Gegham  G. Gevorgyan
Biography
YSU Vice Rector on Scientific Policy and International Cooperation, Academician of NAS RA, Doctor of Physical and Mathematical Sciences, Professor

Education
1975-1980 B. Sc.: Faculty of Mathematics and Mechanics, Yerevan State University

Academic degree
Candidate of Physical and Mathematical Sciences Candidate thesis: “Representation and Uniqueness of Representation of Measurable Functions by Orthogonal Series and Martingales”, Institute of Mathematics of Armenian National Academy of Sciences, 1982
Doctor of Physical and Mathematical Sciences
Doctoral thesis: “The Problems of Convergence and Uniqueness of Trigonometric and Franklin Series”, Steklov Mathematical Institute, Moscow,1992

Professional experience
From 2010: Academician of NAS RA
From 2008 to date Vice Rector for Scientific Policy and International Cooperation, Yerevan State University
2004 - 2008: Dean of Faculty of Mathematics and Mechanics, Yerevan State University
1997 - 2004: Head of Department of Mathematical Analysis, Yerevan State University
1992 - 1997: Professor, Yerevan State University
1984 - 1992: Docent, Yerevan State University
1980 - 1984: Head of educational laboratory, Yerevan State University
Etvos University, Budapest, Hungary: November 1987 - July 1988
Steklov Mathematical Institute, Moscow: 1989 September - October
Institute of Mathematics of Polish Academy of Sciences: 1997 April - May
Institute of Mathematics of Polish Academy of Sciences: 2002 January
Institute of Mathematics of Polish Academy of Sciences: 2005 April
Institute of Mathematics of Polish Academy of Sciences: 2006 February

Academic courses
Numerical Analysis
Mathematical Analysis
Optimal Control Theory
Real Analysis
The Moment's Problem
Orthogonal Series
Trigonometric Series

Scale of professional interests
Real Analysis
Harmonic Analysis
Orthogonal Series

Participation in grant projects
International Scientific Fund: 1993
ANSEF: 2002

Languages
Armenian, Russian, English

Professional membership
Head of the Scientific Council in Mathematics at Yerevan State University
Member of the Board of Journal of Contemporary Mathematical Analysis
Member of the Board of Journal “Proceedings of YSU”
Member of the Board of NFSAT
Member of the Board of Fund “Research Mathematics”

Awards received
“Anania Shirakaci” Medal: 2009
Prize of allarmenian fund “Hayastan”: 1994

ggg@ysu.am
(+374 10) 55-47-02

Gegham G. Gevorgyan

NAS RA Academician, Professor | Faculty of Mathematics and Mechanics - Chair of Mathematical Analysis
Vice-rector | YSU
 
 

Book

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Մաթեմատիկական անալիզի խնդրագիրք. Մաս 1 | Ուս. ձեռնարկ: 4-րդ լրամշ. հրատ., մաս 1, Երևան, ԵՊՀ հրատ., 2014, 266 էջ |

Գ.Գ. Գևորգյան, Լ.Հ.Գալստյան, Ա.Կ.Թասլաքյան, Գ.Վ.Միքայելյան, Կ.Ա.Նավասարդյան

Մաթեմատիկական անալիզի խնդրագիրք. Մաս 2 | Ուս. ձեռնարկ: 4-րդ լրամշ. հրատ., մաս 2, Երևան, ԵՊՀ հրատ., 2014, 265 էջ |

Գ.Գ. Գևորգյան, Լ.Հ.Գալստյան, Ա.Կ.Թասլաքյան, Գ.Վ.Միքայելյան, Կ.Ա.Նավասարդյան

Մաթեմատիկական անալիզի խնդրագիրք | մաս I և II, Երևան, ԵՊՀ հրատարակչություն, 2014թ., 265 էջ, 263 էջ: Չորրորդ լրամշակված հրատարակություն

Գ. Գ. Գևորգյան, Ա. Ա. Սահակյան

Հանրահաշիվ և մաթեմատիկական անալիզի տարրեր | 12-րդ դասարանի համար, «Էդիթ պրինտ», Երևան, 2011

