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Bolotnikov, Vladimir

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Author ID: bolotnikov.vladimir Recent zbMATH articles by "Bolotnikov, Vladimir"
Published as: Bolotnikov, V.; Bolotnikov, V. A.; Bolotnikov, Vladimir
Documents Indexed: 136 Publications since 1988, including 4 Books
Reviewing Activity: 13 Reviews
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Serials

20 Integral Equations and Operator Theory
15 Linear Algebra and its Applications
8 Journal of Mathematical Analysis and Applications
7 Proceedings of the American Mathematical Society
5 Zeitschrift für Analysis und ihre Anwendungen
4 Journal of Functional Analysis
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Indiana University Mathematics Journal
3 ELA. The Electronic Journal of Linear Algebra
3 Analysis and Mathematical Physics
3 Operator Theory: Advances and Applications
2 Communications in Algebra
2 Houston Journal of Mathematics
2 Linear and Multilinear Algebra
2 Archiv der Mathematik
2 Mathematische Nachrichten
2 Journal of Operator Theory
2 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
2 Operators and Matrices
1 Journal d’Analyse Mathématique
1 Acta Scientiarum Mathematicarum
1 Functiones et Approximatio. Commentarii Mathematici
1 Journal of Approximation Theory
1 Journal of Computational and Applied Mathematics
1 Journal of Soviet Mathematics
1 Memoirs of the American Mathematical Society
1 Transactions of the American Mathematical Society
1 Revista Matemática Iberoamericana
1 Multidimensional Systems and Signal Processing
1 Teoriya Funktsiĭ, Funktsional’nyĭ Analiz i ikh Prilozheniya
1 Bulletin of the Belgian Mathematical Society - Simon Stevin
1 The New York Journal of Mathematics
1 Positivity
1 Journal of the Australian Mathematical Society
1 Computational Methods and Function Theory
1 Journal of Algebra and its Applications
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Complex Variables and Elliptic Equations

Publications by Year

Citations contained in zbMATH Open

110 Publications have been cited 626 times in 318 Documents Cited by Year
On boundary interpolation for matrix valued Schur functions. Zbl 1182.47017
Bolotnikov, Vladimir; Dym, Harry
27
2006
Realization and interpolation for Schur–Agler-class functions on domains with matrix polynomial defining function in \(\mathbb C^{n}\). Zbl 1061.47014
Ball, Joseph A.; Bolotnikov, Vladimir
22
2004
Self-mappings of the quaternionic unit ball: multiplier properties, the Schwarz-Pick inequality, and the Nevanlinna-Pick interpolation problem. Zbl 1318.30075
Alpay, Daniel; Bolotnikov, Vladimir; Colombo, Fabrizio; Sabadini, Irene
20
2015
The higher order Carathéodory-Julia theorem and related boundary interpolation problems. Zbl 1146.30018
Bolotnikov, Vladimir; Kheifets, Alexander
17
2008
On degenerate interpolation, entropy and extremal problems for matrix Schur functions. Zbl 0922.47009
Bolotnikov, Vladimir; Dym, Harry
17
1998
On degenerate Hamburger moment problem and extensions of nonnegative Hankel block matrices. Zbl 0856.47014
Bolotnikov, Vladimir
16
1996
Canonical de Branges-Rovnyak model transfer-function realization for multivariable Schur-class functions. Zbl 1210.47041
Ball, Joseph A.; Bolotnikov, Vladimir
13
2010
A higher order analogue of the Carathéodory–Julia theorem. Zbl 1102.30028
Bolotnikov, Vladimir; Kheifets, Alexander
13
2006
Weighted Bergman spaces: shift-invariant subspaces and input/state/output linear systems. Zbl 1290.47014
Ball, Joseph A.; Bolotnikov, Vladimir
12
2013
Inequalities for angular derivatives and boundary interpolation. Zbl 1293.30094
Bolotnikov, Vladimir; Elin, Mark; Shoikhet, David
12
2013
On an operator approach to interpolation problems for Stieltjes functions. Zbl 0952.47016
Bolotnikov, V.; Sakhnovich, L.
