journal of Dynamical Systems 1 International Journal of Wavelets, Multiresolution and Information Processing 1 Journal of Function Spaces and Applications 1 RIMS Kôkyûroku Bessatsu 1 Bulletin of the Georgian National Academy of Sciences. New Series 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Fields 30 Operator theory (47-XX) 25 Harmonic analysis on Euclidean spaces (42-XX) 18 Measure and integration (28-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 10 Dynamical systems and ergodic theory (37-XX) 8 Numerical analysis (65-XX) 7 Functions of a complex variable (30-XX) 2 Integral transforms, operational calculus (44-XX) 2 Functional analysis (46-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Probability theory and stochastic processes (60-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 30 Publications have been cited 154 times in 71 Documents Cited by ▼ Year ▼ Fractional, maximal and singular operators in variable exponent Lorentz spaces. Zbl 1167.42310 Ephremidze, Lasha; Kokilashvili, Vakhtang; Samko, Stefan 18 2008 A new method of matrix spectral factorization. Zbl 1367.65064 Janashia, Gigla; Lagvilava, Edem; Ephremidze, Lasha 16 2011 A simple proof of the matrix-valued Fejér–Riesz theorem. Zbl 1169.47012 Ephremidze, Lasha; Janashia, Gigla; Lagvilava, Edem 15 2009 On approximate spectral factorization of matrix functions. Zbl 1251.47020 Ephremidze, Lasha; Janashia, Gigla; Lagvilava, Edem 14 2011 On the algorithmization of Janashia-Lagvilava matrix spectral factorization method. Zbl 1392.65092 Ephremidze, Lasha; Saied, Faisal; Spitkovsky, Ilya Matvey 11 2018 An elementary proof of the polynomial matrix spectral factorization theorem. Zbl 1318.15006 Ephremidze, Lasha 9 2014 An analytic proof of the matrix spectral factorization theorem. Zbl 1160.47017 Ephremidze, Lasha; Janashia, Gigla; Lagvilava, Edem 9 2008 On compact wavelet matrices of rank \(m\) and of order and degree \(N\). Zbl 1309.42047 Ephremidze, Lasha; Lagvilava, Edem 8 2014 Remark on outer analytic matrix-functions. Zbl 1196.30047 Ephremidze, L.; Lagvilava, E. 8 2010 On explicit Wiener-Hopf factorization of \(2 \times 2\) matrices in a vicinity of a given matrix. Zbl 1472.15020 Ephremidze, L.; Spitkovsky, I. 6 2020 On the inverse inequalities for trigonometric polynomial approximations in weighted Lorentz spaces. Zbl 1149.42001 Ephremidze, L.; Kokilashvili, V.; Yildirir, Y. E. 5 2007 A remark on a polynomial matrix factorization theorem. Zbl 1272.47032 Ephremidze, Lasha; Spitkovsky, Ilya M. 5 2012 On the factorization of unitary matrix-functions. Zbl 0938.47018 Ephremidze, L.; Janashia, G.; Lagvilava, E. 5 1998 Matrix spectral factorization and wavelets. Zbl 1286.42052 Janashia, G.; Lagvilava, E.; Ephremidze, L. 4 2013 Matrix spectral factorization with perturbed data. Zbl 1336.15006 Ephremidze, Lasha; Spitkovsky, Ilya 3 2015 A new computational algorithm of spectral factorization for polynomial matrix-functions. Zbl 1099.47019 Ephremidze, L.; Janashia, G.; Lagvilava, E. 2 2004 Quantitative results on continuity of the spectral factorization mapping in the scalar case. Zbl 1356.47024 Ephremidze, Lasha; Shargorodsky, Eugene; Spitkovsky, Ilya 2 