Edit Profile Avdonin, Sergeĭ Anatol’evich Compute Distance To: Compute Author ID: avdonin.sergei-anatolevich Published as: Avdonin, S.; Avdonin, S. A.; Avdonin, Sergei; Avdonin, Sergei A.; Avdonin, Sergeĭ Anatol’evich Documents Indexed: 99 Publications since 1974, including 1 Book all top 5 Co-Authors 11 single-authored 24 Ivanov, Sergei A. 11 Mikhaylov, Victor S. 9 Belinsky, Boris P. 8 Belishev, Mikhail Igorevitch 8 Joó, István 5 Edward, Julian 5 Moran, William 5 Pandolfi, Luciano 4 Bell, Jonathan 3 Bulanova, Anna 3 Seidman, Thomas I. 2 Avdonina, Nina 2 de Teresa, Luz 2 Horváth, Miklós 2 Kozlov, Vladimir A. 2 Kurasov, Pavel B. 2 Lenhart, Suzanne M. 2 Leugering, Günter 2 Matthews, John V. 2 Nicaise, Serge 2 Nurtazina, K. B. 2 Nurtazina, Karlygash 2 Protopopescu, Vladimir A. 2 Rozhkov, Yu. S. 2 Russell, David L. 1 Abdon, Choque Rivero 1 Al-Musallam, Fadhel A. 1 Arguchintsev, Aleksandr Valer’evich 1 Choque Rivero, Abdon Eddy 1 Germanovich, O. P. 1 Gesztesy, Fritz 1 Gorshkova, O. Ya. 1 Ishmukhametov, A. Z. 1 Jo, Ishtvan 1 Makarov, Konstantin A. 1 Maxwell, Daniel T. 1 Medhin, Negash G. 1 Murzabekova, Gulden Y. 1 Nicolsky, Dimitry 1 Nowaczyk, Marlena 1 Park, Jeff 1 Poplevko, Vasilisa Pavlovna 1 Ramdani, Karim 1 Rybkin, Alexei 1 Sheronova, T. L. 1 Truffer, M. 1 Tucsnak, Marius 1 Wang, Junmin all top 5 Serials 5 Inverse Problems 5 Journal of Mathematical Sciences (New York) 5 Inverse Problems and Imaging 4 Vestnik Leningrad University. Mathematics 4 Journal of Inverse and Ill-Posed Problems 3 Studia Scientiarum Mathematicarum Hungarica 3 International Journal of Applied Mathematics and Computer Science 2 Journal of Mathematical Analysis and Applications 2 Mathematical Methods in the Applied Sciences 2 Vestnik Leningradskogo Universiteta. Matematika, Mekhanika, Astronomiya 2 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Mathematica 2 Applied Mathematics and Optimization 2 Control and Cybernetics 2 Journal of Soviet Mathematics 2 SIAM Journal on Control and Optimization 2 Soviet Mathematics. Doklady 2 Soviet Journal of Automation and Information Sciences 2 Applied Mathematics Letters 2 Discrete and Continuous Dynamical Systems 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Sampling Theory in Signal and Image Processing 2 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 2 Evolution Equations and Control Theory 1 Communications in Mathematical Physics 1 Journal of Mathematical Biology 1 Mathematical Notes 1 Differential Equations 1 Journal of Computational and Applied Mathematics 1 Quarterly of Applied Mathematics 1 Siberian Mathematical Journal 1 Tamkang Journal of Mathematics 1 Systems & Control Letters 1 Acta Mathematica Hungarica 1 Vestnik Leningradskogo Universiteta. Seriya 1. Matematika, Mekhanika, Astronomiya 1 IMA Journal of Mathematical Control and Information 1 MCSS. Mathematics of Control, Signals, and Systems 1 IEEE Transactions on Signal Processing 1 Mathematics of the USSR, Sbornik 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Matematicheskiĭ Sbornik 1 Applicationes Mathematicae 1 St. Petersburg Mathematical Journal 1 The Journal of Fourier Analysis and Applications 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Voprosy Mekhaniki i Protsessov Upravleniya 1 Mathematical Modelling of Natural Phenomena 1 Analysis and Mathematical Physics 1 Mathematical Control and Related Fields 1 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika 1 Nanosystems. Physics, Chemistry, Mathematics all top 5 Fields 57 Systems theory; control (93-XX) 49 Partial differential equations (35-XX) 10 Functional analysis (46-XX) 10 Mechanics of deformable solids (74-XX) 9 Ordinary differential equations (34-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 8 Information and communication theory, circuits (94-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 6 Integral equations (45-XX) 6 Quantum theory (81-XX) 5 Operator theory (47-XX) 4 Combinatorics (05-XX) 4 Functions of a complex variable (30-XX) 4 Mechanics of particles and systems (70-XX) 3 Numerical analysis (65-XX) 3 Biology and other natural