12
1999
Weighted Hardy spaces: shift invariant and coinvariant subspaces, linear systems and operator model theory. Zbl 1324.47022
Ball, Joseph A.; Bolotnikov, Vladimir
11
2013
Interpolation problems for Schur multipliers on the Drury–Arveson space: from Nevanlinna–Pick to abstract interpolation problem. Zbl 1170.47006
Ball, Joseph A.; Bolotnikov, Vladimir
11
2008
Schur-class multipliers on the Fock space: de Branges-Rovnyak reproducing kernel spaces and transfer-function realizations. Zbl 1199.47061
Ball, Joseph A.; Bolotnikov, Vladimir; Fang, Quanlei
11
2007
Interpolation in the noncommutative Schur–Agler class. Zbl 1164.47023
Ball, Joseph A.; Bolotnikov, Vladimir
11
2007
Interpolation for multipliers on reproducing kernel Hilbert spaces. Zbl 1010.41002
Bolotnikov, Vladimir
11
2003
The Schur algorithm and reproducing kernel Hilbert spaces in the ball. Zbl 1015.47008
Alpay, Daniel; Bolotnikov, Vladimir; Kaptanoğlu, H. Turgay
11
2002
Schur-class multipliers on the Arveson space: de Branges-Rovnyak reproducing kernel spaces and commutative transfer-function realizations. Zbl 1223.47012
Ball, Joseph A.; Bolotnikov, Vladimir; Fang, Quanlei
10
2008
On tangential interpolation in reproducing kernel Hilbert modules and applications. Zbl 0931.46024
Alpay, D.; Bolotnikov, V.
10
1997
Two-sided interpolation for matrix functions with entries in the Hardy space. Zbl 0828.15025
Alpay, Daniel; Bolotnikov, Vladimir
10
1995
On some operator colligations and associated reproducing kernel Hilbert spaces. Zbl 0794.47006
Alpay, Daniel; Bolotnikov, Vladimir; Dijksma, Aad; de Snoo, Henk
10
1993
A Beurling type theorem in weighted Bergman spaces. Zbl 1277.47012
Ball, Joseph A.; Bolotnikov, Vladimir
9
2013
On higher order boundary derivatives of an analytic self-map of the unit disk. Zbl 1256.30019
Bolotnikov, Vladimir
9
2011
Carathéodory-Julia type conditions and symmetries of boundary asymptotics for analytic functions on the unit disk. Zbl 1179.41001
Bolotnikov, Vladimir; Kheifets, Alexander
9
2009
Multivariable backward-shift-invariant subspaces and observability operators. Zbl 1156.47012
Ball, Joseph A.; Bolotnikov, Vladimir; Fang, Quanlei
9
2007
Transfer-function realization for multipliers of the Arveson space. Zbl 1126.47011
Ball, Joseph A.; Bolotnikov, Vladimir; Fang, Quanlei
9
2007
Degenerate Stieltjes moment problem and associated \(J\)-inner polynomials. Zbl 0828.47012
Bolotnikov, V.
9
1995
A uniqueness result on boundary interpolation. Zbl 1143.30019
Bolotnikov, Vladimir
8
2008
On a general moment problem on the half axis. Zbl 0873.44004
Bolotnikov, Vladimir
8
1997
Description of solutions of the degenerate moment problem on the axis and semi-axis. Zbl 0689.30028
Bolotnikov, V. A.
8
1988
Polynomial interpolation over quaternions. Zbl 1335.30015
Bolotnikov, Vladimir
7
2015
A constrained Nevanlinna-Pick interpolation problem for matrix-valued functions. Zbl 1196.47013
Ball, Joseph A.; Bolotnikov, Vladimir; Horst, Sanne Ter
7
2010
On a bitangential interpolation problem for contractive-valued functions on the unit ball. Zbl 1037.47011
Ball, Joseph A.; Bolotnikov, Vladimir
7
2002
One two-sided residue interpolation for matrix-valued \(H_ 2\)-functions with symmetries. Zbl 0876.47013
Alpay, D.; Bolotnikov, V.; Loubaton, Ph.
