Prof. OTAR TSERETELI

(22.11.1926, town Akhaltsikhe - 30.04.1991, Tbilisi)






EDUCATION AND SCIENTIFIC DEGREES

1944-1949 Student of Tbilisi state University, Faculty of Physics and Mathematics.
1949 Diploma in Mathematics, Tbilisi State University.
1950-1953 Post-graduate student of Tbilisi Mathematical Institute.
1956 Ph.D. Mathematiks, Tbilisi Mathematical Institute.
1977 Doctor in Mathematics, Tbilisi Mathematical Institute.
1982 Conferred the rank of professor.




POSITIONS HELD AND ACADEMIC EXPERIENCE

1953-1956 Lecturer at the Georgian Industrial Institute.
1956-1957 Junior researcher of A.Razmadze Mathematical Institute.
1957-1985 Senior researcher of A.Razmadze Mathematical Institute.
1960-1991 Head of the Mathematics and Mechanics Faculty for Improvement of Qualification of Teachers at Tbilisi State University.
1985-1991 Head of Department of Function Theory and Functional Analysis of A. Razmadze Mathematical Institute.




RESEARCH INTERESTS

Measure theory, Harmonic analisis (Fourier series, Analytic functions, Conjugate functins.)




MEMBERSHIP IN SEIENTIFIC ACADEMIES

Corresponding Member of the Georgian Academy of Sciences, 1988.




PRIZES AND AWORDS

Honoured Science Worker of Ceorgia, 1988.




EDITORIAL ACTIVITIES

Member of Editorial Board of the journal "Trudy Tbiliss Matematicheskogo Instituta."




LEADING OF SCIENTIFIC SEMINARS

1966-1991 Founder and leader of the seminar on Function Theory at A.Razmadze Mathematical Institute.