sciences (92-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 78 Publications have been cited 624 times in 323 Documents Cited by ▼ Year ▼ Families of exponentials. The method of moments in controllability problems for distributed parameter systems. Zbl 0866.93001Avdonin, S. A.; Ivanov, S. A. 139 1995 Inverse problems for quantum trees. Zbl 1148.35356Avdonin, Sergei; Kurasov, Pavel 31 2008 Riesz bases formed by exponentials and divided differences. Zbl 0999.42018Avdonin, S. A.; Ivanov, S. A. 22 2002 Ingham-type inequalities and Riesz bases of divided differences. Zbl 1031.93098Avdonin, Sergei; Moran, William 22 2001 The “window problem” for series of complex exponentials. Zbl 0960.42012Seidman, T. I.; Avdonin, S. A.; Ivanov, S. A. 20 2000 On the question of Riesz bases of exponentials in L\(^2\). Zbl 0296.46033Avdonin, S. A. 17 1974 Solving the dynamical inverse problem for the Schrödinger equation by the boundary control method. Zbl 1001.35121Avdonin, Sergei; Lenhart, Suzanne; Protopopescu, Vladimir 16 2002 Boundary control and a matrix inverse problem for the equation \(u_{tt}- u_{xx}+V(x)u=0\). Zbl 0782.93054Avdonin, S. A.; Belishev, M. I.; Ivanov, S. A. 15 1992 Spectral estimation and inverse initial boundary value problems. Zbl 1193.93071Avdonin, Sergei; Gesztesy, Fritz; Makarov, Konstantin A. 13 2010 The boundary control approach to the Titchmarsh-Weyl \(m\)-function. I: The response operator and the \(A\)-amplitude. Zbl 1140.93023Avdonin, Sergei; Mikhaylov, Victor; Rybkin, Alexei 13 2007 The BC-method in the inverse problem for the heat equation. Zbl 0886.35166Avdonin, S. A.; Belishev, M. I.; Rozhkov, Yu. S. 12 1997 Inverse problems for quantum trees. II: Recovering matching conditions for star graphs. Zbl 1208.35166Avdonin, Sergei; Kurasov, Pavel; Nowaczyk, Marlena 10 2010 On an inverse problem for tree-like networks of elastic strings. Zbl 1329.34036Avdonin, S.; Leugering, G.; Mikhaylov, V. 10 2010 Iterative methods for solving a nonlinear boundary inverse problem in glaciology. Zbl 1173.35718Avdonin, S.; Kozlov, V.; Maxwell, D.; Truffer, M. 10 2009 Simultaneous controllability in sharp time for two elastic strings. Zbl 0995.93036Avdonin, Sergei; Tucsnak, Marius 10 2001 Simultaneous control problems for systems of elastic strings and beams. Zbl 0986.93037Avdonin, S. A.; Moran, W. 10 2001 Boundary control and dynamical inverse problem for nonselfadjoint Sturm-Liouville operator (BC-method). Zbl 0859.93030Avdonin, Sergei; Belishev, Mikhail 10 1996 Controllability in a filled domain for a multidimensional wave equation with the singular boundary control. Zbl 0870.93004Avdonin, S. A.; Belishev, M. I.; Ivanov, S. A. 10 1994 Boundary control and an inverse matrix problem for the equation \(u_{tt}-u_{xx}+V(x)u=O\). Zbl 0735.93042Avdonin, S. A.; Belishev, M. I.; Ivanov, S. A. 10 1991 Simultaneous temperature and flux controllability for heat equations with memory. Zbl 1264.76014Avdonin, S.; Pandolfi, L. 9 2013 Erratum to: “The boundary control approach to inverse spectral theory”. Zbl 1221.81153Avdonin, Sergei; Mikhaylov, Victor 9 2010 Determining the potential in the Schrödinger equation from the Dirichlet to Neumann map by the boundary control method. Zbl 1095.35061Avdonin, S.; Lenhart, S.; Protopopescu, V. 9 2005 On the question of Riesz bases of exponential functions in \(L^2\). Zbl 0427.46016Avdonin, S. A. 9 1979 Control problems on quantum graphs. Zbl 1153.81483Avdonin, Sergei 8 2008 A generating matrix-valued function in problems of controlling the vibrations of connected strings. Zbl 0735.35011Avdonin, S. A.; Ivanov, S. A. 8 1989 Riesz bases of exponentials and sine-type functions. Zbl 0645.42027Avdonin, S. A.; Joó, I. 8 1988 Exact controllability for string with attached masses. Zbl 1390.93395Avdonin, Sergei; Edward, Julian 7 2018 Reconstructing the potential for the one-dimensional Schrödinger equation from boundary measurements. Zbl 1286.49039Avdonin, Sergei A.; Mikhaylov, Victor S.; Ramdani, Karim 7 2014 Exponential bases in Sobolev spaces in control and observation problems for the wave equation. Zbl 