info@viam.science.tsu.ge (+995 32) 2 30 30 40 (+995 32) 2 18 66 45

Ushangi Goginava

  • Functional Analysis and Applications Department
    Head / Senior Researcher
  • Office: room 364, University str.11, 0186 Tbilisi, Georgia
  • Phone: 599501983
  • E-mail: zazagoginava@gmail.com
  • Research fields: Harmonic Analysis

Summary

Professional Activity :

01/01/2006 - up to date
TSU Faculty of Exact and Natural Sciences Full Professor
01/01/2001 - 31/12/2006
TSU Faculty of Exact and Natural Sciences Professor
01/01/1997 - 31/12/2001
Sokhumi University Docent
01/01/1994 - 31/12/1997
Sokhumi University Titcher

Education :

1996 - 1996
Iv. Javakhishvili Tbilisi State University Matematical Analysis Ph.D.
1987 - 1993
Iv. Javakhishvili Tbilisi State University Mathematica Bachelor's Degree

Awards :

Scholarship Stipend of President 1998-2006

Additional Information :

2005 - up to date
Antarctica Journal of Mathematics Associate Editors
2005 - up to date
4. Georgian International Journal of Science and Technology Associate Editors
2004 - up to date
World Applied Sciences Journal (kanada) Associate Editors
2003 - up to date
Acta Mathematica Academia Peadagogicae Nyiregyhaziensis Editor

Google Scholar Citations 1421, h-index 21; Scopus Citations 735, h-index 14; Web of Science Citations 530

Talks

  • Matrix summability of Walsh-Fourier series, by Ushangi Goginava (Speaker) at XXXVI International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhisvili Tbilisi State University, Tbilisi, Georgia, 19-21 April, 2022.
  • Matrix summability of Walsh-Fourier series, by Ushangi Goginava (Speaker) at The Fourth AUS Workshop on Analysis and Its Applications, Sharjah, United Arab Emirates, 19 March, 2022.
  • On the divergence of subsequence of partial Walsh-Fourier sums, by Ushangi Goginava (Speaker), Giorgi Oniani at XXXIV International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhisvili Tbilisi State University, Tbilisi, Georgia, 17-19 September, 2020.
  • Basic harmonic analysis, by Ushangi Goginava (Speaker) at .Summer School on Dyadic Harmonic Analysis, Martingales and Paraproducts, Bazaleti, Georgia, 02-06 September, 2019.
  • Subsequences of logarithmic means of Walsh-Fourier series, by Ushangi Goginava (Speaker) at Harmonic analysis and approximations, VII, Dedicated to 90th Anniversary of Alexandr Talalyan, Tsaghkadzor, Armenia, 16-22 September, 2018.
  • Convergence in measure of Fejer means of two parameter conjugate Walsh transforms, by Ushangi Goginava (Speaker) at XXXII International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhisvili Tbilisi State University, Tbilisi, Georgia, 18-20 April, 2018.
  • On Strong summability of double Fourier series, by Ushangi Goginava (Speaker) at The International Conference in Functional Analysis dedicated to the 125th anniversary of Stefan Banach, Lviv, Ukraine, 18-23 September, 2017.
  • Norm convergence of logarithmic means on unbounded Vilenkin group, by Ushangi Goginava (Speaker) at XXXI International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhisvili Tbilisi State University, Tbilisi, Georgia, 19-21 April, 2017.
  • Almost everywhere exponential summability of cubic partial sums of D-dimensional Walsh-Fourier series, by Ushangi Goginava (Speaker) at XXX International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhisvili Tbilisi State University, Tbilisi, Georgia, 20-22 April, 2016.

