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Dorfman, Irina Yakovlevna (b. 1948 d. 1994)

Co-Author Distance
Author ID: dorfman.i-ya Recent zbMATH articles by "Dorfman, Irina Yakovlevna"
Published as: Dorfman, I. Ya.
Further Spellings: Дорфман Ирина Яковлевна
External Links: MGP · Math-Net.Ru · GND
Documents Indexed: 30 Publications since 1968, including 1 Book
Reviewing Activity: 64 Reviews
Biographic References: 2 Publications
Co-Authors: 4 Co-Authors with 13 Joint Publications
323 Co-Co-Authors

Co-Authors

16 single-authored
9 Gel’fand, Israil’ Moiseevich
2 Semenov, S. M.
1 Fokas, Athanassios S.
1 Mokhov, Oleg I.
all top 5

Serials

5 Functional Analysis and its Applications
4 Funktsional’nyĭ Analiz i ego Prilozheniya
4 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika
3 Journal of Mathematical Physics
3 Moscow University Mathematics Bulletin
1 Uspekhi Matematicheskikh Nauk [N. S.]
1 Siberian Mathematical Journal
1 Sibirskiĭ Matematicheskiĭ Zhurnal
1 Soviet Mathematics. Doklady
1 Izvestiya Akademii Nauk Armyanskoi SSR. Matematika
1 Mathematics of the USSR, Sbornik
all top 5

Fields

15 Dynamical systems and ergodic theory (37-XX)
12 Partial differential equations (35-XX)
8 Functional analysis (46-XX)
6 Differential geometry (53-XX)
6 Global analysis, analysis on manifolds (58-XX)
5 Nonassociative rings and algebras (17-XX)
2 Measure and integration (28-XX)
2 Potential theory (31-XX)
2 Special functions (33-XX)
2 Approximations and expansions (41-XX)
2 Operator theory (47-XX)
2 Calculus of variations and optimal control; optimization (49-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

