Edit Profile Damaskinskij, E. V. Compute Distance To: Compute Author ID: damaskinskij.e-v Published as: Damaskinskii, E. V.; Damaskinskij, E. V.; Damaskinskiĭ, E. V.; Damaskinsky, E. V. Documents Indexed: 49 Publications since 1973, including 1 Book all top 5 Co-Authors 8 single-authored 19 Borzov, Vadim V. 14 Kulish, Petr Petrovich 10 Sokolov, M. A. 3 Bogolyubov, Nikolaĭ Mikhaĭlovich 1 Alimov, A. L. 1 Chaichian, Masud 1 Stolin, Alexander all top 5 Serials 17 Journal of Mathematical Sciences (New York) 11 Theoretical and Mathematical Physics 5 Zapiski Nauchnykh Seminarov POMI 3 Journal of Physics A: Mathematical and General 2 Journal of Mathematical Physics 2 Teoreticheskaya i Matematicheskaya Fizika 2 Journal of Soviet Mathematics 2 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 1 International Journal of Modern Physics A 1 Reviews in Mathematical Physics 1 Integral Transforms and Special Functions 1 Problemy Matematicheskogo Analiza all top 5 Fields 36 Quantum theory (81-XX) 18 Nonassociative rings and algebras (17-XX) 17 Special functions (33-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Approximations and expansions (41-XX) 4 Topological groups, Lie groups (22-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Operator theory (47-XX) 2 General and overarching topics; collections (00-XX) 2 Associative rings and algebras (16-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral transforms, operational calculus (44-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 28 Publications have been cited 164 times in 126 Documents Cited by ▼ Year ▼ On the \(q\) oscillator and the quantum algebra \(\mathfrak{su}_ q(1,1)\). Zbl 0709.17012Kulish, P. P.; Damaskinskii, E. V. 76 1990 Irreducible representations of deformed oscillator algebra and \(q\)-special functions. Zbl 0985.81552Damaskinsky, E. V.; Kulish, P. P. 8 1997 Deformed oscillators and their applications. Zbl 0744.17010Damaskinskij, E. V.; Kulish, P. P. 8 1991 Applications of deformed oscillators. Zbl 0783.17004Damaskinskij, E. V.; Kulish, P. P. 8 1991 Remarks on quantization of Pais-Uhlenbeck oscillators. Zbl 1114.81055Damaskinsky, E. V.; Sokolov, M. A. 7 2006 The algebra of two dimensional generalized Chebyshev-Koornwinder oscillator. Zbl 1309.81066Borzov, V. V.; Damaskinsky, E. V. 6 2014 Chebyshev-Koornwinder oscillator. Zbl 1286.81078Borzov, V. V.; Damaskinsky, E. V. 6 2013 Gauss decomposition for quantum groups and supergroups. Zbl 0899.17002Damaskinskij, E. V.; Kulish, P. P.; Sokolov, M. A. 6 1995 On calculation of generating functions of Chebyshev polynomials in several variables. Zbl 1317.05012Damaskinsky, E. V.; Kulish, P. P.; Sokolov, M. A. 5 2015 Generalized coherent states for oscillators associated with the Charlier \(q\) -polynomials. Zbl 1155.81339Borzov, V. V.; Damaskinsky, E. V. 3 2008 Barut-Girardello coherent states for the Gegenbauer oscillator. Zbl 1068.81034Borzov, V. V.; Damaskinsky, E. V. 3 2002 Coherent states for the Legendre oscillator. Zbl 1067.81064Borzov, V. V.; Damaskinsky, E. V. 3 2002 Realization of the annihilation operator for an oscillator-like system by a differential operator and Hermite-Chihara polynomials. Zbl 1023.33005Borzov, V. V.; Damaskinsky, E. V. 3 2002 Construction of the spectral measure for deformed oscillator position operator in the case of undetermined Hamburger moment problem. Zbl 1044.81067Borzov, V. V.; Damaskinsky, E. V.; Kulish, P. P. 3 2000 Self-adjoint phase operator. Zbl 