Գ. Գ. Գևորգյան, Ա. Ա. Սահակյան

Հանրահաշիվ և մաթեմատիկական անալիզի տարրեր | 10-րդ դասարանի համար, «Էդիթ պրինտ», Երևան, 2009

Գ.Գ. Գևորգյան, Լ.Հ. Գալստյան, Ա.Կ. Թասլաքյան, Գ.Վ. Միքայելյան, Կ.Ա. Նավասարդյան

Մաթեմատիկական անալիզի խնդրագիրք | առաջին մաս, երրորդ հրատ., Երևան 2007

Գ. Գ. Գևորգյան, Լ. Հ. Գալստյան, Ա. Կ. Թասլաքյան, Գ. Վ. Միքայելյան , Կ. Ա. Նավասարդյան

Մաթեմատիկական անալիզի խնդրագիրք | «Էդիթ պրինտ», Երևան,հ. 2, 2005, 265 էջ

Գ. Գ. Գևորգյան, Լ. Հ. Գալստյան, Ա. Կ. Թասլաքյան, Գ. Վ. Միքայելյան, Կ. Ա. Նավասարդյան

Մաթեմատիկական անալիզի խնդրագիրք | «Էդիթ պրինտ», Երևան, I և II հատոր, 2-րդ հրատարակություն, 2004 թ., յուր. 270 էջ

Գ. Գ. Գևորգյան, Լ. Հ. Գալստյան, Ա. Կ. Թասլաքյան, Գ. Վ. Միքայելյան, Կ. Ա. Նավասարդյան

Մաթեմատիկական անալիզի խնդրագիրք | «Էդիթ պրինտ», Երևան, հ. 1, 2003թ., 260 էջ

G. Gevorkyan, A. Sahakyan

Algebra and Calculus | 10-th class, Edit Print, Yerevan, 2001 (in Armenian)

G. Gevorkyan, A. Sahakyan

Algebra and Calculus | 9-th class, Edit Print, Yerevan, 2001 (in Armenian)

Գ. Գ. Գևորգյան, Լ. Հ. Գալստյան, Ա. Կ. Թասլաքյան, Գ. Վ. Միքայելյան, Կ. Ա. Նավասարդյան

Մաթեմատիկական անալիզի խնդրագիրք | Երևան, 1-ին հրատարակություն, II հատոր 1998 թ., 260 էջ
 

Article

G. G. Gevorkyan, K. A. Navasardyan

On a summation method for Vilenkin and generalized Haar systems (Հաարի ընդհանրացված և Վիլենկինի համակարգերի համար մի գումարման եղանակի վերաբերյալ) | ԵՊՀ գիտական տեղեկագիր, Ֆիզիկա և մաթեմատիկա, 2017, հ. 51, #1, էջ 13–17 |

Г. Г. Геворкян

О единственности рядов по системе Франкилина | Математический сборник (Sbornik Mathematics), 2016, 207, 12, стр. 30-53

Геворкян Г. Г., Керян К. А.

Об одной системе кусочно линейных функций с нулевыми интегралами | Известия НАН Армении: Математика, 2016, 51, 2, стр. 3-16

G.G. Gevorkyan, K.A. Keryan

On a system of piecewise linear functions with vanishing integrals on | Journal of Contemprorary Mathematical Analysis, 2016, 51(2) , 68-78

Gevorkyan Gegham, Kamont Anna, Keryan Karen, Passenbrunner Markus

Unconditionality of orthogonal spline systems in H1 | Studia Math. 226 (2015), no. 2,123–154.

Г.Г. Геворкян, К.А. Керян

Об одном базисе пространства H^1(R) , состоящем из кусочно линейных функций | Доклады НАН РА, (2014), 114(3),187-191

G.G. Gevorkyan, K.A. Keryan

On a generalization of general Franklin system on R | Journal of Contemporary Mathematical Analysis 49(6), 309-320, 2014

Gevorkyan G. G.

