# zbMATH — the first resource for mathematics

## Dzagnidze, Omar P.

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 Author ID: dzagnidze.omar-p Published as: Dzagnidze, O.; Dzagnidze, O. P.; Dzagnidze, Omar; Dzagnidze, Omar P.
 Documents Indexed: 63 Publications since 1964

#### Co-Authors

 60 single-authored 2 Oniani, Gigla A. 1 Tsivtsivadze, I.
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#### Serials

 22 Proceedings of A. Razmadze Mathematical Institute 15 Soobshcheniya Akademii Nauk Gruzinskoĭ SSR 4 Georgian Mathematical Journal 3 Soobshcheniya Akademii Nauk Gruzii 3 Transactions of A. Razmadze Mathematical Institute 2 Real Analysis Exchange 1 Soviet Mathematics. Doklady 1 Tatra Mountains Mathematical Publications 1 Journal of Mathematical Sciences (New York) 1 Journal of Applied Analysis 1 Bulletin of the Georgian Academy of Sciences 1 Bulletin of TICMI 1 Reports of Enlarged Sessions of the Seminar of I. Vekua Institute of Applied Mathematics 1 Tbilisi Mathematical Journal
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#### Fields

 20 Real functions (26-XX) 17 Potential theory (31-XX) 17 Harmonic analysis on Euclidean spaces (42-XX) 11 Functions of a complex variable (30-XX) 4 Special functions (33-XX) 3 Several complex variables and analytic spaces (32-XX) 2 Measure and integration (28-XX) 1 Mathematical logic and foundations (03-XX) 1 Partial differential equations (35-XX) 1 Sequences, series, summability (40-XX) 1 Global analysis, analysis on manifolds (58-XX)

#### Citations contained in zbMATH

16 Publications have been cited 30 times in 15 Documents Cited by Year
Some new results on the continuity and differentiability of functions of several real variables. Zbl 1076.26009
Dzagnidze, O.
2004
On the differentiability of functions of two variables and of indefinite double integrals. Zbl 0836.26007
Dzagnidze, O. P.
1993
$${\mathbb C}^2$$-differentiability of quaternion functions and their representation by integrals and series. Zbl 1332.30074
Dzagnidze, O.
2015
Separately continuous functions in a new sense are continuous. Zbl 0967.26010
Dzagnidze, Omar P.
1999
Necessary and sufficient conditions for the $$\mathbb{H}$$-differentiability of quaternion functions. Zbl 1318.30079
Dzagnidze, Omar
2015
On the differentiability of real, complex and quaternion functions. Zbl 1325.30043
Dzagnidze, Omar
2014
On the differentiability of quaternion functions. Zbl 1280.30022
Dzagnidze, Omar
2012
A necessary and sufficient condition for differentiability [of] functions of several variables. Zbl 0971.26007
Dzagnidze, O.
2000
On some new properties of quaternion functions. Zbl 1408.30044
Dzagnidze, O.
2018
On the behaviour of series, obtained by termwise integration of double trigonometric series. Zbl 1311.42014
Dzagnidze, O.
2014
The smoothness of functions of two variables and double trigonometric series. Zbl 1183.26012
Dzagnidze, Omar
2009
A criterion of joint $$\mathbb C$$-differentiability and a new proof of Hartogs’ main theorem. Zbl 1147.58010
Dzagnidze, O.
2007
On one analogue of Lebesgue theorem on the differentiation of indefinite integral for functions of several variables. Zbl 1054.26501
Dzagnidze, O.; Oniani, G.
2003
Boundary properties of second order derivatives of the Poisson spherical integral. Zbl 0829.31005
Dzagnidze, O. P.
1993
On certain integral inequalities. Zbl 0529.30031
Dzagnidze, O. P.
1982
Über universelle Doppelreihen. Zbl 0141.06902
Dzagnidze, O. P.
1964
On some new properties of quaternion functions. Zbl 1408.30044
Dzagnidze, O.
2018
$${\mathbb C}^2$$-differentiability of quaternion functions and their representation by integrals and series. Zbl 1332.30074
Dzagnidze, O.
2015
Necessary and sufficient conditions for the $$\mathbb{H}$$-differentiability of quaternion functions. Zbl 1318.30079
Dzagnidze, Omar
2015
On the differentiability of real, complex and quaternion functions. Zbl 1325.30043
Dzagnidze, Omar
2014
On the behaviour of series, obtained by termwise integration of double trigonometric series. Zbl 1311.42014
Dzagnidze, O.
2014
On the differentiability of quaternion functions. Zbl 1280.30022
Dzagnidze, Omar
2012
The smoothness of functions of two variables and double trigonometric series. Zbl 1183.26012
Dzagnidze, Omar
2009
A criterion of joint $$\mathbb C$$-differentiability and a new proof of Hartogs’ main theorem. Zbl 1147.58010
Dzagnidze, O.
2007
Some new results on the continuity and differentiability of functions of several real variables. Zbl 1076.26009
Dzagnidze, O.
2004
On one analogue of Lebesgue theorem on the differentiation of indefinite integral for functions of several variables. Zbl 1054.26501
Dzagnidze, O.; Oniani, G.
2003
A necessary and sufficient condition for differentiability [of] functions of several variables. Zbl 0971.26007
Dzagnidze, O.
2000
Separately continuous functions in a new sense are continuous. Zbl 0967.26010
Dzagnidze, Omar P.
1999
On the differentiability of functions of two variables and of indefinite double integrals. Zbl 0836.26007
Dzagnidze, O. P.
1993
Boundary properties of second order derivatives of the Poisson spherical integral. Zbl 0829.31005
Dzagnidze, O. P.
1993
On certain integral inequalities. Zbl 0529.30031
Dzagnidze, O. P.
1982
Über universelle Doppelreihen. Zbl 0141.06902
Dzagnidze, O. P.
1964
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#### Cited by 23 Authors

 4 Dzagnidze, Omar P. 2 Visnyai, Tomáš 1 Bantsuri, L. D. 1 Corbacho, Eusebio 1 Gómez-Collado, María del Carmen 1 Karlova, Olena 1 Karlova, Olena O. 1 Kuzmenko, Tat’yana Sergeevna 1 Lomtatidze, Alexander 1 Martínez-Giménez, Félix 1 McAsey, Michael J. 1 Mou, Libin 1 Mukhigulashvili, Sulkhan 1 Oniani, Georgi G. 1 Oniani, Giorgi Gigla 1 Peris, Alfredo 1 Rodenas, Francisco 1 Shpakivskyi, Vitalii Stanislavovich 1 Shvedenko, S. V. 1 Šremr, Jiří 1 Tarieladze, Vasha I. 1 Topuria, Sergo 1 Vidal, Ricardo
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#### Cited in 12 Serials

 2 Analysis Mathematica 2 Journal of Mathematical Sciences (New York) 2 Transactions of A. Razmadze Mathematical Institute 1 Journal of Mathematical Analysis and Applications 1 Mathematical Notes 1 Journal of Soviet Mathematics 1 Real Analysis Exchange 1 Topology and its Applications 1 Mathematical and Computer Modelling 1 Georgian Mathematical Journal 1 Journal of Inequalities and Applications 1 Proceedings of the International Geometry Center
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#### Cited in 10 Fields

 5 Real functions (26-XX) 4 Functions of a complex variable (30-XX) 3 General topology (54-XX) 2 Potential theory (31-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Functional analysis (46-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Partial differential equations (35-XX) 1 Operator theory (47-XX)