17 Publications have been cited 531 times in 435 Documents Cited by ▼ Year ▼
Hamiltonian operators and algebraic structures related to them. Zbl 0437.58009
Gel’fand, I. M.; Dorfman, I. Ya.
149
1980
Dirac structures and integrability of nonlinear evolution equations. Zbl 0717.58026
Dorfman, I. Ya.
117
1990
Hamiltonian operators and algebraic structures related to them. Zbl 0428.58009
Gel’fand, I. M.; Dorfman, I. Ya.
86
1979
Hamiltonian operators and infinite-dimensional Lie algebras. Zbl 0487.58008
Gel’fand, I. M.; Dorfman, I. Ya.
36
1982
The Schouten bracket and Hamilton operators. Zbl 0444.58010
Gel’fand, I. M.; Dorfman, I. Ya.
35
1980
The Schouten bracket and Hamiltonian operators. Zbl 0455.58013
Gel’fand, I. M.; Dorfman, I. Ya.
28
1981
Hamiltonian theory over noncommutative rings and integrability in multidimensions. Zbl 0771.58025
Dorfman, I. Ya.; Fokas, A. S.
27
1992
Hamiltonian operators and infinite-dimensional Lie algebras. Zbl 0478.58013
Gel’fand, I. M.; Dorfman, I. Ya.
17
1981
Hamiltonian operators and the classical Yang-Baxter equation. Zbl 0527.58018
Gel’fand, I. M.; Dorfman, I. Ya.
15
1983
The Hamiltonian structure of the \((2+1)\)-dimensional Ablowitz-Kaup- Newell-Segur hierarchy. Zbl 0793.35104
Athorne, C.; Dorfman, I. Ya.
6
1993
Sheaf theory methods in the theory of the Lévy Laplacian. (Methoden der Garbentheorie in der Theorie des Lévy-Laplace-Operators.) Zbl 0318.47029
Dorfman, I. Ya.
4
1975
The Krichever-Novikov equation and local symplectic structures. Zbl 0681.58015
Dorfman, I. Ya.
4
1988
Local symplectic operators and structures related to them. Zbl 0747.58028
Dorfman, I. Ya.; Mokhov, O. I.
3
1991
Integrable equations of Korteweg-de Vries (KdV)-G. Dim type. Zbl 0546.35060
Gel’fand, I. M.; Dorfman, I. Ya.
1
1982
On the means and the Laplacian of functions on Hilbert space. (Über Mittel und den Laplaceoperator von Funktionen im Hilbertraum.) Zbl 0217.17601
Dorfman, I. Ya.
1
1970
On formal calculus of variations in the algebra of smooth cylindrical functions. (Über formale Variationsrechnung in der Algebra der glatten zylindrischen Funktionen.) Zbl 0401.49023
Dorfman, I. Ya.
1
1978
Formal variational calculus in the algebra of smooth cylindrical functions. Zbl 0405.49032
Dorfman, I. Ya.
1
1978
The Hamiltonian structure of the \((2+1)\)-dimensional Ablowitz-Kaup- Newell-Segur hierarchy. Zbl 0793.35104
Athorne, C.; Dorfman, I. Ya.
6
1993
Hamiltonian theory over noncommutative rings and integrability in multidimensions. Zbl 0771.58025
Dorfman, I. Ya.; Fokas, A. S.
27
1992
Local symplectic operators and structures related to them. Zbl 0747.58028
Dorfman, I. Ya.; Mokhov, O. I.
3
1991
Dirac structures and integrability of nonlinear evolution equations. Zbl 0717.58026
Dorfman, I. Ya.
117
1990
The Krichever-Novikov equation and local symplectic structures. Zbl 0681.58015
Dorfman, I. Ya.
4
1988
Hamiltonian operators and the classical Yang-Baxter equation. Zbl 0527.58018
Gel’fand, I. M.; Dorfman, I. Ya.
15
1983
Hamiltonian operators and infinite-dimensional Lie algebras. Zbl 0487.58008
Gel’fand, I. M.; Dorfman, I. Ya.
36
1982
Integrable equations of Korteweg-de Vries (KdV)-G. Dim type. Zbl 0546.35060
Gel’fand, I. M.; Dorfman, I. Ya.
1
1982
The Schouten bracket and Hamiltonian operators. Zbl 0455.58013
Gel’fand, I. M.; Dorfman, I. Ya.
28
1981
Hamiltonian operators and infinite-dimensional Lie algebras. Zbl 0478.58013
Gel’fand, I. M.; Dorfman, I. Ya.
17
1981
Hamiltonian operators and algebraic structures related to them. Zbl 0437.58009
Gel’fand, I. M.; Dorfman, I. Ya.
149
1980
The Schouten bracket and Hamilton operators. Zbl 0444.58010
Gel’fand, I. M.; Dorfman, I. Ya.
35
1980
Hamiltonian operators and algebraic structures related to them. Zbl 0428.58009
Gel’fand, I. M.; Dorfman, I. Ya.
86
1979
On formal calculus of variations in the algebra of smooth cylindrical functions. (Über formale Variationsrechnung in der Algebra der glatten zylindrischen Funktionen.) Zbl 0401.49023
Dorfman, I. Ya.
1
1978
Formal variational calculus in the algebra of smooth cylindrical functions. Zbl 0405.49032
Dorfman, I. Ya.
1
1978
Sheaf theory methods in the theory of the Lévy Laplacian. (Methoden der Garbentheorie in der Theorie des Lévy-Laplace-Operators.) Zbl 0318.47029
Dorfman, I. Ya.
4
1975
On the means and the Laplacian of functions on Hilbert space. (Über Mittel und den Laplaceoperator von Funktionen im Hilbertraum.) Zbl 0217.17601
Dorfman, I. Ya.
1
1970
all cited Publications top 5 cited Publications
all top 5