2016 On the uniqueness of the ergodic maximal function. Zbl 1004.28010 Ephremidze, Lasha 2 2002 The Riesz “rising sun” lemma for arbitrary Borel measures with some applications. Zbl 1213.42067 Ephremidze, Lasha; Fujii, Nobuhiko; Terasawa, Yutaka 1 2007 On a relationship between the integrabilities of various maximal functions. Zbl 0816.42013 Ephremidze, L. 1 1995 On the uniqueness of maximal functions. Zbl 0846.42012 Ephremidze, L. 1 1996 On parametrization of compact wavelet matrices. Zbl 1178.42036 Ephremidze, Lasha; Lagvilava, Edem 1 2008 On approximate factorization of positively definite matrix functions of second order. Zbl 0954.47021 Ephremidze, L. 1 1999 The rearrangement inequality for the ergodic maximal function. Zbl 0996.28007 Ephremidze, L. 1 2001 On the uniqueness of the two-sided ergodic maximal function. Zbl 1105.28010 Ephremidze, Lasha 1 2005 On non-optimal spectral factorizations. Zbl 06815237 Ephremidze, Lasha; Selesnick, Ivan; Spitkovsky, Ilya 1 2017 On the uniqueness of maximal operators for ergodic flows. Zbl 1063.37001 Ephremidze, Lasha 1 2002 On the generalization of the Janashia-Lagvilava method for arbitrary fields. Zbl 07536925 Ephremidze, Lasha; Spitkovsky, Ilya 1 2022 Quantitative results on continuity of the spectral factorization mapping. Zbl 1443.47018 Ephremidze, L.; Shargorodsky, E.; Spitkovsky, I. 1 2020 An approximation of Daubechies wavelet matrices by perfect reconstruction filter banks with rational coefficients. Zbl 1262.42018 Ephremidze, L.; Gamkrelidze, A.; Lagvilava, E. 1 2013 On the generalization of the Janashia-Lagvilava method for arbitrary fields. Zbl 07536925 Ephremidze, Lasha; Spitkovsky, Ilya 1 2022 On explicit Wiener-Hopf factorization of \(2 \times 2\) matrices in a vicinity of a given matrix. Zbl 1472.15020 Ephremidze, L.; Spitkovsky, I. 6 2020 Quantitative results on continuity of the spectral factorization mapping. Zbl 1443.47018 Ephremidze, L.; Shargorodsky, E.; Spitkovsky, I. 1 2020 On the algorithmization of Janashia-Lagvilava matrix spectral factorization method. Zbl 1392.65092 Ephremidze, Lasha; Saied, Faisal; Spitkovsky, Ilya Matvey 11 2018 On non-optimal spectral factorizations. Zbl 06815237 Ephremidze, Lasha; Selesnick, Ivan; Spitkovsky, Ilya 1 2017 Quantitative results on continuity of the spectral factorization mapping in the scalar case. Zbl 1356.47024 Ephremidze, Lasha; Shargorodsky, Eugene; Spitkovsky, Ilya 2 2016 Matrix spectral factorization with perturbed data. Zbl 1336.15006 Ephremidze, Lasha; Spitkovsky, Ilya 3 2015 An elementary proof of the polynomial matrix spectral factorization theorem. Zbl 1318.15006 Ephremidze, Lasha 9 2014 On compact wavelet matrices of rank \(m\) and of order and degree \(N\). Zbl 1309.42047 Ephremidze, Lasha; Lagvilava, Edem 8 2014 Matrix spectral factorization and wavelets. Zbl 1286.42052 Janashia, G.; Lagvilava, E.; Ephremidze, L. 4 2013 An approximation of Daubechies wavelet matrices by perfect reconstruction filter banks with rational coefficients. Zbl 1262.42018 Ephremidze, L.; Gamkrelidze, A.; Lagvilava, E. 1 2013 A remark on a polynomial matrix factorization theorem. Zbl 1272.47032 Ephremidze, Lasha; Spitkovsky, Ilya M. 5 2012 