7
1996
On the tangential interpolation problem for \(H_ 2\) functions. Zbl 0808.47012
Alpay, Daniel; Bolotnikov, Vladimir; Peretz, Yossi
7
1995
A multi-point degenerate interpolation problem for generalized Schur functions. Zbl 1204.30024
Bolotnikov, Vladimir
6
2010
Carathéodory-Julia type theorems for operator valued Schur functions. Zbl 1178.30042
Bolotnikov, Vladimir; Kheifets, Alexander
6
2008
Boundary Nevanlinna–Pick interpolation problems for generalized Schur functions. Zbl 1119.47018
Bolotnikov, Vladimir; Kheifets, Alexander
6
2006
On the Carathéodory-Fejér interpolation problem for generalized Schur functions. Zbl 1059.41001
Bolotnikov, Vladimir
6
2004
Finite dimensional backward shift invariant subspaces of Arveson spaces. Zbl 1019.46023
Bolotnikov, V.; Rodman, L.
6
2002
On the Nevanlinna-Pick interpolation problem for generalized Stieltjes functions. Zbl 0910.47010
Alpay, D.; Bolotnikov, V.; Dijksma, A.
6
1998
On some operator colligations and associated reproducing kernel Pontryagin spaces. Zbl 0923.47007
Alpay, D.; Bolotnikov, V.; Duksma, A.; de Snoo, H.
6
1996
The two-sided Nevanlinna-Pick problem in the Stieltjes class. Zbl 0796.47006
Bolotnikov, Vladimir
6
1993
Interpolation problems for certain classes of slice hyperholomorphic functions. Zbl 1353.30049
Alpay, Daniel; Bolotnikov, Vladimir; Colombo, Fabrizio; Sabadini, Irene
5
2016
Canonical transfer-function realization for Schur multipliers on the Drury-Arveson space and models for commuting row contractions. Zbl 1276.47008
Bolotnikov, Vladimir; Ball, Joseph A.
5
2012
Canonical transfer-function realization for Schur-Agler-class functions of the polydisk. Zbl 1273.47030
Ball, Joseph A.; Bolotnikov, Vladimir
5
2012
The Nevanlinna-Pick problem on the closed unit disk: minimal norm rational solutions of low degree. Zbl 1262.30022
Bolotnikov, Vladimir; Cameron, Stephen P.
5
2012
Interpolation in de Branges-Rovnyak spaces. Zbl 1223.30009
Ball, Joseph A.; Bolotnikov, Vladimir; ter Horst, Sanne
5
2011
Nevanlinna-Pick interpolation for Schur-Agler class functions on domains with matrix polynomial defining function in \(\mathbb C^n\). Zbl 1099.47011
Ball, Joseph A.; Bolotnikov, Vladimir
5
2005
A bitangential interpolation problem on the closed unit ball for multipliers of the Arveson space. Zbl 1038.47009
Ball, Joseph A.; Bolotnikov, Vladimir
5
2003
A tangential interpolation problem on the distinguished boundary of the polydisk for the Schur–Agler class. Zbl 1015.47004
Ball, Joseph A.; Bolotnikov, Vladimir
5
2002
Hilbert spaces contractively included in the Hardy space of the bidisk. Zbl 0976.46012
Alpay, D.; Bolotnikov, V.; Dijksma, A.; Sadosky, C.
5
2001
On tangential \(H_ 2\) interpolation with second order norm constraints. Zbl 0873.30019
Alpay, D.; Bolotnikov, V.; Loubaton, Ph.
5
1996
Classes of pairs of meromorphic matrix valued functions generated by nonnegative kernels and associated Nevanlinna-Pick problems. Zbl 0844.30026
Alpay, D.; Bolotnikov, V.
5
1995
Two-sided Nevanlinna-Pick interpolation for a class of matrix-valued functions. Zbl 0807.47010
Alpay, D.; Bolotnikov, V.
5
1993
De Branges-Rovnyak spaces: basics and theory. Zbl 1347.46018
Ball, Joseph A.; Bolotnikov, Vladimir
4
2015
Abstract interpolation in vector-valued de Branges-Rovnyak spaces. Zbl 1230.47032
Ball, Joseph A.; Bolotnikov, Vladimir; ter Horst, Sanne
4
2011
Boundary rigidity for some classes of meromorphic functions. Zbl 1177.30044
Bolotnikov, Vladimir
4
2009
On negative inertia of Pick matrices associated with generalized Schur functions. Zbl 1107.30027
Bolotnikov, Vladimir; Kheifets, Alexander
4
2006
Krein-Langer factorizations via pole triples. Zbl 1055.47015
Bolotnikov, Vladimir; Rodman, Leiba
4
2003
Brune sections in nonstationary system theory. Zbl 0952.93018
Alpay, Daniel; Bolotnikov, Vladimir; Dewilde, Patrick; Dijksma, Aad
4
2000
Tangential interpolation with symmetries and two-point interpolation problem for matrix-valued \(H_2\)-functions. Zbl 0918.47016
Alpay, D.; Bolotnikov, V.; Rodman, L.
