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Full Name
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Ephremidze Lasha
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| Address | |
| A.Razmadze Mathematical Institute Georgian Academy of Sciences 0193, M.Aleksidze 1, Tbilisi GEORGIA | |
| Phone | |
| 995+99+938115 | |
| Fax | |
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E-mail
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| Web Page | |
| Date Of Birth | |
| 1965-10-29 | |
| Education | |
| Tbilisi State University | |
| Position | |
| Leading Scientific Researcher of A.Razmadze mathematical Institute | |
| Publications | |
| · The Riesz “rising sun” lemma for arbitrary Borel measures with some applications. (with N. Fujii and Yu. Terasawa) (submitted) · On the generalization of the Riesz-Zygmund theorem for the ergodic Hilbert transform. (with R.Sato) (submitted) ·.On the boundedness of the ergodic Hilbert transform in Lorentz spaces. (with T.Sobukawa) Proc. A. Razmadze Math. Inst. 140 (2006), 160-161 · A weighted ergodic maximal equality for nonsingular semiflows. (with R.Sato) Colloq. Math. 103 (2005), 207-213 · On the uniqueness of the two-sided ergodic maximal function. Georgian Math. J. 12 (2005), No.1 , 45-52 · A new computational algorithm of spectral factorization for polynomial matrix-functions. (with G. Janashia and E. Lagvilava) Proc. A. Razmadze Math. Inst. 134 (2005), 137-142 · The Stein-Weiss theorem for the ergodic Hilbert transform . Studia Math. 165, No.1, (2004), 61-71 · A new proof of the Ergodic Maximal Equality. Real Anal. Exchange, 29 (2003/04), 1-4 · The generalization of Stein-Weiss Theorem for the ergodic Hilbert transform. Studia Math. 155 (2003), No. 1. 67-75 · On the Ergodic Maximal Equality. Proc. A. Razmadze Math. Inst. 132 (2003), 89-92 · On a relationship between the integrabilities of various ergodic maximal functions. Proc. A. Razmadze Math. Inst. 132 (2003), 141-142 · On the uniqueness of the ergodic maximal function. Fund. Math. 174 (2002), No. 3, 217- 228 · On the uniqueness of maximal operators for ergodic flows. Rev. Mat. Complut. 15 (2002), No. 1, 75-84 · A new multivariate spectral factorization algorithm. (with G. Janashia and E. Lagvilava.) First SIAM-EMS Conference “Applied Mathematics in our Changing World”, Collection of Abstracts, Berlin, 2001, p.61 · The rearrangement inequality for the ergodic maximal function. Georgian Math. J. 8 (2001), No. 4, 727-732 · On approximate factorization of positive definite matrix functions. (with G. Janashia and E. Lagvilava) (Russian) Usp. Mat. Nauk 54 (1999), No. 6, 161-162 · On approximate factorization of positive definite matrix functions of second order. Proc. A. Razmadze Math. Inst. 120 (1999), 49-56 · On reverse weak (1,1) type inequalities for the maximal operators with respect to arbitrary measures. Real Anal. Exchange 24 (1998/9), No. 2, 761-764 · On the factorization of unitary matrix-functions. (with G. Janashia and E. Lagvilava) Proc. A. Razmadze Math. Inst. 116 (1998), 101-106 · On reverse weak (1.1) inequalities for the maximal operators with respect to arbitrary measures. Proc. A. Razmadze Math. Inst. 117 (1998), 119-120 · On the integrability of the ergodic Hilbert transform for a class of functions with equal absolute values. Georgian Math. J. 5 (1998), No. 2, 101-106 · On approximate factorization of the spectral measures of stationary processes. Proc A. Razmadze Math. Inst. Georgian Acad. Sci. 114 (1997), 35-38 · Uniqueness theorem for maximal functions. Georgian Math. J. 3 (1996), No. 1, 49-52 · On a relationship between the integrabilities of various maximal functions. Georgian Math. J. 2 (1995), No. 1, 9-20 · On a relationship between the integrabilities of various maximal functions. Rep. Sem. Appl. Math. Inst. 9 (1994), No. 1-3, 22-23 · On the integrability of the ergodic maximal function. Proc. A. Razmadze Math. Inst. Georgian Acad. Sci. 102 (1993), 29-40 · A remark on a theorem of Atkinson. Proc. A. Razmadze Math. Inst. Georgian Acad. Sci. 101 (1992), 39-45 · A new proof of a theorem of Atkinson. Rep. Sem. Appl. Math. Inst. 7 (1992), No. 2, 63-64 · On the distribution function of the majorant of ergodic means. Studia Math. 103 (1992), No. 1, 1-15 · On the integrability of the ergodic maximal function. Soobshch. Akad. Nauk Gruz. SSR 139 (1990), No. 1, 49-51 · On the majorant of ergodic means (continuous case). (Russian) Trudy Tbiliss. Mat. Inst. Razmadze Akad. Nauk Gruz. SSR 98 (1990), 112-124 · On the majorant of ergodic means. (Russian) Usp. Mat. Nauk 45 (1990), No. 2 (272), 223-224 · On the convergence of Fourier-Walsh series in the space L. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze Akad. Nauk Gruz. SSR 95 (1989), 71-80 · On the distribution function of the majorant of ergodic means. (Russian) Seminar Inst. Prikl. Mat. Tbilis. Univ. 3 (1988), No. 2, 89-92 · On the convergence of Fourier series in L. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze Akad. Nauk Gruz. SSR 89 (1988), 83-94 · On the convergence of Fourier-Walsh series in the space L. (Russian) Soobshch. Acad. Nauk. Gruz. SSR 130 (1988), No.2, 249-251 · On the convergence of Fourier series in the space L. (Russian) Soobshch. Acad. Nauk. Gruz. SSR 126 (1988), No.3, 481-483 | |
| Conferences,contacts,other scientific and educational activities | |
| Talks at Conferences: 2005, Meeting of Japanese Mathematical Society, Tokyo, 27-30 March 2002, Spring School on Nonlinear Analysis, Prague, Czech Republic, 17-22 July 2002, The 26-th Summer Symposium in Real Analysis, Lexington, USA, 25-29 June 2001, First SIAM-EMS Conference “Applied Mathematics in our Changing World”, Berlin, 2-6 September 1990, Summer school on dynamic systems, Samos, Greece, 28 July-15 August 1989, Function theory seminar, Banach Center, Poland, 22 October-9 November 1989, The fifth international conference on probability theory and statistics, Vilnius, 26 June-1 July | |
| Participation in Grant Projects | |
| Grants and Fellowships: 2005-2007 Fellowship of Japanese Society of Promotion of Science 2004-2005 Fellowship of The Matsumae International Foundation (Japan) 2004-CNR-NATO grant of Italy No. 217.35 S. 1997-2006, Grant of the Georgian Academy of Sciences No. 1.1 1998-2000, 2004-2005 Grant of the President of Georgia | |
| Languages | |
| Georgian, Russian, English | |
| Scientific interests | |
| : Harmonic Analysis, Dynamical Systems and Ergodic Theory, Spectral Factorization | |
| Current scientific activities | |
| Spectral Factorization Algorithm | |
| Future work plans | |
| Development of Spectral Factorization Algorithm | |
| Department | |
| Theoretical Foundations in Mathematics |