The general Franklin system as a basis in the space B1[0,1] | (Russian) Izv. Ross. Akad. Nauk Ser. Mat. 78 (2014), no. 6, 65--82; translation in Izv. Math. 78 (2014), no. 6, 1120–1137

Геворкян, Г. Г, Керян, К. А.

Об одном обобщении общей системы Франклина на R |

Геворкян, Г. Г

Об абсолютной сходимости рядов по общей системе Франклина | Изв. НАН РА, сер. Матем., 49 (2014), no 2. 3-24.

G. G. Gevorkyan, K A. Keryan

On general Franklin system on R1 | Dokl. Nauk Armenii, 113: 4(2013), 331-336

G. G. Gevorgyan, A. Kamont

Hilbert transform of a wavelet system: boundedness of orthogonal projections in the uniform norm | Izv. Nats. Akad. Nauk Armenii Mat. 44 (2012), no. 4, 3-12

G. G. Gevorgyan, A. Kamont

Orthonormal spline systems with arbitrary knots and bases in disk algebra | East J. Approx., 17 (2011), no. 4, 385-411

G. G. Gevorgyan, A. Kamont

Uniqueness of series with respect to general Franklin systems | Izv. Nats. Akad. Nauk Armenii Mat. 44 (2009), no. 5, 3-18; translation in J. Contemp. Math. Anal. 44 (2009), no. 5, 271–283

К.А. Керян, Г.Г. Геворкян

Об абсолютной и безусловной сходимости рядов по общей системе Франклина | Изв. РАН. Сер. Матем., 73:2(2009), 69-90

G. G. Gevorgyan, A. Kamont

On the trigonometric conjugate to the general Franklin system | Studia Math. 193 (2009), no. 3, 203–239

G. G. Gevorgyan, A. Kamont

Uniqueness of series with respect to general Franklin systems | Izv. Nats. Akad. Nauk Armenii Mat. 44 (2009), no. 5, 3-18; translation in J. Contemp. Math. Anal. 44 (2009), no. 5, 271–283

G. G. Gevorgyan, K. A. Keryan

On the absolute and unconditional convergence of series in the general Franklin system | (Russian) Izv. Ross. Akad. Nauk Ser. Mat. 73 (2009), no. 2, 69-90; translation in Izv. Math. 73 (2009), no. 2, 279–300

G. G. Gevorgyan, A. Kamont

Orthonormal spline systems with arbitrary knots as bases in H1[0,1] | East J. Approx. 14 (2008), no. 2, 161-182

G. G. Gevorgyan

Ciesielski and Franklin systems, Approximation and Probability | Banach Center Publ. 72, Polish Acad. Sci., Warsaw, 2006, 85-92

G. G. Gevorgyan, A. Kamont

Some properties of a conjugate Franklin system | (in Russian), Dokl. Nats. Acad. Nauk Armenii, 106 (2006), No. 2,108-113

G. G. Gevorgyan, A. Kamont

General Franklin systems as bases in H1[0,1] | Studia Math. 167(2005), No. 3, 259-292

G. G. Gevorgyan, A. Kamont

Two remarks on quasi-greedy bases in the space L1 | Izv. Akad. Nauk Armenii, ser. Mat., (in Russian), 40 (2005), No. 1, 5-17, English translation in J. Contemp. Math. Anal., 40 (2005), No. 1-2, 2-14

G. G. Gevorgyan, A. Kamont

Unconditionality oh general Franklin systems in Lp[0;1] | Studia Math. 164(2004), No. 2, 162-204

G. G. Gevorgyan, A. A. Stepanyan

On the almost everywhere divergence of a summation method for wavelet expansions | Izv. Akad. Nauk Armenii, ser. Mat., (in Russian), 39(2004), No. 2, 27-32, English translation in J. Contemp. Math. Anal., 39(2004), No. 2, 33-39

G. G. Gevorgyan

On uniquenness of harmonic functions | Izv. Akad. Nauk Armenii, ser. Mat., (in Russian), 36(2001), No. 6, 26-37, English translation in J. Contemp. Math. Anal., 36(2001), No. 6, 25-36

