Edit Profile (opens in new tab) Dudkin, Mykola E. Co-Author Distance Author ID: dudkin.mykola-e Published as: Dudkin, M. E.; Dudkin, Mykola E.; Dudkin, Mykola; Dudkin, M. Ye.; Dudkin, M. more...less Homepage: https://mathsociety.kiev.ua/members/pages/05_D/dudkin_m_ye/index.html Documents Indexed: 36 Publications since 1998, including 3 Books Co-Authors: 11 Co-Authors with 27 Joint Publications 484 Co-Co-Authors all top 5 Co-Authors 9 single-authored 7 Koshmanenko, Volodymyr Dmytrovych 6 Berezans’kyĭ, Yuriĭ Makarovych 5 Dyuzhenkova, O. Yu. 3 Albeverio, Sergio A. 3 Kozak, Valentyna I. 3 Vdovenko, T. I. 2 Vdovenko, Tetiana 1 Bozhok, R. V. 1 Dyuzhenkova, Olga 1 Konstantinov, Alexei 1 Nizhnik, Leonid Pavlovich all top 5 Serials 14 Methods of Functional Analysis and Topology 5 Ukraïns’kyĭ Matematychnyĭ Zhurnal 3 Ukrainian Mathematical Journal 2 Mathematische Nachrichten 2 Matematychni Studiï 2 Bukovyns’kyĭ Matematychnyĭ Zhurnal 2 Operator Theory: Advances and Applications 1 Letters in Mathematical Physics 1 Journal of Mathematical Sciences (New York) 1 Neliniĭni Kolyvannya 1 Visnyk. Matematyka. Mekhanika. Kyïvs’kyĭ Universytet Imeni Tarasa Shevchenka 1 Zbirnyk Prats’ Instytutu Matematyky NAN Ukraïny all top 5 Fields 34 Operator theory (47-XX) 11 Integral transforms, operational calculus (44-XX) 5 Ordinary differential equations (34-XX) 4 Functions of a complex variable (30-XX) 4 Quantum theory (81-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 Functional analysis (46-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Potential theory (31-XX) 1 Partial differential equations (35-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 19 Publications have been cited 54 times in 25 Documents Cited by ▼ Year ▼ The direct and inverse spectral problems for the block Jacobi type unitary matrices. Zbl 1094.47024 Berezansky, Yurij M.; Dudkin, Mykola E. 8 2005 The complex moment problem and direct and inverse spectral problems for the block Jacobi type bounded normal matrices. Zbl 1094.47025 Berezansky, Yurij M.; Dudkin, Mykola E. 5 2006 On the point spectrum of \(\mathcal H_{-2}\)-singular perturbations. Zbl 1120.47007 Albeverio, Sergio; Dudkin, Mykola; Konstantinov, Alexei; Koshmanenko, Volodymyr 5 2007 The method of rigged spaces in singular perturbation theory of self-adjoint operators. Zbl 1447.47010 Koshmanenko, Volodymyr; Dudkin, Mykola 4 2016 The inner structure of the Jacobi-Laurent matrix related to the strong Hamburger moment problem. Zbl 1289.47029 Dudkin, Mykola E. 4 2013 The strong Hamburger moment problem and related direct and inverse spectral problems for block Jacobi-Laurent matrices. Zbl 1221.47024 Berezansky, Yurij M.; Dudkin, Mykola E. 3 2010 An exact inner structure of the block Jacobi-type unitary matrices connected with the corresponding direct and inverse spectral problems. Zbl 1164.47024 Dudkin, Mykola E. 3 2008 On the complex moment problem. Zbl 1116.44003 Berezansky, Yurij M.; Dudkin, Mykola E. 3 2007 On nonsymmetric rank one singular perturbations of selfadjoint operators. Zbl 1363.47025 Dudkin, Mykola; Vdovenko, Tetiana 3 2016 Rank-one singular perturbations with a dual pair of eigenvalues. Zbl 1036.47006 Albeverio, Sergio; Dudkin, Mykola; Koshmanenko, Volodymyr 2 2003 The complex moment problem in the exponential form. Zbl 1077.47014 Berezansky, Yu. M.; Dudkin, M. E. 2 2004 On extensions of linear functionals with applications to non-symmetrically singular perturbations. Zbl 1424.47034 Dudkin, Mykola; Vdovenko, Tetiana 2 2018 Direct and inverse spectral problems for block Jacobi type bounded symmetric matrices related to the two-dimensional real moment problem. Zbl 1324.47033 Dudkin, Mykola E.; Kozak, Valentyna I. 2 2014 Dense subspaces in scales of Hilbert spaces. Zbl 1094.47029 Albeverio, S.; Bozhok, R.; Dudkin, M.; Koshmanenko, V. 2 2005 Dual pair of eigenvalues in rank one singular nonsymmetric perturbations. Zbl 1481.47021 Vdovenko, T. I.; Dudkin, M. E. 2 2017 On the point spectrum of self-adjoint operators that appears under singular perturbations of finite rank. Zbl 1096.47013 Dudkin, M. E.; Koshmanenko, V. D. 1 2003 Two-dimensional half-strong real moment problem and the corresponding block matrices. I. Zbl 07297494 Dudkin, M. E.; Dyuzhenkova, O. Yu. 1 2021 Singularly perturbed normal operators. Zbl 1222.47014 Dudkin, M. E.; Nizhnik, L. P. 1 2010 The complex moment problem in the exponential form and inverse spectral problems for the block Jacobi type correspondence matrices. Zbl 1258.47025 Dudkin, Mykola E. 1 2012 Two-dimensional half-strong real moment problem and the corresponding block matrices. I. Zbl 07297494 