0966.93057Avdonin, S. A.; Ivanov, S. A.; Russell, D. L. 7 2000 Exact boundary controllability of coupled hyperbolic equations. Zbl 1284.93038Avdonin, Sergei; Choque Rivero, Abdon; de Teresa, Luz 6 2013 On controllability of a non-homogeneous elastic string with memory. Zbl 1252.93022Avdonin, Sergei A.; Belinskiy, Boris P. 6 2013 Boundary control approach to the spectral estimation problem: the case of multiple poles. Zbl 1248.93076Avdonin, Sergei; Bulanova, Anna 6 2011 The boundary control approach to inverse spectral theory. Zbl 1187.81203Avdonin, Sergei; Mikhaylov, Victor 6 2010 Construction of sampling and interpolating sequences for multi-band signals. The two-band case. Zbl 1275.94020Avdonin, Sergei; Bulanova, Anna; Moran, William 6 2007 On the basis properties of the functions arising in the boundary control problem of a string with a variable tension. Zbl 1162.93006Avdonin, Sergei A.; Belinskiy, Boris P. 6 2005 Controllability of a string under tension. Zbl 1067.93033Avdonin, Sergei A.; Belinskiy, Boris P. 6 2003 Identification of \(q(x)\) in \(u_ t=\Delta u-qu\) from boundary observations. Zbl 0828.93021Avdonin, Sergei; Seidman, Thomas I. 6 1995 Temperature and heat flux dependence/independence for heat equations with memory. Zbl 1298.93067Avdonin, Sergei; Pandolfi, Luciano 5 2012 Dynamical inverse problem on a metric tree. Zbl 1225.35254Avdonin, S. A.; Belinskiy, B. P.; Matthews, J. V. 5 2011 On the inverse problem of the two-velocity tree-like graph. Zbl 1335.35290Avdonin, Sergei; Abdon, Choque Rivero; Leugering, Günter; Mikhaylov, Victor 4 2015 Determining a distributed conductance parameter for a neuronal cable model defined on a tree graph. Zbl 1364.92004Avdonin, Sergei; Bell, Jonathan 4 2015 Controllability of a nonhomogeneous string and ring under time dependent tension. Zbl 1193.93070Avdonin, S. A.; Belinskiy, B. P.; Pandolfi, L. 4 2010 On controllability of an elastic ring. Zbl 1211.93017Avdonin, Sergei A.; Belinskiy, Boris P.; Ivanov, Sergei A. 4 2009 Boundary control approach to the spectral estimation problem: the case of simple poles. Zbl 1182.93022Avdonin, Sergei; Bulanova, Anna; Nicolsky, Dimitry 4 2009 Controllability of partial differential equations on graphs. Zbl 1151.93004Avdonin, Sergei; Mikhaylov, Victor 4 2008 A linear algorithm for the identification of a weakly singular relaxation kernel using two boundary measurements. Zbl 1390.45007Avdonin, Sergei; Pandolfi, Luciano 3 2018 The spectral estimation problem in infinite-dimensional spaces. Zbl 1348.46074Avdonin, S. A.; Mikhaylov, V. S. 3 2015 Source identification for the wave equation on graphs. Zbl 1322.35171Avdonin, Sergei; Nicaise, Serge 3 2014 Determining a distributed parameter in a neural cable model via a boundary control method. Zbl 1264.92011Avdonin, Sergei; Bell, Jonathan 3 2013 Boundary control method and coefficient identification in the presence of boundary dissipation. Zbl 1175.93059Avdonin, S. A.; Pandolfi, L. 3 2009 On controllability of a rotating string. Zbl 1112.93008Avdonin, Sergei A.; Belinskiy, Boris P. 3 2006 Identification of a piecewise constant coefficient in the beam equation. Zbl 0954.74042Avdonin, S. A.; Medhin, N. G.; Sheronova, T. L. 3 2000 Controllability types of a circular membrane with rotationally symmetric data. Zbl 0964.93016Avdonin, S. A.; Ivanov, S. A. 3 1999 Sampling and interpolation of functions with multi-band spectra and controllability problems. Zbl 0933.35026Avdonin, Sergei; Moran, William 3 1999 Boundary inverse problems for networks of vibrating strings with attached masses. Zbl 1390.35410Avdonin, Sergei; Avdonina, Nina; Edward, Julian 2 2016 Control and inverse problems for networks of vibrating strings with attached masses. Zbl 1371.35336Al-Musallam, F.; Avdonin, S.; Avdonina, N.; Edward, J. 2 2016 Source identification problems for the wave equation on graphs. Zbl 1330.35485Avdonin, Sergei; Nicaise, Serge 2 2015 Inverse source problem for the 1D Schrödinger equation. Zbl 1254.35239Avdonin, S. A.; Mikhaylov, V. S. 2 2012 Inverse problem on the semi-axis: local approach. Zbl 