Edem  Lagvilava

(28.VI.1948 - 21.III.2022)


 

Education and Scientific Degree:

1966 - 1968 Student of Tbilisi State University, Faculty of Mechanics and Mathematics
1968 - 1972 Student of Moscow State University, Faculty of Mechanics and Mathematics
June, 1972 Diploma in Mathematics

 

Languages:

Georgian, Russian, English

 

Positions Held and Academic Experience:

1972 - 1974 Laborant of the Department of Mathematical Physics of A. Razmadze 
Mathematical Institute of Georgian Academy of Sciences
1977 - 1978 Senior Laborant of the same department
1978 - 1986 Junior Researcher of the same department
1986 - Researcher of the same department

 


Research Areas:

Factorization problems of matrix-functions;
Boundary problems for analytical functions

 

List of Main Publications

  1. On the factorization of matrix-functions. (Russian) Soobshch. Akad. Nauk Gruz. SSR 89(1978), No. 2, 317-319.
  2. On factorization and partial indices of unitary matrix-functions of one class (with G. Janashia). Georgian Math. J. 4(1997), No. 5, 439-442.
  3. On the factorization of unitary matrix-functions (with L. Ephremidze and G. Janashia). Proc. A. Razmadze Math. Inst. 116(1998), 101-106.
  4. A method of approximate factorization of positive definite matrix functions (with G. Janashia). Studia Math. 137(1999), No. 1, 93-100.
  5. On approximate factorization of positively definite matrix-functions (with G. Janashia and L. Ephremidze). (Russian) Uspekhi Mat. Nauk 54 (1999), no. 6(330), 161-162; translation in Russian Math. Surveys 54 (1999), No. 6, 1246-1247.
  6. A new computational algorithm of spectral factorization for polynomial matrix-functions (with L. Ephremidze and G. Janashia). Proc. A. Razmadze Math. Inst. 136 (2004), 41-46. 
  7. On parametrization of compact wavelet matrices (with L. Ephremidze). Bull. Georgian Natl. Acad. Sci. (N.S.) 2 (2008), no. 4, 23-28.
  8. An analytic proof of the matrix spectral factorization theorem (with L. Ephremidze and G. Janashia). Georgian Math. J. 15 (2008), no. 2, 241-249. 
  9. A simple proof of the matrix-valued Fejér-Riesz theorem (with L. Ephremidze and G. Janashia). J. Fourier Anal. Appl. 15 (2009), no. 1, 124-127. 
  10. Remark on outer analytic matrix-functions (with L. Ephremidze). Proc. A. Razmadze Math. Inst. 152 (2010), 29-32. 
  11. On spectral factorization of matrix functions (with L. Ephremidze and G. Janashia). Rep. Enlarged Sess. Semin. I. Vekua Appl. Math. 25 (2011), 34-38. 
  12. On approximate spectral factorization of matrix functions (with L. Ephremidze and G. Janashia). J. Fourier Anal. Appl. 17 (2011), no. 5, 976-990. 
  13. A new method of matrix spectral factorization (with L. Ephremidze and G. Janashia). IEEE Trans. Inform. Theory 57 (2011), no. 4, 2318-2326.
  14. Matrix spectral factorization and wavelets (with L. Ephremidze and G. Janashia). J. Math. Sci. (N.Y.) 195 (2013), no. 4, 445-454; Translated from Sovrem. Mat. Prilozh., Vol. 83, 2012.  
  15. An approximation of Daubechies wavelet matrices by perfect reconstruction filter banks with rational coefficients (with L. Ephremidze and A. Gamkrelidze). Adv. Comput. Math. 38 (2013), no. 1, 147-158. 
  16. On compact wavelet matrices of rank $m$ and of order and degree $N$ (with L. Ephremidze). J. Fourier Anal. Appl. 20 (2014), no. 2, 401-420. 
  17. Rank-deficient spectral factorization and wavelets completion problem (with L. Ephremidze and L. Spitkovsky). Int. J. Wavelets Multiresolut. Inf. Process. 13 (2015), no. 3, 1550013, 9 pp.