MAIN PUBLICATIONS

  1. On one application of the theory of partially ordered spaces. Soobshch. Akad. Nauk Gruzin. SSR, 12(4), 1951, 189-191.
  2. On Riemann sums. Soobshch. Akad. Nauk Gruzin. SSR, 18(2), 1957, 137-142.
  3. On fuctions of bounded variation. Soobshch. Akad. Nauk Gruzin. SSR, 19(2), 1957, 129-134.
  4. Metric properties of functions with bounded variation. Trudy Tbiliss. Mat. Inst. Razmadze Akad. Nauk Gruzin.SSR, 26, 1959, 23-63.
  5. On the change of variables in the sign of Lebesgue integral. Trudy Tbiliss. Mat. Inst. Razmadze Akad. Nauk Gruzin.SSR, 26, 1959, 65-73.
  6. On the Banach indicatrix and some of its applications. Soobshch. Akad. Nauk Gruzin. SSR, 25(2), 1960, 129-136.
  7. On reversible measure-preserving transformations. Soobshch. Akad. Nauk Gruzin. SSR, 26(1), 1961, 3-7.
  8. On the indefinite A-integral and on Forier series (A). Soobshch. Akad. Nauk Gruzin. SSR, 29(2), 1962, 129-134.
  9. On the indefinite A-integral and Fourier series(A). Studia Math., 22, 1962, 59-83
  10. An integral analogy of Riemann theorem on conditionally convergent series. Soobshch. Akad. Nauk Gruzin. SSR, 30(4), 1963, 385-392.
  11. Fourier series and metric properties of functions. Dokl. Akad. Nauk SSSR, 151(2), 1963, 290-291.
  12. Variation of the map between measurable spaces and the Banch theorem. Trudy Tbiliss. Mat. Inst. Razmadze Akad. Nauk Gruzin.SSR, 29, 1964, 359-381.
  13. On the length of continuous path. Soobshch. Akad. Nauk Gruzin. SSR, 38(2), 1965, 263-266.
  14. Remark on a theorem of Zygmund. Soobshch. Akad. Nauk Gruzin. SSR, 42(2), 1966, 265-268.
  15. On a property of functions. Abstracts of International Congress of Mathematicians, 1966, 92-93.
  16. A certain case of summability of conjugate functions. Trudy Tbiliss. Mat. Inst. Razmadze Akad. Nauk Gruzin.SSR, 34, 1968, 155-159.
  17. On the question of the integrability of conjugate functions. Mat. Zametki, 4(4), 1968, 461-465.
  18. The interpolation of operators by the truncation method. Trudy Tbiliss. Mat. Inst. Razmadze Akad. Nauk Gruzin.SSR, 36, 1969, 11-122.
  19. The converse of some theorems of Hardy and Littlewood. Soobshch. Akad. Nauk Gruzin. SSR, 56(2), 1969, 269-271.
  20. Certain metric properties of conjugate functions. Trudy Tbiliss. Mat. Inst. Razmadze Akad. Nauk Gruzin.SSR, 38, 1970, 85-91.
  21. Almost everywhere convergence of Fourier series. Soobshch. Akad. Nauk Gruzin. SSR, 57(1), 1970, 21-24.
  22. The unconditional convergence of orthogonal series and metric properties of functions. Soobshch. Akad. Nauk Gruzin. SSR, 59(1), 1970, 21-24.
  23. The unconditional convergence of Fourier series in complete orthonormal systems. Soobshch. Akad. Nauk Gruzin. SSR, 62(1), 1971, 13-16.
  24. Remarks on conjugate functions. Soobshch. Akad. Nauk Gruzin. SSR, 63(1), 1971, 42-44.
  25. Certain problems that arise in the theory of Fourier series. Sem. Inst. Prikl. Mat. Tbiliss. Univ. Annotac. Dokladov, 6,1972, 33-36.
  26. A metric characterization of the set of functions whose maximal functions are summable. Trudy Tbiliss. Mat. Inst. Razmadze Akad. Nauk Gruzin.SSR, 42, 1972, 103-118.
  27. On the integrability of conjugate functions. Trudy Tbiliss. Mat. Inst. Razmadze Akad. Nauk Gruzin. SSR, 43, 1973, 149-168.
  28. Remarks on the theorems of Kolmogorov and F. and M. Riesz. Proc. of the Symposium on the Mechanics of the Continuous Medium and the Related Problems of Analysis, 1, 1973, 241-254.
  29. The integrability of functions that are conjugate to functions of class Lw(L). Soobshch. Akad. Nauk Gruzin. SSR, 75(3), 1974, 557-560.
  30. The Fourier coefficients of functions with a given modulus or with a given distribution function. Soobshch. Akad. Nauk Gruzin. SSR, 76(1), 1974, 21-24.
  31. Metric characterization of the class of functions whose conjugate are integrable. Soobshch. Akad. Nauk Gruzin. SSR, 81(2), 1976, 281-283.
  32. On some properties of inner analytic functions. Soobshch. Akad. Nauk Gruzin. SSR, 82(2), 1976, 313-316.36
  33. Metric properties of conjugate functions. J. of Soviet Math. 7, 1977, 317-343.
  34. On conjugate functions. Mat. Zametki, 22(5), 1977, 771-783.
  35. On some properties of inner analytic functions. Trudy Tbiliss. Mat. Inst. Razmadze Akad. Nauk Gruzin.SSR, 45, 1980, 131-142.
  36. Some integral properties of a conjugacy operator. Trudy Tbiliss. Mat. Inst. Razmadze Akad. Nauk Gruzin.SSR, 69, 1982, 129-153.
  37. On the distribution function of the conjugate function. ICM, Warshawa, 1982, Sort Comunications, p.28
  38. On the ergodic properties of the boundary values of Schwartz integral of a Borel measure. Trudy Tbiliss. Mat. Inst. Razmadze Akad. Nauk Gruzin.SSR, 76, 1985, 130-150.
  39. On the A-integrability of values of operators commuting with shift operators. Sem. Inst. Prikl. Mat. Dokl. vol.1 No.2, 1985, 170-174.
  40. On the integrability of values of operators commuting with shift operators. Trudy Tbiliss. Mat. Inst. Razmadze Akad. Nauk Gruzin.SSR, 82, 1986, 147-164.
  41. On the distribution function of the conjugate function of a non-negative Borel measure. Trudy Tbiliss. Mat. Inst. Razmadze Akad. Nauk Gruzin.SSR, 89, 1988, 60-82.
  42. On the symmetry property of the conjugate function of a non-negative Borel measuare. Sem. Inst. Prikl. Mat. Dokl. vol.3 No.2, 1988, 81-84.
  43. On the symmetry property of the conjugate function of a non-negative Borel measuare. Proc. Razmadze Math. Inst., 101, 1992, 65-72.
  44. On the distribution function of the Hilbert transform of a non-negative Borel measuare. Soobshch. Akad. Nauk Gruzin. SSR, 145(1), 1992, 29-32.