0463.47025Alimov, A. L.; Damaskinskij, E. V. 3 1979 \(N\)-symmetric Chebyshev polynomials in a composite model of a generalized oscillator. Zbl 1274.81275Borzov, V. V.; Damaskinsky, E. V. 2 2011 Charlier polynomials and Charlier oscillator as discrete realization of the harmonic oscillator. Zbl 1099.33005Borzov, V. V.; Damaskinskii, E. V. 2 2005 Some remarks on the Gauss decomposition for quantum group \(GL_ q(n)\) with application to \(q\)-bosonization. Zbl 0858.17016Damaskinsky, E. V.; Sokolov, M. A. 2 1995 The generating function of bivariate Chebyshev polynomials associated with the Lie algebra \(G_2\). Zbl 1384.41020Damaskinsky, E. V.; Sokolov, M. A. 1 2017 Invariance of the generalized oscillator under a linear transformation of the related system of orthogonal polynomials. Zbl 1370.33009Borzov, Vadim V.; Damaskinsky, E. V. 1 2017 Discrete spectrum of the Jacobi matrix related to recurrence relations with periodic coefficients. Zbl 1342.33018Borzov, Vadim V.; Damaskinsky, E. V. 1 2016 Compound model of the generalized oscillator. I. Zbl 1288.81038Borzov, V. V.; Damaskinsky, E. V. 1 2010 Generalized coherent states: a novel approach. Zbl 1117.81336Borzov, V. V.; Damaskinsky, E. V. 1 2005 Generalized coherent states for \(q\)-oscillator associated with discrete \(q\)-Hermite polynomials. Zbl 1130.81039Borzov, V. V.; Damaskinskii, E. V. 1 2004 Construction of a universal twist element from an \(R\)-matrix. Zbl 1070.16043Stolin, A. A.; Kulish, P. P.; Damaskinsky, E. V. 1 2003 Simultaneous quantization of three-dimensional bialgebras. Zbl 1095.17005Damaskinsky, E. V.; Kulish, P. P.; Sokolov, M. A. 1 2002 Gauss decomposition of quantum groups and supergroups. Zbl 0886.17016Damaskinskij, E. V.; Kulish, P. P.; Sokolov, M. A. 1 1995 Hermite \(q\)-polynomials and \(q\)-oscillators. Zbl 0929.33015Damaskinskij, E. V.; Kulish, P. P. 1 1992 The generating function of bivariate Chebyshev polynomials associated with the Lie algebra \(G_2\). Zbl 1384.41020Damaskinsky, E. V.; Sokolov, M. A. 1 2017 Invariance of the generalized oscillator under a linear transformation of the related system of orthogonal polynomials. Zbl 1370.33009Borzov, Vadim V.; Damaskinsky, E. V. 1 2017 Discrete spectrum of the Jacobi matrix related to recurrence relations with periodic coefficients. Zbl 1342.33018Borzov, Vadim V.; Damaskinsky, E. V. 1 2016 On calculation of generating functions of Chebyshev polynomials in several variables. Zbl 1317.05012Damaskinsky, E. V.; Kulish, P. P.; Sokolov, M. A. 5 2015 The algebra of two dimensional generalized Chebyshev-Koornwinder oscillator. Zbl 1309.81066Borzov, V. V.; Damaskinsky, E. V. 6 2014 Chebyshev-Koornwinder oscillator. Zbl 1286.81078Borzov, V. V.; Damaskinsky, E. V. 6 2013 \(N\)-symmetric Chebyshev polynomials in a composite model of a generalized oscillator. Zbl 1274.81275Borzov, V. V.; Damaskinsky, E. V. 2 2011 Compound model of the generalized oscillator. I. Zbl 1288.81038Borzov, V. V.; Damaskinsky, E. V. 1 2010 Generalized coherent states for oscillators associated with the Charlier \(q\) -polynomials. Zbl 1155.81339Borzov, V. V.; Damaskinsky, E. V. 3 2008 Remarks on quantization of Pais-Uhlenbeck oscillators. Zbl 1114.81055Damaskinsky, E. V.; Sokolov, M. A. 7 2006 Charlier polynomials and Charlier oscillator as discrete realization of the harmonic oscillator. Zbl 1099.33005Borzov, V. V.; Damaskinskii, E. V. 2 2005 Generalized coherent states: a novel approach. Zbl 1117.81336Borzov, V. V.; Damaskinsky, E. V. 