1230.35061Avdonin, S. A.; Belinskiy, B. P.; Matthews, John V. 2 2011 Sampling and interpolation problems for vector valued signals in the Paley-Wiener spaces. Zbl 1390.94647Avdonin, Sergei A.; Ivanov, Sergei A. 2 2008 Dynamical inverse problem for the Schrödinger equation (BC-method). Zbl 1194.35496Avdonin, S. A.; Belishev, M. I. 2 2005 Exponential bases in Sobolev spaces in control and observation problems. Zbl 0935.35014Avdonin, Sergei A.; Ivanov, Sergei A.; Russell, David L. 2 1999 The dynamical inverse problem for a nonselfadjoint Sturm-Liouville operator. Zbl 0991.34021Avdonin, S. A.; Belishev, M. I.; Rozhkov, Yu. S. 2 1998 Dirichlet boundary control in a capture region for the multidimensional wave equation. Zbl 0860.93015Avdonin, S. A.; Belishev, M. I.; Ivanov, S. A. 2 1991 Controllability for a string with attached masses and Riesz bases for asymmetric spaces. Zbl 1429.93035Avdonin, Sergei; Edward, Julian 1 2019 Inverse problems for the heat equation with memory. Zbl 1407.45006Avdonin, Sergei A.; Ivanov, Sergei A.; Wang, Jun-Min 1 2019 On inverse dynamical and spectral problems for the wave and Schrödinger equations on finite trees. The leaf peeling method. Zbl 1386.81084Avdonin, S. A.; Mikhaylov, V. S.; Nurtazina, K. B. 1 2017 Source identification for the differential equation with memory. Zbl 1383.35233Avdonin, S. A.; Murzabekova, G. Y.; Nurtazina, K. B. 1 2017 Determining distributed parameters in a neuronal cable model on a tree graph. Zbl 1366.93119Avdonin, Sergei; Bell, Jonathan; Nurtazina, Karlygash 1 2017 On controllability of a linear elastic beam with memory under longitudinal load. Zbl 1302.93041Avdonin, Sergei A.; Belinskiy, Boris P. 1 2014 Sampling of multi-band signals. Zbl 0992.94502Moran, Bill; Avdonin, Sergei 1 2000 The Levin-Golovin theorem for Sobolev spaces. Zbl 0989.46017Avdonin, S. A.; Ivanov, S. A. 1 2000 Exponential series in the problems of initial and pointwise control of a rectangular vibrating membrane. Zbl 0863.93041Avdonin, S. A.; Ivanov, S. A.; Joó, I. 1 1995 Boundary controllability problems for the wave equation in a parallelepiped. Zbl 0822.93011Avdonin, S.; Ivanov, S. A. 1 1995 Controllability and quasicontrollability of parabolic systems with delay. Zbl 0806.93027Avdonin, S. A.; Gorshkova, O. Ya. 1 1992 Family of exponents and controllability of a rectangular membrane. Zbl 0743.93015Avdonin, S. A.; Ivanov, S. A.; Joó, I. 1 1990 On Riesz bases from vector exponentials. I. Zbl 0725.30036Avdonin, S. A.; Ivanov, S. A.; Joó, I. 1 1989 On the solution of the exponential moment problem in the space \(L^2(0,\infty)\). Zbl 0409.42007Avdonin, S. A. 1 1977 Controllability for a string with attached masses and Riesz bases for asymmetric spaces. Zbl 1429.93035Avdonin, Sergei; Edward, Julian 1 2019 Inverse problems for the heat equation with memory. Zbl 1407.45006Avdonin, Sergei A.; Ivanov, Sergei A.; Wang, Jun-Min 1 2019 Exact controllability for string with attached masses. Zbl 1390.93395Avdonin, Sergei; Edward, Julian 7 2018 A linear algorithm for the identification of a weakly singular relaxation kernel using two boundary measurements. Zbl 1390.45007Avdonin, Sergei; Pandolfi, Luciano 3 2018 On inverse dynamical and spectral problems for the wave and Schrödinger equations on finite trees. The leaf peeling method. Zbl 1386.81084Avdonin, S. A.; Mikhaylov, V. S.; Nurtazina, K. B. 1 2017 Source identification for the differential equation with memory. Zbl 1383.35233Avdonin, S. A.; Murzabekova, G. Y.; Nurtazina, K. B. 1 2017 Determining distributed parameters in a neuronal cable model on a tree graph. Zbl 1366.93119Avdonin, Sergei; Bell, Jonathan; Nurtazina, Karlygash 1 2017 Boundary inverse problems for networks of vibrating strings with attached masses. Zbl 1390.35410Avdonin, Sergei; Avdonina, Nina; Edward, Julian 2 2016 Control and inverse problems for networks of vibrating strings with attached masses. Zbl 1371.35336Al-Musallam, F.; Avdonin, S.; Avdonina, N.; Edward, J. 2 2016 On the inverse problem of the two-velocity tree-like graph. Zbl 1335.35290Avdonin, Sergei; Abdon, Choque Rivero; Leugering, Günter; Mikhaylov, Victor 