Cited by 485 Authors

28 Bai, Chengming
12 Fuchssteiner, Benno
11 Kolesnikov, Pavel Sergeevich
11 Wang, Jingping
10 van der Schaft, Arjan J.
9 Hong, Yanyong
9 Liu, Jiefeng
9 Prykarpatsky, Anatoliy Karolevych
9 Sheng, Yunhe
8 Kosmann-Schwarzbach, Yvette
7 Kac, Victor
7 Ma, Wen-Xiu
7 Umirbaev, Ualbaĭ Utmakhanbetovich
7 Vitolo, Raffaele F.
7 Zhelyabin, Viktor Nikolaevich
6 Chen, Zhiqi
6 De Sole, Alberto
6 Gel’fand, Israil’ Moiseevich
6 Mikhailov, Alexander Vasil’evich
6 Yoshimura, Hiroaki
6 Zakharov, Anton Stanislavovich
5 Bogoyavlenskij, Oleg Igorevich
5 Chen, Liangyun
5 Fokas, Athanassios S.
5 Guo, Li
5 Magri, Franco
5 Pavlov, Maxim V.
5 Sartayev, Bauyrzhan K.
5 Sergyeyev, Artur
5 Xu, Xiaoping
5 Zhang, Zerui
4 Artemovych, Orest Dem”yanovych
4 Blackmore, Denis L.
4 Bokut, Leonid A.
4 Dorfman, Irina Yakovlevna
4 Fan, Engui
4 Hou, Dongping
4 Konyaev, Andreĭ Yu.
4 Kupershmidt, Boris A.
4 Liu, Linlin
4 Maschke, Bernhard M.
4 Meng, Daoji
4 Mokhov, Oleg I.
4 Oevel, Walter
4 Panasenko, Aleksandr Sergeevich
4 Pei, Yufeng
4 Smirnov, Roman G.
4 Vaisman, Izu
4 Yuan, Lamei
3 Bai, Ruipu
3 Barnich, Glenn
3 Bolsinov, Alexey V.
3 Burde, Dietrich
3 Caressa, Paolo
3 Carpentier, Sylvain
3 Casati, Matteo
3 Chen, Yuqun
3 Himonas, A. Alexandrou
3 Hounkonnou, Mahouton Norbert
3 Izosimov, Anton
3 Keyes, Tim K.
3 Kozlov, Roman A.
3 Landalidji, Mahougnon Justin
3 Lorenzoni, Paolo
3 Marsden, Jerrold Eldon
3 Matveev, Vladimir S.
3 Nishida, Gou
3 Olver, Peter John
3 Sanders, Jan A.
3 Semenov-Tyan-Shanskiĭ, Mikhail Arsen’evich
3 Sun, Qinxiu
3 Tan, Youjun
3 Tu, Guizhang
3 Yanovski, Aleksandăr Borisov
2 Abdolhadi-Zangakani, Salahaddin
2 Anco, Stephen C.
2 Andrushkiw, Roman I.
2 Arthamonov, Semeon
2 Bakas, Ioannis
2 Barakat, Aliaa
2 Bersani, Alberto Maria
2 Blankenstein, Guido
2 Błaszak, Maciej
2 Boiti, Marco
2 Carillo, Sandra
2 Chen, Zhuo
2 Cooke, David B.
2 Dekimpe, Karel
2 Drensky, Vesselin
2 Duĭsengalieva, Bibinur A.
2 Ferapontov, Evgeny Vladimirovich
2 Frenkel, Edward V.
2 Gay-Balmaz, François
2 Grabowski, Janusz
2 Gui, Guilong
2 Haghighatdoost, Ghorbanali
2 Kaygorodov, Ivan
2 Kong, Xiaoli
2 Konopelchenko, Boris Georgievich
2 Li, Chuanzhong
...and 385 more Authors
all top 5

