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Author

Lasha Ephremidze

Observed names: Ephremidze, L., Ephremidze, Lasha, L Ephremidze, L. Ephremidze, LASHA EPHREMIDZE, Lasha EPHREMIDZE
Observed institutions: Tbilisi State University, New York University Abu Dhabi, Tokai University, Georgian National Academy of Sciences, Kutaisi International University, International Black Sea University, New York University
ORCID: 0000-0002-1000-3841
Observed ORCID: 0000-0002-1000-3841
OpenAlex ID: A5055776599
A New Method of Matrix Spectral Factorization
2011 · G Janashia, E Lagvilava, et al. · IEEE Transactions on Information Theory · 44
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Fractional, Maximal and Singular Operators in Variable Exponent Lorentz Spaces
2008 · Ephremidze, Lasha, Kokilashvili, Vakhtang, et al. · arXiv (Cornell University) · 32
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On the Algorithmization of Janashia-Lagvilava Matrix Spectral Factorization Method
2017 · Lasha Ephremidze, Faisal Saied, et al. · IEEE Transactions on Information Theory · 28
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A Simple Proof of the Matrix-Valued Fejér-Riesz Theorem
2008 · Lasha Ephremidze, Gigla Janashia, et al. · Journal of Fourier Analysis and Applications · 23
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An elementary proof of the polynomial matrix spectral factorization theorem
2014 · Lasha Ephremidze · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 20
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On Approximate Spectral Factorization of Matrix Functions
2011 · Lasha Ephremidze, Gigla Janashia, et al. · Journal of Fourier Analysis and Applications · 14
On explicit Wiener–Hopf factorization of 2 × 2 matrices in a vicinity of a given matrix
2020 · L. Ephremidze, I. Spitkovsky · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences · 12
On Compact Wavelet Matrices of Rank $$m$$ m and of Order and Degree $$N$$ N
2014 · Lasha Ephremidze, Edem Lagvilava · Journal of Fourier Analysis and Applications · 11
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An Analytic Proof of the Matrix Spectral Factorization Theorem
2008 · Lasha Ephremidze, Gigla Janashia, et al. · Georgian Mathematical Journal · 11
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A new efficient matrix spectral factorization algorithm
2007 · Lasha Ephremidze, Gigla Janashia, et al. · SICE Annual Conference (SICE) · 9
Matrix spectral factorization and wavelets
2013 · G. Janashia, E. Lagvilava, et al. · Journal of Mathematical Sciences · 8
On the uniqueness of the ergodic maximal function
2002 · Lasha Ephremidze · Fundamenta Mathematicae · 8
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A remark on a polynomial matrix factorization theorem
2012 · Lasha Ephremidze, Ilya M. Spitkovsky · Georgian Mathematical Journal · 6
On the Uniqueness of Maximal Functions
1996 · L. Ephremidze · Georgian Mathematical Journal · 5
On the generalization of the Janashia–Lagvilava method for arbitrary fields
2022 · Lasha Ephremidze, Ilya Spitkovsky · Georgian Mathematical Journal · 4
Exponential Speedup of the Janashia-Lagvilava Matrix Spectral Factorization Algorithm
2025 · Wang, Ying, Ephremidze, Lasha, et al. · arXiv (Cornell University) · 3
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On multivariable matrix spectral factorization method
2022 · Lasha Ephremidze, Ilya M. Spitkovsky · Journal of Mathematical Analysis and Applications · 3
An algorithm for J-spectral factorization of certain matrix functions
2021 · Lasha Ephremidze, Ilya Spitkovsky · IEEE Conference on Decision and Control (CDC) · 3
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On the uniqueness of maximal operators for ergodic flows
2002 · Lasha Ephremidze · Revista Matemática Complutense · 3
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On non-optimal spectral factorizations
2017 · Lasha Ephremidze, Ivan Selesnick, et al. · Georgian Mathematical Journal · 2
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Rank-deficient spectral factorization and wavelets completion problem
2015 · L. Ephremidze, I. Spitkovsky, et al. · International Journal of Wavelets Multiresolution and Information Processing · 2
Numerical comparison of different algorithms for construction of wavelet matrices
2013 · Nika Salia, Alexander Gamkrelidze, et al. · IEEE International Black Sea Conference on Communications and Networking · 2
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An approximation of Daubechies wavelet matrices by perfect reconstruction filter banks with rational coefficients
2011 · L. Ephremidze, A. Gamkrelidze, et al. · Advances in Computational Mathematics · 2
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The Riesz “rising sun” lemma for arbitrary Borel measures with some applications
2007 · Lasha Ephremidze, Nobuhiko Fujii, et al. · Journal of Function Spaces · 2
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The Stein–Weiss theorem for the ergodic Hilbert transform
2004 · Lasha Ephremidze · Studia Mathematica · 2
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Works count: 57
Citation count: 272
H-index: 9
I10-index: 9
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