Dudkin, M. E.; Dyuzhenkova, O. Yu. 1 2021 On extensions of linear functionals with applications to non-symmetrically singular perturbations. Zbl 1424.47034 Dudkin, Mykola; Vdovenko, Tetiana 2 2018 Dual pair of eigenvalues in rank one singular nonsymmetric perturbations. Zbl 1481.47021 Vdovenko, T. I.; Dudkin, M. E. 2 2017 The method of rigged spaces in singular perturbation theory of self-adjoint operators. Zbl 1447.47010 Koshmanenko, Volodymyr; Dudkin, Mykola 4 2016 On nonsymmetric rank one singular perturbations of selfadjoint operators. Zbl 1363.47025 Dudkin, Mykola; Vdovenko, Tetiana 3 2016 Direct and inverse spectral problems for block Jacobi type bounded symmetric matrices related to the two-dimensional real moment problem. Zbl 1324.47033 Dudkin, Mykola E.; Kozak, Valentyna I. 2 2014 The inner structure of the Jacobi-Laurent matrix related to the strong Hamburger moment problem. Zbl 1289.47029 Dudkin, Mykola E. 4 2013 The complex moment problem in the exponential form and inverse spectral problems for the block Jacobi type correspondence matrices. Zbl 1258.47025 Dudkin, Mykola E. 1 2012 The strong Hamburger moment problem and related direct and inverse spectral problems for block Jacobi-Laurent matrices. Zbl 1221.47024 Berezansky, Yurij M.; Dudkin, Mykola E. 3 2010 Singularly perturbed normal operators. Zbl 1222.47014 Dudkin, M. E.; Nizhnik, L. P. 1 2010 An exact inner structure of the block Jacobi-type unitary matrices connected with the corresponding direct and inverse spectral problems. Zbl 1164.47024 Dudkin, Mykola E. 3 2008 On the point spectrum of \(\mathcal H_{-2}\)-singular perturbations. Zbl 1120.47007 Albeverio, Sergio; Dudkin, Mykola; Konstantinov, Alexei; Koshmanenko, Volodymyr 5 2007 On the complex moment problem. Zbl 1116.44003 Berezansky, Yurij M.; Dudkin, Mykola E. 3 2007 The complex moment problem and direct and inverse spectral problems for the block Jacobi type bounded normal matrices. Zbl 1094.47025 Berezansky, Yurij M.; Dudkin, Mykola E. 5 2006 The direct and inverse spectral problems for the block Jacobi type unitary matrices. Zbl 1094.47024 Berezansky, Yurij M.; Dudkin, Mykola E. 8 2005 Dense subspaces in scales of Hilbert spaces. Zbl 1094.47029 Albeverio, S.; Bozhok, R.; Dudkin, M.; Koshmanenko, V. 2 2005 The complex moment problem in the exponential form. Zbl 1077.47014 Berezansky, Yu. M.; Dudkin, M. E. 2 2004 Rank-one singular perturbations with a dual pair of eigenvalues. Zbl 1036.47006 Albeverio, Sergio; Dudkin, Mykola; Koshmanenko, Volodymyr 2 2003 On the point spectrum of self-adjoint operators that appears under singular perturbations of finite rank. Zbl 1096.47013 Dudkin, M. E.; Koshmanenko, V. D. 1 2003 all cited Publications top 5 cited Publications all top 5 Cited by 36 Authors 5 Dudkin, Mykola E. 4 Dyuzhenkova, O. Yu. 3 Arlins’kyĭ, Yuriĭ Moĭseĭovych 3 Koshmanenko, Volodymyr Dmytrovych 2 Albeverio, Sergio A. 2 Bozhok, R. V. 2 Dobosevych, Oles 2 Hryniv, Rostyslav O. 2 Yuditskii, Peter Meerovich 1 Berezans’kyĭ, Yuriĭ Makarovych 1 Bourget, Olivier 1 Brasche, Johannes Friedemann 1 Chernobai, O. B. 1 Derevyagin, Maxim S. 1 Dudkin, N. E. 1 Eichinger, Benjamin 1 Gesztesy, Fritz 1 Golinskii, Leonid Borisovich 1 Jørgensen, Palle E. T. 1 Karataeva, T. V. 1 Kornelson, Keri A. 1 Kozak, Valentyna I. 1 Krawczyk, Małgorzata J. 1 Kułakowski, Krzysztof 1 Malamud, Mark M. 1 Michelangeli, Alessandro 1 Mitrea, Marius 1 Mokhon’ko, A. A. 1 Neidhardt, Hagen 1 Puchhammer, Florian 1 Sambou, Diomba 1 Shuman, Karen L. 1 Taarabt, Amal 1 Tretter, Christiane 1 Tsekanovskii, Eduard R. 1 Zinchenko, Maxim all top 5 Cited in 20 Serials 4 Ukrainian Mathematical Journal 2 Advances in Mathematics 2 Journal of Functional Analysis 1 Journal d’Analyse Mathématique 1 Physica A 1 Reports on Mathematical Physics 1 Functional Analysis and its Applications 1 Integral Equations and Operator Theory 1 Journal of Approximation Theory 1 Mathematische Nachrichten 1 Memoirs of the American Mathematical Society 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Linear Algebra and its Applications 1 Russian Journal of Mathematical Physics 1 Journal of Mathematical Sciences (New York) 1 Matematychni Studiï 1 Computational Methods and Function Theory 1 Nonlinear Oscillations 1 Complex Analysis and Operator Theory 1 Annals of Functional Analysis all top 5 Cited in 12 Fields 24 Operator theory (47-XX) 4 Ordinary differential equations (34-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Functions of a complex variable (30-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 Partial differential equations (35-XX) 2 Quantum theory (81-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year