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. Karagulyan

An abstract theory of singular operators | Transactions of the American Mathematical Society. 2019, 372,7, pp. 4761-4803 |

G. A. Karagulyan, G. Mnatsakanyan

On a weak type estimate for sparse operators of strong type | Известия НАН РА. Математика (Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences)). 2019, 54: 4, pp 36-44 |

G. A. Karagulyan, H. A. Mkoyan

An exponential estimate for the cubic partial sums of multiple Fourier series | Izvestiya mathematics. 2019, 83:2, pp. 83-96 |

G. Karagulyan, U. Goginava

On exponential summability of rectangular partial sums of double trigonometric Fourier series | Mathematical notes, 2018, 104:5, pp. 655-665 |

G. A. Karagulyan, D. A. Karagulyan, M. H. Safaryan

On an equivalence for differentiation bases of dyadic rectangles | Colloquium Mathematicum. 2017, 146. 2, pp. 295-307 |
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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