4
1998
Zeros, factorizations and least common multiples of quaternion polynomials. Zbl 1383.16027
Bolotnikov, Vladimir
3
2017
Contractive multipliers from Hardy space to weighted Hardy space. Zbl 1364.30040
Ball, Joseph A.; Bolotnikov, Vladimir
3
2017
On the Sylvester equation over quaternions. Zbl 1361.15013
Bolotnikov, Vladimir
3
2016
On the expansive property of inner functions in weighted Hardy spaces. Zbl 1394.47019
Ball, Joseph A.; Bolotnikov, Vladimir
3
2016
Nevanlinna-Pick meromorphic interpolation: The degenerate case and minimal norm solutions. Zbl 1168.30019
Bolotnikov, Vladimir
3
2009
On boundary angular derivatives of an analytic self-map of the unit disk. Zbl 1178.30041
Bolotnikov, Vladimir
3
2009
Jet functions having indefinite Carathéodory-Pick matrices. Zbl 1064.30036
Bolotnikov, Vladimir; Kheifets, Alexander; Rodman, Leiba
3
2004
Nevanlinna-Pick interpolation: Pick matrices have bounded number of negative eigenvalues. Zbl 1056.30036
Bolotnikov, V.; Kheifets, A.; Rodman, L.
3
2004
Functions with Pick matrices having bounded number of negative eigenvalues. Zbl 1039.15014
Bolotnikov, V.; Kheifets, A.; Rodman, L.
3
2003
Some extensions of Loewner’s theory of monotone operator functions. Zbl 1075.47008
Alpay, D.; Bolotnikov, V.; Dijksma, A.; Rovnyak, J.
3
2002
Shells of matrices in indefinite inner product spaces. Zbl 1003.15026
Bolotnikov, Vladimir; Li, Chi-Kwong; Meade, Patrick R.; Mehl, Christian; Rodman, Leiba
3
2002
On a new positive extension problem for block Toeplitz matrices. Zbl 0886.15030
Alpay, Daniel; Bolotnikov, Vladimir; Loubaton, Philippe
3
1998
On interpolation for Hardy functions in a certain class of domains under moment type constraints. Zbl 0896.30027
Alpay, D.; Bolotnikov, V.; Loubaton, Ph.
3
1997
An interpolation problem with symmetry and related questions. Zbl 0840.47008
Alpay, D.; Bolotnikov, V.; Loubaton, Ph.
3
1996
On a class of functions analytic in a half disk and an associated interpolation problem. Zbl 0796.30033
Alpay, Daniel; Bolotnikov, Vladimir
3
1994
Several inequalities for the Schwarzian derivative of a bounded analytic function. Zbl 1418.30016
Bolotnikov, Vladimir
2
2019
Confluent Vandermonde matrices, divided differences, and Lagrange-Hermite interpolation over quaternions. Zbl 1386.15058
Bolotnikov, Vladimir
2
2017
Canonical transfer-function realization for Schur-Agler-class functions on domains with matrix polynomial defining function in \(\mathbb C^n\). Zbl 1252.47007
Ball, Joseph A.; Bolotnikov, Vladimir
2
2012
On an interpolation problem for generalized Schur functions. Zbl 1198.30035
Bolotnikov, Vladimir
2
2010
On a boundary analogue of the Carathéodory–Schur interpolation problem. Zbl 1151.47022
Bolotnikov, Vladimir
2
2008
Operator-valued jet functions with positive Carathéodory–Pick operators. Zbl 1082.47010
Bolotnikov, Vladimir; Kheifets, Alexander; Rodman, Leiba
2
2004
Remarks on interpolation in reproducing kernel Hilbert spaces. Zbl 1067.46035
Bolotnikov, Vladimir; Rodman, Leiba
2
2004
On the tangential interpolation problem for contractive valued functions in the polydisk. Zbl 0998.47008
Aplay, D.; Ball, J. A.; Bolotnikov, V.