Cited in 122 Serials

59 Journal of Mathematical Physics
40 Journal of Geometry and Physics
20 Communications in Mathematical Physics
16 Journal of Algebra
14 Communications in Algebra
13 Letters in Mathematical Physics
10 Theoretical and Mathematical Physics
10 Journal of Nonlinear Mathematical Physics
8 Reports on Mathematical Physics
8 Advances in Mathematics
8 Functional Analysis and its Applications
7 Physica D
6 Journal of Mathematical Analysis and Applications
6 Journal of Algebra and its Applications
5 Physica A
5 Physics Letters. A
5 Journal of Differential Equations
5 Siberian Mathematical Journal
5 International Journal of Algebra and Computation
5 Journal of High Energy Physics
5 International Journal of Geometric Methods in Modern Physics
4 Linear and Multilinear Algebra
4 Studies in Applied Mathematics
4 Differential Geometry and its Applications
4 Journal of Mathematical Sciences (New York)
3 Journal of Statistical Physics
3 Chaos, Solitons and Fractals
3 Algebra and Logic
3 Automatica
3 Czechoslovak Mathematical Journal
3 Inventiones Mathematicae
3 Journal of Pure and Applied Algebra
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Acta Applicandae Mathematicae
3 Annales de l’Institut Henri Poincaré. Physique Théorique
3 Journal of Nonlinear Science
3 Algebras and Representation Theory
3 Acta Mathematica Sinica. English Series
3 Sibirskie Èlektronnye Matematicheskie Izvestiya
3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Archive for Rational Mechanics and Analysis
2 Computer Physics Communications
2 Nonlinearity
2 Reviews in Mathematical Physics
2 Applied Mathematics and Computation
2 Duke Mathematical Journal
2 Mathematische Zeitschrift
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 SIAM Journal on Control and Optimization
2 Advances in Applied Mathematics
2 Applied Mathematics Letters
2 International Journal of Mathematics
2 Linear Algebra and its Applications
2 Russian Journal of Mathematical Physics
2 Mathematics and Mechanics of Solids
2 Communications in Contemporary Mathematics
2 Nonlinear Analysis. Real World Applications
2 Japanese Journal of Mathematics. 3rd Series
2 Advances in Mathematical Physics
2 Science China. Mathematics
2 European Journal of Mathematics
1 Applicable Analysis
1 Computers & Mathematics with Applications
1 Geophysical and Astrophysical Fluid Dynamics
1 International Journal of Theoretical Physics
1 Journal of Computational Physics
1 Mathematical Notes
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Nuclear Physics. B
1 Physics Reports
1 Rocky Mountain Journal of Mathematics
1 Russian Mathematical Surveys
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Canadian Journal of Mathematics
1 Compositio Mathematica
1 Geometriae Dedicata
1 Journal of Functional Analysis
1 Journal of the London Mathematical Society. Second Series
1 Mathematics and Computers in Simulation
1 Monatshefte für Mathematik
1 Nagoya Mathematical Journal
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Results in Mathematics
1 Annals of Global Analysis and Geometry
1 Order
1 Mathematical and Computer Modelling
1 Journal of Scientific Computing
1 The Journal of Geometric Analysis
1 Annals of Physics
1 International Journal of Computer Mathematics
1 Computers and Mathematics with Applications. Part A
1 Journal of Dynamics and Differential Equations
1 Indagationes Mathematicae. New Series
1 Experimental Mathematics
1 Journal of Algebraic Combinatorics
1 Nuclear Physics. B. Proceedings Supplements
1 Annales Mathématiques Blaise Pascal
1 Journal of Lie Theory
1 Bulletin des Sciences Mathématiques
...and 22 more Serials
all top 5

Cited in 48 Fields

204 Dynamical systems and ergodic theory (37-XX)
186 Nonassociative rings and algebras (17-XX)
118 Partial differential equations (35-XX)
79 Differential geometry (53-XX)
47 Mechanics of particles and systems (70-XX)
43 Global analysis, analysis on manifolds (58-XX)
39 Associative rings and algebras (16-XX)
37 Quantum theory (81-XX)
15 Fluid mechanics (76-XX)
13 Category theory; homological algebra (18-XX)
11 Commutative algebra (13-XX)
11 Systems theory; control (93-XX)
9 Ordinary differential equations (34-XX)
8 Topological groups, Lie groups (22-XX)
6 Field theory and polynomials (12-XX)
6 Algebraic topology (55-XX)
6 Numerical analysis (65-XX)
6 Statistical mechanics, structure of matter (82-XX)
5 Algebraic geometry (14-XX)
5 Difference and functional equations (39-XX)
5 Calculus of variations and optimal control; optimization (49-XX)
5 Computer science (68-XX)
5 Relativity and gravitational theory (83-XX)
4 Operator theory (47-XX)
4 Manifolds and cell complexes (57-XX)
3 General algebraic systems (08-XX)
3 Functional analysis (46-XX)
3 Geometry (51-XX)
3 Probability theory and stochastic processes (60-XX)
3 Optics, electromagnetic theory (78-XX)
2 Combinatorics (05-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Mechanics of deformable solids (74-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Mathematical logic and foundations (03-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Number theory (11-XX)
1 \(K\)-theory (19-XX)
1 Group theory and generalizations (20-XX)
1 Real functions (26-XX)
1 Measure and integration (28-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral equations (45-XX)
1 Convex and discrete geometry (52-XX)
1 Geophysics (86-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year