G. G. Gevorgyan, Z. Ciesielski

Franklin spline orthogonal system in Lp(R) with 0≤p≤1 | Acta Math. Acad. Sci. Hungar., 66(2000), No. 1-2, 211-226

G. G. Gevorgyan, A. A. Sahakyan

Unconditional basis properties of general Franklin series | Izvestija Akad. Nauk Arm. SSR, ser Mat, (in Russian), 35(2000), no. 4, 7-25, English translation in J. Contemp. Math. Anal., 35(2000), no. 4, 2-22

G. G. Gevorgyan, M. P. Poghosyan

On uniquenness of general orthogonal series | Izvestija Akad. Nauk Arm. SSR, ser. Mat, (in Russian), 35(2000), No. 5, 76-79. English translation in J. Contemp. Math. Anal., 35(2000), No. 5, 81-83

G. G. Gevorgyan, K. A. Navasardyan

On Walsh series with monotonic coefficients | Izvestia RAN, ser. Matematika, (in Russian), 63 (1999), No. 1, 41-60, English translation in Izv. Math., 63 (1999), No. 1, 37-55

Навасардян К. А., Геворкян Г. Г.

О рядах по системе Уолша с монотонными коэффициентами | Изв. АН России, серия Математика, т.63 (1999), 1, 41-60

G. G. Gevorgyan, H. L. Mikayelyan

Unconditional and absolute almost everywhere convengence of series by general Franklin systems | Izvestija Akad. Nauk Arm. SSR, ser. Mat, (in Russian), 33(1998), No. 6, 10-25, English translation in J. Contemp. Math. Anal., 33 (1998), No. 6, 14-28

G. G. Gevorgyan

An inequality for harmonic functions and uniqueness of Abel summable trigonometric series | East J. on Approx., 4 (1998), No. 3, 433-434

G. G. Gevorgyan, B. Wolnik

Squere Functions for Wavelet Type Systems | Bull. Pol. Acad. Sci., 46 (1998), No. 2, 155-172

G. G. Gevorgyan, A. Kamont

On General Franklin Series | Dissertationes Mathematicae, v. CCCLXXIV (1998), 59pp

A. A. Talalian, G. G. Gevorgyan, G. A. Karagulian

Some summation methods for Fourier series | Mat. Sb., (in Russian), 189 (1998), No. 5, 129-152, English translation in Sb. Math., 189 (1998), No. 5-6, 771-795

G. G. Gevorgyan

Franklin and Haar series in Lorentz spaces Lpq, 0<p≤q<1 | East J. on Approx., 3 (1997), No. 4, 419-444

G. G. Gevorgyan, N. B. Yengibarian

New theorem for the intrgral renewal equation | Izv, Nats. Akad. Nauk Armenii, ser. Mat, 32 (1997), No. 1, 5-20, English translation in J. Contemp. Math. Anal., 32 (1997), No. 1, 2-16

G. G. Gevorgyan

On representation of measurable functions by absolutely convergent series with translates and dilates of one function | East J. Approx., 2 (1996), no. 4, 439-458

G. G. Gevorgyan

Majorant and uniqueness of the series in the Franklin system | Mat. Zametki, (in Russian), 59 (1996), No. 4, 521-545, translation in Math. Notes, 59 (1996), No. 3-4, 373-391

G. G. Gevorgyan

On the uniqueness of additive functions of dydic cubes and series by Haar system | Izv. Nats. Akad. Nauk Armenii, ser. Mat., (in Russian), 30 (1995), No. 5, 7-21. English translation in J. Contemp. Math. Anal., 30 (1995), No. 5, 2-13

G. G. Gevorgyan

On the uniqueness of multiple trigonometric series | Mat. Sb., (in Russian), 184 (1993), No. 11, 93-130, English translation in Sb. Math. 80 (1995), No. 2, 335-365