4 2015 Determining a distributed conductance parameter for a neuronal cable model defined on a tree graph. Zbl 1364.92004Avdonin, Sergei; Bell, Jonathan 4 2015 The spectral estimation problem in infinite-dimensional spaces. Zbl 1348.46074Avdonin, S. A.; Mikhaylov, V. S. 3 2015 Source identification problems for the wave equation on graphs. Zbl 1330.35485Avdonin, Sergei; Nicaise, Serge 2 2015 Reconstructing the potential for the one-dimensional Schrödinger equation from boundary measurements. Zbl 1286.49039Avdonin, Sergei A.; Mikhaylov, Victor S.; Ramdani, Karim 7 2014 Source identification for the wave equation on graphs. Zbl 1322.35171Avdonin, Sergei; Nicaise, Serge 3 2014 On controllability of a linear elastic beam with memory under longitudinal load. Zbl 1302.93041Avdonin, Sergei A.; Belinskiy, Boris P. 1 2014 Simultaneous temperature and flux controllability for heat equations with memory. Zbl 1264.76014Avdonin, S.; Pandolfi, L. 9 2013 Exact boundary controllability of coupled hyperbolic equations. Zbl 1284.93038Avdonin, Sergei; Choque Rivero, Abdon; de Teresa, Luz 6 2013 On controllability of a non-homogeneous elastic string with memory. Zbl 1252.93022Avdonin, Sergei A.; Belinskiy, Boris P. 6 2013 Determining a distributed parameter in a neural cable model via a boundary control method. Zbl 1264.92011Avdonin, Sergei; Bell, Jonathan 3 2013 Temperature and heat flux dependence/independence for heat equations with memory. Zbl 1298.93067Avdonin, Sergei; Pandolfi, Luciano 5 2012 Inverse source problem for the 1D Schrödinger equation. Zbl 1254.35239Avdonin, S. A.; Mikhaylov, V. S. 2 2012 Boundary control approach to the spectral estimation problem: the case of multiple poles. Zbl 1248.93076Avdonin, Sergei; Bulanova, Anna 6 2011 Dynamical inverse problem on a metric tree. Zbl 1225.35254Avdonin, S. A.; Belinskiy, B. P.; Matthews, J. V. 5 2011 Inverse problem on the semi-axis: local approach. Zbl 1230.35061Avdonin, S. A.; Belinskiy, B. P.; Matthews, John V. 2 2011 Spectral estimation and inverse initial boundary value problems. Zbl 1193.93071Avdonin, Sergei; Gesztesy, Fritz; Makarov, Konstantin A. 13 2010 Inverse problems for quantum trees. II: Recovering matching conditions for star graphs. Zbl 1208.35166Avdonin, Sergei; Kurasov, Pavel; Nowaczyk, Marlena 10 2010 On an inverse problem for tree-like networks of elastic strings. Zbl 1329.34036Avdonin, S.; Leugering, G.; Mikhaylov, V. 10 2010 Erratum to: “The boundary control approach to inverse spectral theory”. Zbl 1221.81153Avdonin, Sergei; Mikhaylov, Victor 9 2010 The boundary control approach to inverse spectral theory. Zbl 1187.81203Avdonin, Sergei; Mikhaylov, Victor 6 2010 Controllability of a nonhomogeneous string and ring under time dependent tension. Zbl 1193.93070Avdonin, S. A.; Belinskiy, B. P.; Pandolfi, L. 4 2010 Iterative methods for solving a nonlinear boundary inverse problem in glaciology. Zbl 1173.35718Avdonin, S.; Kozlov, V.; Maxwell, D.; Truffer, M. 10 2009 On controllability of an elastic ring. Zbl 1211.93017Avdonin, Sergei A.; Belinskiy, Boris P.; Ivanov, Sergei A. 4 2009 Boundary control approach to the spectral estimation problem: the case of simple poles. Zbl 1182.93022Avdonin, Sergei; Bulanova, Anna; Nicolsky, Dimitry 4 2009 Boundary control method and coefficient identification in the presence of boundary dissipation. Zbl 1175.93059Avdonin, S. A.; Pandolfi, L. 3 2009 Inverse problems for quantum trees. Zbl 1148.35356Avdonin, Sergei; Kurasov, Pavel 31 2008 Control problems on quantum graphs. Zbl 1153.81483Avdonin, Sergei 8 2008 Controllability of partial differential equations on graphs. Zbl 1151.93004Avdonin, Sergei; Mikhaylov, Victor 4 2008 Sampling and interpolation problems for vector valued signals in the Paley-Wiener spaces. Zbl 1390.94647Avdonin, Sergei A.; Ivanov, Sergei A. 2 2008 The boundary control approach to the Titchmarsh-Weyl \(m\)-function. I: The response operator and the \(A\)-amplitude. Zbl 1140.93023Avdonin, Sergei; Mikhaylov, Victor; Rybkin, Alexei 13 2007 Construction of sampling and interpolating sequences