A new method of matrix spectral factorization. Zbl 1367.65064 Janashia, Gigla; Lagvilava, Edem; Ephremidze, Lasha 16 2011 On approximate spectral factorization of matrix functions. Zbl 1251.47020 Ephremidze, Lasha; Janashia, Gigla; Lagvilava, Edem 14 2011 Remark on outer analytic matrix-functions. Zbl 1196.30047 Ephremidze, L.; Lagvilava, E. 8 2010 A simple proof of the matrix-valued Fejér–Riesz theorem. Zbl 1169.47012 Ephremidze, Lasha; Janashia, Gigla; Lagvilava, Edem 15 2009 Fractional, maximal and singular operators in variable exponent Lorentz spaces. Zbl 1167.42310 Ephremidze, Lasha; Kokilashvili, Vakhtang; Samko, Stefan 18 2008 An analytic proof of the matrix spectral factorization theorem. Zbl 1160.47017 Ephremidze, Lasha; Janashia, Gigla; Lagvilava, Edem 9 2008 On parametrization of compact wavelet matrices. Zbl 1178.42036 Ephremidze, Lasha; Lagvilava, Edem 1 2008 On the inverse inequalities for trigonometric polynomial approximations in weighted Lorentz spaces. Zbl 1149.42001 Ephremidze, L.; Kokilashvili, V.; Yildirir, Y. E. 5 2007 The Riesz “rising sun” lemma for arbitrary Borel measures with some applications. Zbl 1213.42067 Ephremidze, Lasha; Fujii, Nobuhiko; Terasawa, Yutaka 1 2007 On the uniqueness of the two-sided ergodic maximal function. Zbl 1105.28010 Ephremidze, Lasha 1 2005 A new computational algorithm of spectral factorization for polynomial matrix-functions. Zbl 1099.47019 Ephremidze, L.; Janashia, G.; Lagvilava, E. 2 2004 On the uniqueness of the ergodic maximal function. Zbl 1004.28010 Ephremidze, Lasha 2 2002 On the uniqueness of maximal operators for ergodic flows. Zbl 1063.37001 Ephremidze, Lasha 1 2002 The rearrangement inequality for the ergodic maximal function. Zbl 0996.28007 Ephremidze, L. 1 2001 On approximate factorization of positively definite matrix functions of second order. Zbl 0954.47021 Ephremidze, L. 1 1999 On the factorization of unitary matrix-functions. Zbl 0938.47018 Ephremidze, L.; Janashia, G.; Lagvilava, E. 5 1998 On the uniqueness of maximal functions. Zbl 0846.42012 Ephremidze, L. 1 1996 On a relationship between the integrabilities of various maximal functions. Zbl 0816.42013 Ephremidze, L. 1 1995 all cited Publications top 5 cited Publications all top 5 Cited by 91 Authors 19 Ephremidze, Lasha 12 Spitkovsky, Ilya Matvey 5 Lagvilava, Edem 4 Weisz, Ferenc 3 Adukov, Viktor Mikhaĭlovich 3 Chkadua, Otar 3 Janashia, Gigla 3 Rogosin, Sergei V. 3 Saatashvili, Aleksandre 3 Yang, Dachun 3 Yuan, Wen 2 Aykol, Canay 2 Cooklev, Todor V. 2 Dubatovskaya, Maryna Valer’evna 2 Gamkrelidze, Alexander 2 Keinert, Fritz 2 Kolev, Vasil 2 Liu, Jun 2 Lu, Jianzhong 2 Mikhailov, Sergey E. 2 Mishuris, Gennady S. 2 Mizuta, Yoshihiro 2 Natroshvili, David 2 Ohno, Takao 2 Primachuk, Leonid P. 2 Serbetci, Ayhan 2 Shargorodsky, Eugene 2 Vakarchuk, Sergei Borisovich 2 Zabutnaya, Valentina I. 2 Zeng, Dan 2 Zhou, Dejian 1 Adukova, Nataliya Viktorovna 1 Akgun, Ramazan 1 Almeida, Víctor M. 1 Alpay, Daniel Aron 1 Argerami, Martín 1 Betancor Perez, Jorge Juan 1 Bingham, Nicholas Hugh 1 Boche, Holger 1 Cakir, Zeynep 1 Câmara, Maria Cristina 1 Cao, Wenqi 1 Carro, María Jesús 1 Chu, Moody T. 1 Colombo, Fabrizio 1 