Publications

  • Ushangi Goginava, Károly Nagy, Some properties of the Walsh-Nörlund means, Quaestiones Mathematicae, 1-34, Taylor & Francis, 2022.
  • Ushangi Goginava, Aleksandre Saatashvili, Conjugate transforms on dyadic group, Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 56 (1), 9–22, Allerton Press, 2021.
  • Ushangi Goginava, Salem Ben Said, Maximal summability operators on the dyadic hardy spaces, Filomat, 35 (7), 2189-2208, Published by Faculty of Sciences and Mathematics, University of Nis, Serbia, 2021.
  • Ushangi Goginava, Salem Ben Said, Convergence in measure of Fejér means of two parameter conjugate Walsh transforms, Math. Inequal. Appl., 24 (1), 115-128, Publishing House Element d.o.o., 2021.
  • Ushangi Goginava, Giorgi Oniani, On the divergence of subsequences of partial Walsh-Fourier sums, Journal of Mathematical Analysis and Applications, 497 (2), 124900, Elsevier, 2021.
  • Ushangi Goginava, Almost everywhere strong C, 1, 0 summability of 2-dimensional trigonometric Fourier series, Indian Journal of Pure and Applied Mathematics, 51 (3), 1181-1194, Indian National Science Academy, 2020.
  • Ushangi Goginava, Giorgi Oniani, On the almost everywhere convergence of multiple Fourier series of square summable functions, Publicationes Mathematicae Debrecen, 97 (3-4), 313–320, Published by the Institute of Mathematics, University of Debrecen, 2020.
  • Ushangi Goginava, György Gát, Pointwise strong summability of Vilenkin–Fourier series, Mathematical Notes, 108 (3), 499-510, Pleiades Publishing, 2020.
  • Ushangi Goginava, Strong Summability of Two-Dimensional Vilenkin–Fourier Series, Ukrainian Mathematical Journal, 71 (3), 387-401, Springer US, 2019.
  • Ushangi Goginava, Logarithmic means of Walsh-Fourier series, Miskolc Mathematical Notes, 20 (1), 255–270, Miskolc University Press, 2019.
  • György Gát, Ushangi Goginava, Convergence of a Subsequence of Triangular Partial Sums of Double Walsh-Fourier Series, Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 54 (4), 210-215, Allerton Press, 2019.
  • Ushangi Goginava, György Gát, Maximal operators of Cesàro means with varying parameters of Walsh–Fourier series, Acta Mathematica Hungarica, 159 (2), 653–668, Akadémiai Kiadó, 2019.
  • Ushangi Goginava, Subsequences of spherical sums of double Walsh-Fourier series, Nonlinear Studies, 26 (4), 821-830, Cambridge Scientific Publishers, 2019.
  • Ushangi Goginava, Grigori Karagulyan, On Exponential Summability of Rectangular Partial Sums of Double Trigonometric Fourier Series, Mathematical Notes, 104 (5), 667–679, Pleiades Publishing, 2018.
  • Ushangi Goginava, Almost Everywhere Convergence of Strong Nörlund Logarithmic Means of Walsh-Fourier Series, Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 53 (5), 281-287, Allerton Press, 2018.
  • György Gát, Ushangi Goginava, Norm convergence of logarithmic means on unbounded Vilenkin groups, Banach Journal of Mathematical Analysis, 12 (2), 422-438, Tusi Mathematical Research Group, 2018.
  • Ushangi Goginava, Almost Everywhere Strong Summability of Fejer means of rectangular partial sums of two-dimensional Walsh-Fourier Series, Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences) 53 (2), 100-112, Allerton Press, 2018.
  • György Gát, Ushangi Goginava, Subsequences of triangular partial sums of double fourier series on unbounded Vilenkin groups, Filomat, 32 (11), 3769-3778, Published by Faculty of Sciences and Mathematics, University of Nis, Serbia, 2018.
  • György Gát, Ushangi Goginava, Almost Everywhere Convergence of Subsequence of Quadratic Partial Sums of Two-Dimensional Walsh–Fourier Series, Analysis Mathematica, 44 (1), 73-88, Springer International Publishing, 2018.
  • György Gát, Ushangi Goginava, Norm convergence of double Fourier series on unbounded Vilenkin groups, Acta Mathematica Hungarica, 152 (1), 201-216, Springer Netherlands, 2017.