for multi-band signals. The two-band case. Zbl 1275.94020Avdonin, Sergei; Bulanova, Anna; Moran, William 6 2007 On controllability of a rotating string. Zbl 1112.93008Avdonin, Sergei A.; Belinskiy, Boris P. 3 2006 Determining the potential in the Schrödinger equation from the Dirichlet to Neumann map by the boundary control method. Zbl 1095.35061Avdonin, S.; Lenhart, S.; Protopopescu, V. 9 2005 On the basis properties of the functions arising in the boundary control problem of a string with a variable tension. Zbl 1162.93006Avdonin, Sergei A.; Belinskiy, Boris P. 6 2005 Dynamical inverse problem for the Schrödinger equation (BC-method). Zbl 1194.35496Avdonin, S. A.; Belishev, M. I. 2 2005 Controllability of a string under tension. Zbl 1067.93033Avdonin, Sergei A.; Belinskiy, Boris P. 6 2003 Riesz bases formed by exponentials and divided differences. Zbl 0999.42018Avdonin, S. A.; Ivanov, S. A. 22 2002 Solving the dynamical inverse problem for the Schrödinger equation by the boundary control method. Zbl 1001.35121Avdonin, Sergei; Lenhart, Suzanne; Protopopescu, Vladimir 16 2002 Ingham-type inequalities and Riesz bases of divided differences. Zbl 1031.93098Avdonin, Sergei; Moran, William 22 2001 Simultaneous controllability in sharp time for two elastic strings. Zbl 0995.93036Avdonin, Sergei; Tucsnak, Marius 10 2001 Simultaneous control problems for systems of elastic strings and beams. Zbl 0986.93037Avdonin, S. A.; Moran, W. 10 2001 The “window problem” for series of complex exponentials. Zbl 0960.42012Seidman, T. I.; Avdonin, S. A.; Ivanov, S. A. 20 2000 Exponential bases in Sobolev spaces in control and observation problems for the wave equation. Zbl 0966.93057Avdonin, S. A.; Ivanov, S. A.; Russell, D. L. 7 2000 Identification of a piecewise constant coefficient in the beam equation. Zbl 0954.74042Avdonin, S. A.; Medhin, N. G.; Sheronova, T. L. 3 2000 Sampling of multi-band signals. Zbl 0992.94502Moran, Bill; Avdonin, Sergei 1 2000 The Levin-Golovin theorem for Sobolev spaces. Zbl 0989.46017Avdonin, S. A.; Ivanov, S. A. 1 2000 Controllability types of a circular membrane with rotationally symmetric data. Zbl 0964.93016Avdonin, S. A.; Ivanov, S. A. 3 1999 Sampling and interpolation of functions with multi-band spectra and controllability problems. Zbl 0933.35026Avdonin, Sergei; Moran, William 3 1999 Exponential bases in Sobolev spaces in control and observation problems. Zbl 0935.35014Avdonin, Sergei A.; Ivanov, Sergei A.; Russell, David L. 2 1999 The dynamical inverse problem for a nonselfadjoint Sturm-Liouville operator. Zbl 0991.34021Avdonin, S. A.; Belishev, M. I.; Rozhkov, Yu. S. 2 1998 The BC-method in the inverse problem for the heat equation. Zbl 0886.35166Avdonin, S. A.; Belishev, M. I.; Rozhkov, Yu. S. 12 1997 Boundary control and dynamical inverse problem for nonselfadjoint Sturm-Liouville operator (BC-method). Zbl 0859.93030Avdonin, Sergei; Belishev, Mikhail 10 1996 Families of exponentials. The method of moments in controllability problems for distributed parameter systems. Zbl 0866.93001Avdonin, S. A.; Ivanov, S. A. 139 1995 Identification of \(q(x)\) in \(u_ t=\Delta u-qu\) from boundary observations. Zbl 0828.93021Avdonin, Sergei; Seidman, Thomas I. 6 1995 Exponential series in the problems of initial and pointwise control of a rectangular vibrating membrane. Zbl 0863.93041Avdonin, S. A.; Ivanov, S. A.; Joó, I. 1 1995 Boundary controllability problems for the wave equation in a parallelepiped. Zbl 0822.93011Avdonin, S.; Ivanov, S. A. 1 1995 Controllability in a filled domain for a multidimensional wave equation with the singular boundary control. Zbl 0870.93004Avdonin, S. A.; Belishev, M. I.; Ivanov, S. A. 10 1994 Boundary control and a matrix inverse problem for the equation \(u_{tt}- u_{xx}+V(x)u=0\). Zbl 0782.93054Avdonin, S. A.; Belishev, M. I.; Ivanov, S. A. 15 1992 Controllability and quasicontrollability of parabolic systems with delay. Zbl 0806.93027Avdonin, S. A.; Gorshkova, O. Ya. 1 1992 Boundary control and an inverse matrix problem for the equation \(u_{tt}-u_{xx}+V(x)u=O\). Zbl 