Diao, Chenzhe 1 Domingo-Salazar, Carlos 1 Ediberidze, Ana 1 Fujii, Nobuhiko 1 Gerstacker, Wolfgang H. 1 Giorgadze, Grigory 1 Gmeineder, Franz 1 Gulagashvili, Gega 1 Guliyev, Vagif Sabir 1 Guven, Ali 1 Hanselka, Christoph 1 Hosoya, Yuzo 1 Jiao, Yong 1 Jones, Roger L. 1 Kucerovsky, Dan Z. 1 Kucukaslan, Abdulhamit 1 Kulak, Öznur 1 Lawton, Wayne M. 1 Lewkowicz, Izchak 1 Li, Hongliang 1 Lindquist, Anders Gunnar 1 Lu, Guanghui 1 Ma, Tao 1 Payandeh Najafabadi, Amir T. 1 Pohl, Volker 1 Poor, Harold Vincent 1 Raită, Bogdan 1 Rodman, Leiba X. 1 Rodríguez-Mesa, Lourdes 1 Rui, Li 1 Sabadini, Irene 1 Salia, Nika 1 Sawano, Yoshihiro 1 Selesnick, Ivan W. 1 Shen, Zhengwei 1 Shimomura, Tetsu 1 Sinn, Rainer 1 Soylemez, Dilek 1 Takimoto, Taro 1 Van der Woude, Jacob Willem 1 Van Schaftingen, Jean 1 Voronin, Anatoliĭ Fedorovich 1 Yan, Xianjie 1 Yu, Xiao 1 Yurt, Hasan 1 Zhuo, Ciqiang all top 5 Cited in 44 Serials 10 Transactions of A. Razmadze Mathematical Institute 5 Georgian Mathematical Journal 4 Linear Algebra and its Applications 3 Journal of Mathematical Analysis and Applications 3 Mathematical Notes 3 The Journal of Fourier Analysis and Applications 2 Journal of the Mathematical Society of Japan 2 Journal of Mathematical Sciences (New York) 2 Fractional Calculus & Applied Analysis 2 International Journal of Wavelets, Multiresolution and Information Processing 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Applicable Analysis 1 Mathematical Methods in the Applied Sciences 1 Ukrainian Mathematical Journal 1 Mathematics of Computation 1 Indiana University Mathematics Journal 1 Integral Equations and Operator Theory 1 Journal of Computational and Applied Mathematics 1 Journal of Functional Analysis 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 SIAM Journal on Control and Optimization 1 Journal of Time Series Analysis 1 Multidimensional Systems and Signal Processing 1 The Journal of Geometric Analysis 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Expositiones Mathematicae 1 Turkish Journal of Mathematics 1 Advances in Computational Mathematics 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Discrete and Continuous Dynamical Systems 1 Taiwanese Journal of Mathematics 1 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 1 Lobachevskii Journal of Mathematics 1 Journal of Function Spaces and Applications 1 Mediterranean Journal of Mathematics 1 Banach Journal of Mathematical Analysis 1 Tbilisi Mathematical Journal 1 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie 1 Probability Surveys 1 Cogent Mathematics 1 AIMS Mathematics all top 5 Cited in 24 Fields 30 Harmonic analysis on Euclidean spaces (42-XX) 25 Operator theory (47-XX) 18 Functional analysis (46-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 11 Numerical analysis (65-XX) 9 Probability theory and stochastic processes (60-XX) 8 Functions of a complex variable (30-XX) 4 Approximations and expansions (41-XX) 3 Measure and integration (28-XX) 3 Partial differential equations (35-XX) 2 Number theory (11-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Computer science (68-XX) 2 Systems theory; control (93-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year