G. G. Gevorgyan

On the trigonometric integrals summable by the Riemann method | Izv. Nats. Akad. Nauk Armenii, ser. Mat., (in Russian), 28 (1993), No. 6, 44-56, English translation in J. Contemp. Math. Anal., 28 (1993), No. 6, pp. 38-49

G. G. Gevorgyan

On trigonometric series that are summable by the Riemann method | Mat. Zametki, (in Russian), 52(1992), No. 3, 17-34. 52 (1992), English translation in Math. Notes, No. 3-4, 880-895

G. G. Gevorgyan

Uniqueness of multiple trigonometric series | Mat. Zametki, (in Russian), 52 (1992), No. 2, 148-150, English translation in Math. Notes, 52 (1992), No. 1-2, 859-861

G. G. Gevorgyan

Theorems on modified Franklin-Stromberg system II | Izv. Acad. Nauk Arm. SSR, ser. Mat., (in Russian), 26(1991), No. 1, 31-51, English translation in J. Contemp. Math. Anal., 26 (1991), No. 1, 29-49

G. G. Gevorgyan

On uniqueness of trigonometric series, summable by Riemann method | Dokl. Akad. Nauk SSSR, 313 (1990), No. 6, 1302-1305, English translation in Soviet Math. Dokl. 42 (1991), No.1, 154-157

A. A. Talalian, G. G. Gevorgyan

Representation of absolutely continuous functions of several variable | Acta Sci. Math. (in Russian), 54 (1990), 277-283

G. G. Gevorgyan

On series in the Franklin system | Analysis Math. (in Russian), 16 (1990), No. 2, 87-114

G. G. Gevorgyan

Some theorems on unconditional convergence and the majorant of Franklin series, and their application to the spaces ReHp | Trudi MIAN, (in Russian), 190 (1990), No. 1, 49-74, English translation in Proc. Steklov Inst. Math., 1992, No. 1, 49-76

G. G. Gevorgyan

Theorems on modified Franklin-Stromberg system | Izv. Acad. Nauk Arm. SSR, ser. Mat. , (in Russian), 24 (1989), No. 1. 69-92, English translation in Soviet J. Contemp. Math. Anal., 24 (1989), No. 1, 60-80

G. G. Gevorgyan

On uniqueness of trigonometric series | Mat. Sb. (in Russian), 180 (1989), No. 11, 1462 - 1474, English translation in Math. USSR-Sb, 68 (1991), No. 2, 325-338

G. G. Gevorgyan

On Haar and Franklin series with identical coefficients | Yerevan State Univ. Sci. Notes (in Russian) 1989, No. 3, 3-9

G. G. Gevorgyan

On uniqueness of series in the Franklin system | Mat. Zametki (in Russian), 46(1989), No. 2, 51-58, English translation in Math. Notes, 46 (1989), No. 1-2, 609-615

G. G. Gevorgyan

Absolute and unconditional convergence of series in the Franklin system | Mat. Zametki (in Russian), 45 (1989), No. 3, 30-42, English translation in Math. Notes, 45 (1989), No. 3, 30-42

G. G. Gevorgyan

Some theorems on unconditional convergence and majorant for Franklin series, and their application to the spaces ReHp | Dokl. Acad. SSSR (in Russian), 302 (1988), No. 6, 1292-1295, English translation in Soviet Math. Dokl. 38 (1989), No. 2, 409-411

G. G. Gevorgyan

Trigonometric integrals that are summable by Riemann method | Mat. Zametki, (in Russian), 45 (1989), No. 5, 114-117, English translation in Math. Notes, 45 (1989)

G. G. Gevorkyan

О рядах Хаара и Франклина с одинаковыми коэффициентами ( Միևնույն գործակիցներով Հաարի և Ֆրանկլինի շարքերի վերաբերյալ) | ԵՊՀ Գիտական տեղեկագիր, Բնական գիտություններ, 1989, #3, էջ 3-9 (ռուսերեն) |

G. G. Gevorgyan

On coefficients of null-series and on sets of uniqueness of trigonometric and Walsh systems | Analysis Math., 14 (1988), 219-251