0735.93042Avdonin, S. A.; Belishev, M. I.; Ivanov, S. A. 10 1991 Dirichlet boundary control in a capture region for the multidimensional wave equation. Zbl 0860.93015Avdonin, S. A.; Belishev, M. I.; Ivanov, S. A. 2 1991 Family of exponents and controllability of a rectangular membrane. Zbl 0743.93015Avdonin, S. A.; Ivanov, S. A.; Joó, I. 1 1990 A generating matrix-valued function in problems of controlling the vibrations of connected strings. Zbl 0735.35011Avdonin, S. A.; Ivanov, S. A. 8 1989 On Riesz bases from vector exponentials. I. Zbl 0725.30036Avdonin, S. A.; Ivanov, S. A.; Joó, I. 1 1989 Riesz bases of exponentials and sine-type functions. Zbl 0645.42027Avdonin, S. A.; Joó, I. 8 1988 On the question of Riesz bases of exponential functions in \(L^2\). Zbl 0427.46016Avdonin, S. A. 9 1979 On the solution of the exponential moment problem in the space \(L^2(0,\infty)\). Zbl 0409.42007Avdonin, S. A. 1 1977 On the question of Riesz bases of exponentials in L\(^2\). Zbl 0296.46033Avdonin, S. A. 17 1974 all cited Publications top 5 cited Publications all top 5 Cited by 353 Authors 34 Avdonin, Sergeĭ Anatol’evich 21 Belishev, Mikhail Igorevitch 17 Xu, Gen-Qi 14 Mikhaylov, Victor S. 13 Pandolfi, Luciano 12 Boumenir, Amin A. 12 Ivanov, Sergei A. 9 Vu Kim Tuan 9 Zuazua, Enrique 8 Micu, Sorin 7 Guo, Bao-Zhu 7 Sklyar, Grigory Mikhailovitch 6 Belinsky, Boris P. 6 Han, Zhongjie 6 Kurasov, Pavel B. 6 Wang, Junmin 5 Martinez, Patrick 5 Mikhaylov, Alexander S. 5 Roventa, Ionel 5 Tucsnak, Marius 4 Bellassoued, Mourad 4 Cannarsa, Piermarco 4 Edward, Julian 4 Guo, Yanni 4 Halanay, Andrei D. 4 Ibragimov, Gafurjan I. 4 Jacob, Birgit 4 Jeribi, Aref 4 Leugering, Günter 4 Sakhnovich, Alexander L. 4 Tukhtasinov, M. T. 4 Vancostenoble, Judith 3 Al-Musallam, Fadhel A. 3 Beauchard, Karine 3 Bell, Jonathan 3 Ben Amara, Jamel 3 Bugariu, Ioan Florin 3 Chentouf, Boumediène 3 Joó, István 3 Lev, Nir 3 Mikhaylov, Alexandr 3 Miller, Luc 3 Shang, Yingfeng 3 Shubov, Marianna A. 3 Spitkovsky, Ilya M. 3 Szkibiel, Grzegorz 3 Vakulenko, Aleksei F. 3 Vlasov, Viktor Valentinovich 3 Zhang, Xu 2 Avalos, George 2 Bulanova, Anna 2 Choulli, Mourad 2 Dáger, René 2 de Teresa, Luz 2 Ellouz, Hanen 2 Ershova, Yulia Yu. 2 Feki, Ines 2 Fricain, Emmanuel 2 Fritzsche, Bernd 2 Gaunard, Frédéric 2 Grepstad, Sigrid 2 Gugat, Martin 2 Helsing, Johan 2 Hryniv, Rostyslav O. 2 Johansson, B. Tomas 2 Kachalov, Aleksandr Pavlovich 2 Karlovich, Yuri I. 2 Karpenko, Irina I. 2 Kellay, Karim 2 Kian, Yavar 2 Kirstein, Bernd 2 Kiselev, Alexander V. 2 Klibanov, Michael V. 2 Kozlov, Vladimir A. 2 Lasiecka, Irena 2 Lassas, Matti 2 Laurent, Camille 2 Lissy, Pierre 2 Loreti, Paola 2 Mitra, Debanjana 2 Moran, William 2 Nikol’skiĭ, Nikolaĭ Kapitonovich 2 Omari, Youssef 2 Partington, Jonathan R. 2 Ramdani, Karim 2 Rautian, Nadegda Aleksandrovna 2 Rebarber, Richard 2 Russell, David L. 2 Rybkin, Alexei 2 Satimov, Numan Yunusovich 2 Soccorsi, Eric 2 Tenenbaum, Gérald 2 Trélat, Emmanuel 2 Walha, Ines 2 Weiss, George 2 Woźniak, Jarosław 2 Yamamoto, Masahiro 2 Zhang, Yaxuan 2 Zhao, Zhixue 2 Zwart, Hans J. ...and 253 more Authors all top 5 Cited in 105 Serials 31 Journal of Mathematical Analysis and Applications 23 Journal of Mathematical Sciences (New York) 15 Journal of Differential Equations 13 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 11 Journal of Functional Analysis 11 Systems & Control Letters 10 SIAM Journal on Control and Optimization 10 Evolution Equations and Control Theory 6 Mathematical Methods in the Applied Sciences 6 The Journal of Fourier Analysis and Applications 5 Applicable Analysis 5 Mathematical Notes 5 Proceedings of the American Mathematical Society 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Journal of Inverse and Ill-Posed Problems 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Inverse Problems and Imaging 5 Mathematical Control and Related Fields 4 MCSS. Mathematics of Control, Signals, and Systems 4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 4 International Journal of Applied Mathematics and Computer Science 3 Journal of Mathematical Physics 3 Applied Mathematics and Computation 3 Automatica 3 Integral Equations and Operator Theory 3 Numerical Functional Analysis and Optimization 3 Transactions of the American Mathematical Society 3 Acta Mathematica Hungarica 3 Applied Mathematics Letters 3 Fractional Calculus & Applied Analysis 3 Journal of Systems Science and Complexity 3 Inverse Problems in Science and Engineering 3 Discrete and Continuous Dynamical Systems. 