1 2005 Generalized coherent states for \(q\)-oscillator associated with discrete \(q\)-Hermite polynomials. Zbl 1130.81039Borzov, V. V.; Damaskinskii, E. V. 1 2004 Construction of a universal twist element from an \(R\)-matrix. Zbl 1070.16043Stolin, A. A.; Kulish, P. P.; Damaskinsky, E. V. 1 2003 Barut-Girardello coherent states for the Gegenbauer oscillator. Zbl 1068.81034Borzov, V. V.; Damaskinsky, E. V. 3 2002 Coherent states for the Legendre oscillator. Zbl 1067.81064Borzov, V. V.; Damaskinsky, E. V. 3 2002 Realization of the annihilation operator for an oscillator-like system by a differential operator and Hermite-Chihara polynomials. Zbl 1023.33005Borzov, V. V.; Damaskinsky, E. V. 3 2002 Simultaneous quantization of three-dimensional bialgebras. Zbl 1095.17005Damaskinsky, E. V.; Kulish, P. P.; Sokolov, M. A. 1 2002 Construction of the spectral measure for deformed oscillator position operator in the case of undetermined Hamburger moment problem. Zbl 1044.81067Borzov, V. V.; Damaskinsky, E. V.; Kulish, P. P. 3 2000 Irreducible representations of deformed oscillator algebra and \(q\)-special functions. Zbl 0985.81552Damaskinsky, E. V.; Kulish, P. P. 8 1997 Gauss decomposition for quantum groups and supergroups. Zbl 0899.17002Damaskinskij, E. V.; Kulish, P. P.; Sokolov, M. A. 6 1995 Some remarks on the Gauss decomposition for quantum group \(GL_ q(n)\) with application to \(q\)-bosonization. Zbl 0858.17016Damaskinsky, E. V.; Sokolov, M. A. 2 1995 Gauss decomposition of quantum groups and supergroups. Zbl 0886.17016Damaskinskij, E. V.; Kulish, P. P.; Sokolov, M. A. 1 1995 Hermite \(q\)-polynomials and \(q\)-oscillators. Zbl 0929.33015Damaskinskij, E. V.; Kulish, P. P. 1 1992 Deformed oscillators and their applications. Zbl 0744.17010Damaskinskij, E. V.; Kulish, P. P. 8 1991 Applications of deformed oscillators. Zbl 0783.17004Damaskinskij, E. V.; Kulish, P. P. 8 1991 On the \(q\) oscillator and the quantum algebra \(\mathfrak{su}_ q(1,1)\). Zbl 0709.17012Kulish, P. P.; Damaskinskii, E. V. 76 1990 Self-adjoint phase operator. Zbl 0463.47025Alimov, A. L.; Damaskinskij, E. V. 3 1979 all cited Publications top 5 cited Publications all top 5 Cited by 178 Authors 14 Damaskinskij, E. V. 10 Borzov, Vadim V. 8 Kulish, Petr Petrovich 5 Kaparulin, Dmitry S. 4 Atakishiev, Natig M. 4 Bogolyubov, Nikolaĭ Mikhaĭlovich 4 Fakhri, Hossein 4 Lyakhovich, Simon L. 4 Sokolov, M. A. 3 Lyakhovskiĭ, Vladimir Dmitrievich 3 Makhlouf, Abdenacer 3 Silvestrov, Sergei D. 3 Suslov, Sergei K. 3 Thirulogasanthar, Kengatharam 2 Abakumova, V. A. 2 Aizawa, Naruhiko 2 Biedenharn, Lawrence C. jun. 2 Boumali, Abdelmalek 2 Chaichian, Masud 2 Chung, Won-Sang 2 Dehghani, Alireza 2 Ellinas, Demostheness 2 Gurevich, Dmitrii 2 Honnouvo, Gilbert 2 Lohé, M. A. 2 Maslov, Viktor Pavlovich 2 McAnally, David S. 2 Mezlini, Kamel 2 Mojaveri, Bashir 2 Panaite, Florin 2 Pavšič, Matej 2 Pyatov, P. N. 2 Saponov, Pavel A. 2 Van der Jeugt, Joris 1 Ahbli, Khalid 1 Aleixo, A. N. F. 1 Algin, Abdullah 1 Ali, Syed Twareque 1 Aneva, Boyka 1 Antonov, Alexey V. 1 Askey, Richard Allen 1 Bagrov, Vladislav G. 1 Balantekin, A. Baha 1 Belov, Vladimir Vasilyevich 1 Bettaibi, Néji 1 Bonatsos, Dennis 1 Bullough, Robin K. 1 Cantuba, Rafael Reno S. 1 Cariñena, José F. 1 Castro, P. G. 1 Chakrabarti, Rajarshi 1 Chaturvedi, Shashank 1 Chuburin, Yuriĭ Pavlovich 1 Chung, Ki-Soo 1 Cooper, Ian L. 1 Czyżycki, Tomasz 1 Damsaskinskij, E. V. 1 Daskaloyannis, Costas 1 de