2
2000
Normal forms and joint numerical ranges of doubly commuting matrices. Zbl 0948.15011
Bolotnikov, V.; Rodman, L.
2
1999
Dissipative periodic systems and symmetric interpolation in Schur classes. Zbl 0891.30021
Alpay, D.; Bolotnikov, V.; Loubaton, P.
2
1997
The Carathéodory-Féjer interpolation problem in Hardy classes. Zbl 0816.47012
Alpay, D.; Bolotnikov, V.
2
1994
Tangential Carathéodory-Fejér interpolation for Stieltjes functions at real points. Zbl 0815.47011
Bolotnikov, V.
2
1994
Pseudo-contractions, rigidity, fixed points and related questions. Zbl 1434.30006
Alpay, Daniel; Bolotnikov, Vladimir; Shoikhet, David
1
2020
Boundary asymptotic expansions of analytic self-mappings of the unit disk. Zbl 1345.30038
Bolotnikov, Vladimir; Elin, Mark; Shoikhet, David
1
2016
De Branges-Rovnyak spaces and norm-constrained interpolation. Zbl 1342.47022
Ball, Joseph A.; Bolotnikov, Vladimir
1
2015
Confluent Vandermonde matrices and divided differences over quaternions. Zbl 1316.15036
Bolotnikov, Vladimir
1
2015
Pick matricies and quaternionic power series. Zbl 1304.30066
Bolotnikov, Vladimir
1
2014
Interpolation in sub-Bergman spaces. Zbl 1300.47021
Ball, Joseph A.; Bolotnikov, Vladimir
1
2013
Multi-point degenerate interpolation problem for generalized Schur functions: description of all solutions. Zbl 1246.30068
Bolotnikov, Vladimir
1
2011
On a certain generalization of the Carathéodory-Julia-Wolff theorem. Zbl 1230.30041
Bolotnikov, Vladimir
1
2011
On zeros of certain analytic functions. Zbl 1211.30006
Bolotnikov, Vladimir
1
2011
An algorithm for finding low degree rational solutions to the Schur coefficient problem. Zbl 1195.41002
Bolotnikov, Vladimir
1
2010
Boundary interpolation for contractive-valued functions on circular domains in \(\mathbb{C}^n\). Zbl 1090.47008
Ball, Joseph A.; Bolotnikov, Vladimir
1
2004
Pseudo-contractions, rigidity, fixed points and related questions. Zbl 1434.30006
Alpay, Daniel; Bolotnikov, Vladimir; Shoikhet, David
1
2020
Several inequalities for the Schwarzian derivative of a bounded analytic function. Zbl 1418.30016
Bolotnikov, Vladimir
2
2019
Zeros, factorizations and least common multiples of quaternion polynomials. Zbl 1383.16027
Bolotnikov, Vladimir
3
2017
Contractive multipliers from Hardy space to weighted Hardy space. Zbl 1364.30040
Ball, Joseph A.; Bolotnikov, Vladimir
3
2017
Confluent Vandermonde matrices, divided differences, and Lagrange-Hermite interpolation over quaternions. Zbl 1386.15058
Bolotnikov, Vladimir
2
2017
Interpolation problems for certain classes of slice hyperholomorphic functions. Zbl 1353.30049
Alpay, Daniel; Bolotnikov, Vladimir; Colombo, Fabrizio; Sabadini, Irene
5
2016
On the Sylvester equation over quaternions. Zbl 1361.15013
Bolotnikov, Vladimir
3
2016
On the expansive property of inner functions in weighted Hardy spaces. Zbl 1394.47019
Ball, Joseph A.; Bolotnikov, Vladimir
3
2016
Boundary asymptotic expansions of analytic self-mappings of the unit disk. Zbl 1345.30038
Bolotnikov, Vladimir; Elin, Mark; Shoikhet, David
1
2016
Self-mappings of the quaternionic unit ball: multiplier properties, the Schwarz-Pick inequality, and the Nevanlinna-Pick interpolation problem. Zbl 1318.30075
Alpay, Daniel; Bolotnikov, Vladimir; Colombo, Fabrizio; Sabadini, Irene
20
2015
Polynomial interpolation over quaternions. Zbl 1335.30015
