Grigori A. Karagulyan
Biography
Education
1979 - 1984: Faculty of Mathematics and mechanics, Yerevan State University
1984 - 1987: PhD:Institute of Mathematics of Armenian NAN

Academic degree
Candidate of Physical and Mathematical Sciences
Candidate thesis: “On the convergence of orthogonal series”, Institute of Mathematics of Armenian NAN, 1988
Doctor of Physical and Mathematical Sciences
Doctoral thesis: “ On the convergence and summability of trigonometric and general orthogonal series”, V.A. Steklov Mathematical Institute, Moscow, 2002

Professional experience
From 2014 to date: Head of Department of Real Analysis, Institute of Mathematics of Armenian National Academy of Sciences
From 2006 to date: Associate Professor, Yerevan State University, Faculty of Mathematics and Mechanics
2002 - 2014: Leader Researcher, Institute of Mathematics of Armenian National Academy of Sciences
2006 - 2008: Associate Professor, College of Sciences, King Saud University,Saudi Arabia
2000 - 2006: Associate Professor , Yerevan State University, faculty of Informatics and Applied Mathematics
1993 - 2002: Senior Scientific Researcher, Institute of Mathematics, Armenian National Academy of Sciences
1988 - 1993: Junior Scientific Researcher, Institute of Mathematics, Armenian National Academy of Sciences

Academic courses
General Courses: Mathematical Analysis, Real Analysis, Functional Analysis, Measure Theory
Special Courses: Trigonometric Series, Orthogonal Series, Hardy Spaces, Uniform distribution of sequences

Scale of professional interests
Trigonometric Series, General Orthogonal Series, Maximal Functions, Singular Integrals, Hilbert transform, Random Series, Approximation by Riemann sums

Languages
Armenian, Russian, English

Awards received
1994: Soros award

Grigori A. Karagulyan

Professor | Faculty of Mathematics and Mechanics - Chair of Mathematical Analysis
 
 

Article

G. A. Karagulian

On everywhere divergence of Ф-means of Fourier series | Math. Notes, 2006, vol. 80, No 1-2, 47-56

G. A. Karagulyan

Maximal functions and lacunary sets | International Conference of Approximation Theory dedicated to 100-anniversary of S. M. Nikolski, Moscow, 2005, May 22-28

G. A. Karagulyan

Basis of rectangles and differentiation of integrals | Thesises of International Conference of Harmonic Analysis and Approximations III, Armenia, Tsahchadzor, 2005, September 20-27

G. A. Karagulian, M.T.Lacey

An estimate of the maximal operators associated with generalized lacunary sets | Journal of Contemporary Math. Anal., 2004, Vol. 39, No 1, 73-83

G. A. Karagulian

On exponential estimates of Calderon-Zygmund operators and related problems of Fourier series | Math. Notes, 2002, Vol. 71, No 3, 1-14
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Thesis

Karagulyan G.

On the divergence sets of Walsh-Fourier series of continuous functions | Abstracs of Reports of International Conference dedicated to the 80th anniversary of Levan Zhizhiashvili “Fourier Analysis and Approximation Theory”. Bazaleti, Georgia, 23-28 October, 2013

G. A. Karagulyan, M. Lacey

On Estimates of Maximal Operators along directionl and High dimentional Littlewood-Paley inequalities | Thesises of International Conference Mathematics in Armenia, Armenia, Tsahchadzor, 2003, September 30-October 7

S. Sh. Galstyan, G. A. Karagulyan

On almost everywhere divergence of regular partial sums of multiple Fourier series of bounded functions | Theorey of Functions and Applications, Collection of Works Dedicated to the memory of M.M.Djrbashian, 1995, 47-48

G. A. Karagulyan

On the averaging processes of the functions of bounded variation | Acta Math. Hung., 48(1986), No 3-4, 299-300