G. G. Gevorgyan

On Weyl's multipliers for unconditional convergence of Fraklin series | Mat. Zametki (in Russian), 41 (1987), No. 6, 789-797

G. G. Gevorgyan

On uniqueness of Fourier integrals,convergent in Lp, p>0, metrics on every finite interval | Dokl. Acad. Nauk Arm. SSR, (in Russian), 84 (1987), No. 1, 21-25

G. G. Gevorgyan

On Franklin series | Yerevan State Univ. Sci. Notes (in Russian), 1986, No. 2, 146-148

G. G. Gevorgyan

On Uφ-sets of trigonometric integrals | Anaiysis Math., 12 (1986), No. 3, 185-190

G. G. Gevorgyan

On the representation of measurable functions by absolutely convergence Franklin series | Dokl. Acad. Nauk Arm. SSR (in Russian), 83 (1986), No. 1, 15-18

G. G. Gevorgyan

On classification of U(S)-sets Walsh system's | Math., Yerevan State Univ. (in Russian), 1986, No. 5, 42-49

G. G. Gevorgyan

On Up-sets for Haar, Walsh and trigonometric system's | Izv. Acad. Nauk Arm. SSR, ser. Mat. (in Russian), 20 (1985), No. 5, 325-348

G. G. Gevorgyan

On sets of uniqueness for Fourier transformation and integrals | Sib. Mat. Jurnal (in Russian), 24 (1985), No. 5, 47-61

G. G. Gevorgyan

Unboundness of shift operator with Franklin system in space L1 | Mat. Zametki (in Russian), 38 (1985), No. 4, 523-533

G. G. Gevorgyan

On sets of uniqueness for Fourier integrals | Dokl. Acad. Nauk Arm. SSR (in Russian), 79 (1984), No. 1, 18-21

G. G. Gevorgyan

On sets of uniqueness for some orthogonal series | Izv. Acad. Nauk Arm. SSR, ser. Mat. (in Russian), 17 (1983), No. 6, 448-475

G. G. Gevorgyan

On sets of uniqueness for some orthogonal series | Dokl. Acad. Nauk Arm. SSR (in Russian), 77 (1983), No. 4, 151-153

G. G. Gevorgyan

On sets of uniqueness for subsystems of Haar system | Yerevan State Univ. Sci. Notes (in Russian), (1983), No. 3, 15-19

G. G. Gevorgyan

On the representation of measurable functions by martingales | Analysis Math., 8 (1982), no. 4, 239-256

G. G. Gevorgyan

On sets of uniqueness for complete orthogonal systems | Mat. Zametki (in Russian), 32 (1982), No. 5, 651-656

G. G. Gevorgyan

On the representation and uniqueness of representation of measurable functions by martingales | Dokl. Acad. Nauk Arm. SSR (in Russian), 74 (1982), No. 3, 113-117

G. G. Gevorgyan

On uniqueness of series with H-systems | Acta Math. Acad. Sci. Hungar. (1-2)., (in Russian), 40 (1982), 1-10

G. G. Gevorgyan

On sets of uniqueness for some complete orthogonal systems | Yerevan State Univ. Sci. Notes, (in Russian), (1981), No. 2, 10-22

G. G. Gevorgyan

On sets of uniqueness for Fourier integral's | Dokl. Akad. Nauk Arm. SSR (in Russian), 73 (1981), No. 4, 211-218

G. G. Gevorgyan

On sets of uniqueness of complete orthogonal series and Fourier integral's | Dokl. Akad. Nauk Arm. SSR (in Russian), 72 (1981), No. 4, 218-223

G. G. Gevorgyan

On sets of uniqueness for Haar and Walsh systems | Dokl. Akad. Nauk Arm. SSR (in Russian), 73 (1981), No. 2, 91-96
 

Thesis

Navasardyan K.A., Gevorkian G.G.

On Walsh series with monotone coefficients | International Conference Harmonic Analysis and Approximations, Nor Amberd, Armenia, September 18-25,(1998), p.20