Bolotnikov, Vladimir
7
2015
De Branges-Rovnyak spaces: basics and theory. Zbl 1347.46018
Ball, Joseph A.; Bolotnikov, Vladimir
4
2015
De Branges-Rovnyak spaces and norm-constrained interpolation. Zbl 1342.47022
Ball, Joseph A.; Bolotnikov, Vladimir
1
2015
Confluent Vandermonde matrices and divided differences over quaternions. Zbl 1316.15036
Bolotnikov, Vladimir
1
2015
Pick matricies and quaternionic power series. Zbl 1304.30066
Bolotnikov, Vladimir
1
2014
Weighted Bergman spaces: shift-invariant subspaces and input/state/output linear systems. Zbl 1290.47014
Ball, Joseph A.; Bolotnikov, Vladimir
12
2013
Inequalities for angular derivatives and boundary interpolation. Zbl 1293.30094
Bolotnikov, Vladimir; Elin, Mark; Shoikhet, David
12
2013
Weighted Hardy spaces: shift invariant and coinvariant subspaces, linear systems and operator model theory. Zbl 1324.47022
Ball, Joseph A.; Bolotnikov, Vladimir
11
2013
A Beurling type theorem in weighted Bergman spaces. Zbl 1277.47012
Ball, Joseph A.; Bolotnikov, Vladimir
9
2013
Interpolation in sub-Bergman spaces. Zbl 1300.47021
Ball, Joseph A.; Bolotnikov, Vladimir
1
2013
Canonical transfer-function realization for Schur multipliers on the Drury-Arveson space and models for commuting row contractions. Zbl 1276.47008
Bolotnikov, Vladimir; Ball, Joseph A.
5
2012
Canonical transfer-function realization for Schur-Agler-class functions of the polydisk. Zbl 1273.47030
Ball, Joseph A.; Bolotnikov, Vladimir
5
2012
The Nevanlinna-Pick problem on the closed unit disk: minimal norm rational solutions of low degree. Zbl 1262.30022
Bolotnikov, Vladimir; Cameron, Stephen P.
5
2012
Canonical transfer-function realization for Schur-Agler-class functions on domains with matrix polynomial defining function in \(\mathbb C^n\). Zbl 1252.47007
Ball, Joseph A.; Bolotnikov, Vladimir
2
2012
On higher order boundary derivatives of an analytic self-map of the unit disk. Zbl 1256.30019
Bolotnikov, Vladimir
9
2011
Interpolation in de Branges-Rovnyak spaces. Zbl 1223.30009
Ball, Joseph A.; Bolotnikov, Vladimir; ter Horst, Sanne
5
2011
Abstract interpolation in vector-valued de Branges-Rovnyak spaces. Zbl 1230.47032
Ball, Joseph A.; Bolotnikov, Vladimir; ter Horst, Sanne
4
2011
Multi-point degenerate interpolation problem for generalized Schur functions: description of all solutions. Zbl 1246.30068
Bolotnikov, Vladimir
1
2011
On a certain generalization of the Carathéodory-Julia-Wolff theorem. Zbl 1230.30041
Bolotnikov, Vladimir
1
2011
On zeros of certain analytic functions. Zbl 1211.30006
Bolotnikov, Vladimir
1
2011
Canonical de Branges-Rovnyak model transfer-function realization for multivariable Schur-class functions. Zbl 1210.47041
Ball, Joseph A.; Bolotnikov, Vladimir
13
2010
A constrained Nevanlinna-Pick interpolation problem for matrix-valued functions. Zbl 1196.47013
Ball, Joseph A.; Bolotnikov, Vladimir; Horst, Sanne Ter
7
2010
A multi-point degenerate interpolation problem for generalized Schur functions. Zbl 1204.30024
Bolotnikov, Vladimir
6
2010
On an interpolation problem for generalized Schur functions. Zbl 1198.30035
Bolotnikov, Vladimir
2
2010
An algorithm for finding low degree rational solutions to the Schur coefficient problem. Zbl 1195.41002
Bolotnikov, Vladimir
1
2010