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Analyse Non Linéaire 2 SIAM Journal on Scientific Computing 2 Electronic Journal of Differential Equations (EJDE) 2 Discrete and Continuous Dynamical Systems 2 Abstract and Applied Analysis 2 Journal of Dynamical and Control Systems 2 Complex Analysis and Operator Theory 2 Journal of Physics A: Mathematical and Theoretical 2 Mathematical Modelling of Natural Phenomena 2 Journal of Spectral Theory 1 Computers & Mathematics with Applications 1 Communications in Mathematical Physics 1 Journal d’Analyse Mathématique 1 Journal of the Franklin Institute 1 Journal of Mathematical Biology 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Reports on Mathematical Physics 1 Russian Mathematical Surveys 1 Studia Mathematica 1 Mathematics of Computation 1 Advances in Mathematics 1 Archiv der Mathematik 1 Collectanea Mathematica 1 Czechoslovak Mathematical Journal 1 Glasgow Mathematical Journal 1 Inventiones Mathematicae 1 Journal of Approximation Theory 1 Journal of Computational and Applied Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Journal of Optimization Theory and Applications 1 Mathematika 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerische Mathematik 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Quarterly of Applied Mathematics 1 Zeitschrift für Analysis und ihre Anwendungen 1 Applied Numerical Mathematics 1 Asymptotic Analysis 1 Computational Mathematics and Modeling 1 International Journal of Adaptive Control and Signal Processing 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Automation and Remote Control 1 SIAM Journal on Mathematical Analysis 1 Computational Optimization and Applications 1 Journal of Computer and Systems Sciences International 1 Zapiski Nauchnykh Seminarov POMI 1 Applied and Computational Harmonic Analysis 1 St. Petersburg Mathematical Journal 1 Mathematical Problems in Engineering 1 Journal of Applied Analysis 1 Computational Geosciences 1 Communications in Contemporary Mathematics 1 Differential Equations 1 Nonlinear Analysis. Real World Applications 1 Journal of Evolution Equations 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Central European Journal of Mathematics ...and 5 more Serials all top 5 Cited in 41 Fields 160 Partial differential equations (35-XX) 156 Systems theory; control (93-XX) 48 Mechanics of deformable solids (74-XX) 45 Operator theory (47-XX) 43 Ordinary differential equations (34-XX) 26 Harmonic analysis on Euclidean spaces (42-XX) 24 Numerical analysis (65-XX) 21 Functions of a complex variable (30-XX) 18 Functional analysis (46-XX) 18 Quantum theory (81-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 16 Integral equations (45-XX) 12 Mechanics of particles and systems (70-XX) 12 Information and communication theory, circuits (94-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Fluid mechanics (76-XX) 6 Combinatorics (05-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Biology and other natural sciences (92-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Number theory (11-XX) 3 Special functions (33-XX) 3 Integral transforms, operational calculus (44-XX) 3 Computer science (68-XX) 3 Optics, electromagnetic theory (78-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Real functions (26-XX) 2 Potential theory (31-XX) 2 Difference and functional equations (39-XX) 2 Abstract harmonic analysis (43-XX) 2 Convex and discrete geometry (52-XX) 2 Probability theory and stochastic processes (60-XX) 2 Geophysics (86-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Approximations and expansions (41-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) Citations by Year