Azcárraga, José A. 1 de Lucas, Javier 1 Dominici, Diego Ernesto 1 Duan, Yishi 1 Eghbali, Ali 1 Egorov, S. B. 1 Elchinger, Olivier 1 Eremin, V. V. 1 Fan, Hong-Yi 1 Filippov, Alexandre Tikhonovich 1 Firsova, Natalie E. 1 Frank, Alejandro 1 Fresneda, Rodrigo 1 Fu, Hongchen 1 Gazeau, Jean-Pierre 1 Ge, Molin 1 Gouba, Laure 1 Guo, Hao 1 Guo, Maozheng 1 Gupta, Raj Kumar 1 Hashemi, A. 1 Hashemzadeh, R. 1 Hassanabadi, Hassan 1 He, Yan 1 Hellström, Lars 1 Hou, XuYang 1 Hrivnák, Jiří 1 Huang, Xun 1 Ip, Ivan Chi-Ho 1 Isaev, Alexei P. 1 Isaev, Alexey P. 1 Jing, Sicong 1 Kalnins, Ernest G. 1 Kang, Hye-Jung 1 Karataeva, I. Yu. 1 Kikodio, Patrick Kayupe 1 Kirillov, A. I. 1 Kiselev, Oleg Mikhaĭlovich 1 Kitanine, Nikolai 1 Klimyk, Anatoliy U. 1 Kokkotas, Kostas D. 1 Kondrat’eva, M. F. ...and 78 more Authors all top 5 Cited in 39 Serials 33 Theoretical and Mathematical Physics 28 Journal of Mathematical Physics 7 Journal of Mathematical Sciences (New York) 6 International Journal of Theoretical Physics 4 Letters in Mathematical Physics 3 Modern Physics Letters A 3 Russian Physics Journal 2 International Journal of Modern Physics A 2 Communications in Mathematical Physics 2 Reports on Mathematical Physics 2 Functional Analysis and its Applications 2 Journal of Algebra 2 Journal of Soviet Mathematics 2 Physical Review Letters 2 International Journal of Geometric Methods in Modern Physics 2 Journal of Statistical Mechanics: Theory and Experiment 2 Symmetry 1 Modern Physics Letters B 1 Journal of Mathematical Analysis and Applications 1 Nuclear Physics. B 1 Reviews in Mathematical Physics 1 Chaos, Solitons and Fractals 1 Journal of Pure and Applied Algebra 1 Acta Applicandae Mathematicae 1 Forum Mathematicum 1 Expositiones Mathematicae 1 St. Petersburg Mathematical Journal 1 Advances in Applied Clifford Algebras 1 Integral Transforms and Special Functions 1 Journal of Mathematical Chemistry 1 Open Systems & Information Dynamics 1 Journal of Modern Optics 1 Czechoslovak Journal of Physics 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Central European Journal of Mathematics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Journal of Physics A: Mathematical and Theoretical 1 Advances in High Energy Physics 1 Physical Review A, Third Series all top 5 Cited in 34 Fields 88 Quantum theory (81-XX) 51 Nonassociative rings and algebras (17-XX) 29 Special functions (33-XX) 13 Statistical mechanics, structure of matter (82-XX) 9 Associative rings and algebras (16-XX) 9 Mechanics of particles and systems (70-XX) 7 Partial differential equations (35-XX) 6 Ordinary differential equations (34-XX) 6 Approximations and expansions (41-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Combinatorics (05-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Topological groups, Lie groups (22-XX) 4 Functional analysis (46-XX) 4 Operator theory (47-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Relativity and gravitational theory (83-XX) 2 Group theory and generalizations (20-XX) 2 Difference and functional equations (39-XX) 2 Integral transforms, operational calculus (44-XX) 2 Differential geometry (53-XX) 2 Probability theory and stochastic processes (60-XX) 2 Numerical analysis (65-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Category theory; homological algebra (18-XX) 1 Functions of a complex variable (30-XX) 1 Abstract harmonic analysis (43-XX) 1 Statistics (62-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year