01.01.01 (Real analysis, complex analysis, and functional analysis)
E-mail:
Biography
August 2011–January 2012 — Associate Professor, Department of Mathematics and Mathematical Statistics, Umea University, SWEDEN.
July 2009–December 2009 — Associate Professor, Department of Mathematics, Uppsala University, SWEDEN.
July 2001–October 2007 — Associate Professor, Department of Mathematics and Mathematical Statistics, Umea University, SWEDEN.
Aug 1999–June 2001 — Visiting Researcher and Lecturer, Department of Mathematics, Umea University, SWEDEN.
August 1998–July 1999 — Visiting Professor, Department of Mathematics, University of South Carolina, USA.
July 1997–June 1998 — Visiting Researcher and Lecturer, Department of Mathematics, Umea University, SWEDEN.
Aug 1996–June 1997 — Visiting Professor, Department of Mathematics, University of South Carolina, USA.
October 1994–May 1995 — Visiting Researcher, Department of Mathematics, Moscow State University, RUSSIA.
September 1979–August 1996 — Department of Mathematics, Tbilisi State University, GEORGIA, 1990–1996 — Full Professor.
November 2007–present — Associate member of A. Razmadze mathematical Institute, Tbilisi State University, Georgia.
Main publications:
On the Strong Logarithmic Summability of the Double Trigonometric Fourier Series, Acta Sci. Math. (Szeged)
77 (2011) 473-488.
Divergence in Measure of Rearranged
Multiple Orthogonal Fourier Series, Real Analysis Exchange, Vol. 34(2),
2008/2009, pp. 1-19.
On Cesaro Summability of the Fourier Series With Respect to
Double Complete Orthonormal Systems, Journal d'Analyse Mathematique, 102,
1 (2007), 209-223.
Divergence of Spherical General Terms of Double Fourier
Series, The Journal of Fourier Analysis and Applications, 102 (5) (2006), 597-604.
The Sets Of Convergence in Measure of Multiple Orthogonal
Fourier Series, J. London Math. Soc. (2) 72 (2005) 239-257.
R. D. Getsadze, “Divergence in measure of general multiple orthogonal Fourier
series”, Dokl. Akad. Nauk SSSR, 306:1 (1989), 24–25; Dokl. Math., 39:3 (1989), 430–431
R. D. Getsadze, “On divergence with respect to the measure of general multiple orthogonal Fourier series”, Trudy Mat. Inst. Steklov., 190 (1989), 75–87; Proc. Steklov Inst. Math., 190 (1992), 77–90
R. D. Getsadze, “A continuous function with multiple Fourier series in the Walsh–Paley system that diverges almost everywhere”, Mat. Sb. (N.S.), 128(170):2(10) (1985), 269–286; Math. USSR-Sb., 56:1 (1987), 262–278