  • Ushangi Goginava, Pointwise convergence of Marcinkiewicz-Fejér means of double Vilenkin-Fourier series, Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 52 (5), 242–253, Allerton Press, 2017.
  • Ushangi Goginava, Almost everywhere strong summability of cubic partial sums of d-dimensional Walsh-Fourier series, Mathematical Inequalities & Applications, 20 (4), 1051-1066, Element d.o.o., 2017.
  • Ushangi Goginava, Károly Nagy, Weak type inequality for the maximal operator of walsh-kaczmarz-marcinkiewicz means, Acta Mathematica Scientia, 36 (2), 359-370, Elsevier, 2016.
  • Ushangi Goginava, Almost Everywhere Strong Summability of two-dimensional Walsh-Fourier Series, Acta Math. Acad. Paedagog. Nyházi. (N.S.), 32 (2), 233-246, University of Nyíregyháza, 2016.
  • György Gát, Ushangi Goginava, Almost everywhere convergence of dyadic triangular-Fejér means of two-dimensional Walsh-Fourier series, Mathematical Inequalities & Applications, 19 (2), 401-415, Element d.o.o., 2016.
  • Ushangi Goginava, Károly Nagy, Strong approximation by Marcinkiewicz means of two-dimensional Walsh–Kaczmarz–Fourier series, Analysis Mathematica, 42 (2), 143–157, Springer International Publishing, 2016.
  • Ushangi Goginava, Leri Gogoladze, Convergence in norm of logarithmic means of multiple Fourier series, Math. Inequal. Appl., 18 (3), 859--867, Publishing House Element d.o.o., 2015.
  • Ushangi Goginava, Artur Sahakian, Convergence of Multiple Fourier Series of Functions of Bounded Generalized Variation, Ukrainian Mathematical Journal, 67 (2), 186–198, The Institute of Mathematics of the National Academy of Sciences of Ukraine, 2015.
  • György Gát, Ushangi Goginava, Grigori Karagulyan, On everywhere divergence of the strong Φ-means of Walsh–Fourier series, Journal of Mathematical Analysis and Applications, 421 (1), 206-214, Elsevier, 2015.
  • György Gát, Ushangi Goginava, Almost everywhere strong summability of double Walsh-Fourier series, Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 50 (1), 1-13, Allerton Press, 2015.
  • Ushangi Goginava, Károly Nagy, The two-dimensional Fejér means on diagonal Hardy space, Periodica Mathematica Hungarica, 70 (2), 248-256, Springer Netherlands, 2015.
  • Ushangi Goginava, Artur Sahakian, On the convergence and summability of double Walsh-Fourier series of functions of bounded generalized variation, Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 49 (6), 321–333, Allerton Press, 2014.
  • György Gát, Ushangi Goginava, Grigori Karagulyan, Almost everywhere strong summability of Marcinkiewicz means of double Walsh-Fourier series, Analysis Mathematica, 40 (4), 243-266, Akadémiai Kiadó, Budapest, Hungary, 2014.
  • György Gát, Ushangi Goginava, Triangular Fejer Summability of Two-Dimensional Walsh-Fourier series, Analysis Mathematica, 40 (2), 83-104, Akadémiai Kiadó, Budapest, Hungary, 2014.
  • Ushangi Goginava, Leri Gogoladze, Convergence in measure of logarithmic means of multiple Fourier series, Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 49 (2), 70-77, Allerton Press, 2014.
  • Ushangi Goginava, Leri Gogoladze, Convergence in Measure of Strong logarithmic means of double Fourier series, Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 49 (3), 109-116, Allerton Press, 2014.
  • Ushangi Goginava, Convergence of logarithmic means of quadratic partial sums of double Fourier series, Colloquium Mathematicum, 131, 99-112, Polish Academy of Sciences, 2013.
  • Ushangi Goginava, Uniform Convergence of Double Fourier-Legendre series of Functions of Bounded Generalized Variation, Bulletin of TICMI, 16 (2), 1-20, Tbilisi University Press, 2012.
  • Ushangi Goginava, The weak type inequality for the two-dimensional diagonal Sunouchi operator on Hardy space, Georgian Mathematical Journal, 18 (1), 67-81, De Gruyter, 2011.