Carathéodory-Julia type conditions and symmetries of boundary asymptotics for analytic functions on the unit disk. Zbl 1179.41001
Bolotnikov, Vladimir; Kheifets, Alexander
9
2009
Boundary rigidity for some classes of meromorphic functions. Zbl 1177.30044
Bolotnikov, Vladimir
4
2009
Nevanlinna-Pick meromorphic interpolation: The degenerate case and minimal norm solutions. Zbl 1168.30019
Bolotnikov, Vladimir
3
2009
On boundary angular derivatives of an analytic self-map of the unit disk. Zbl 1178.30041
Bolotnikov, Vladimir
3
2009
The higher order Carathéodory-Julia theorem and related boundary interpolation problems. Zbl 1146.30018
Bolotnikov, Vladimir; Kheifets, Alexander
17
2008
Interpolation problems for Schur multipliers on the Drury–Arveson space: from Nevanlinna–Pick to abstract interpolation problem. Zbl 1170.47006
Ball, Joseph A.; Bolotnikov, Vladimir
11
2008
Schur-class multipliers on the Arveson space: de Branges-Rovnyak reproducing kernel spaces and commutative transfer-function realizations. Zbl 1223.47012
Ball, Joseph A.; Bolotnikov, Vladimir; Fang, Quanlei
10
2008
A uniqueness result on boundary interpolation. Zbl 1143.30019
Bolotnikov, Vladimir
8
2008
Carathéodory-Julia type theorems for operator valued Schur functions. Zbl 1178.30042
Bolotnikov, Vladimir; Kheifets, Alexander
6
2008
On a boundary analogue of the Carathéodory–Schur interpolation problem. Zbl 1151.47022
Bolotnikov, Vladimir
2
2008
Schur-class multipliers on the Fock space: de Branges-Rovnyak reproducing kernel spaces and transfer-function realizations. Zbl 1199.47061
Ball, Joseph A.; Bolotnikov, Vladimir; Fang, Quanlei
11
2007
Interpolation in the noncommutative Schur–Agler class. Zbl 1164.47023
Ball, Joseph A.; Bolotnikov, Vladimir
11
2007
Multivariable backward-shift-invariant subspaces and observability operators. Zbl 1156.47012
Ball, Joseph A.; Bolotnikov, Vladimir; Fang, Quanlei
9
2007
Transfer-function realization for multipliers of the Arveson space. Zbl 1126.47011
Ball, Joseph A.; Bolotnikov, Vladimir; Fang, Quanlei
9
2007
On boundary interpolation for matrix valued Schur functions. Zbl 1182.47017
Bolotnikov, Vladimir; Dym, Harry
27
2006
A higher order analogue of the Carathéodory–Julia theorem. Zbl 1102.30028
Bolotnikov, Vladimir; Kheifets, Alexander
13
2006
Boundary Nevanlinna–Pick interpolation problems for generalized Schur functions. Zbl 1119.47018
Bolotnikov, Vladimir; Kheifets, Alexander
6
2006
On negative inertia of Pick matrices associated with generalized Schur functions. Zbl 1107.30027
Bolotnikov, Vladimir; Kheifets, Alexander
4
2006
Nevanlinna-Pick interpolation for Schur-Agler class functions on domains with matrix polynomial defining function in \(\mathbb C^n\). Zbl 1099.47011
Ball, Joseph A.; Bolotnikov, Vladimir
5
2005
Realization and interpolation for Schur–Agler-class functions on domains with matrix polynomial defining function in \(\mathbb C^{n}\). Zbl 1061.47014
Ball, Joseph A.; Bolotnikov, Vladimir
22
2004
On the Carathéodory-Fejér interpolation problem for generalized Schur functions. Zbl 1059.41001
Bolotnikov, Vladimir
6
2004
Jet functions having indefinite Carathéodory-Pick matrices. Zbl 1064.30036
Bolotnikov, Vladimir; Kheifets, Alexander; Rodman, Leiba
3
2004
Nevanlinna-Pick interpolation: Pick matrices have bounded number of negative eigenvalues. Zbl 1056.30036
Bolotnikov, V.; Kheifets, A.; Rodman, L.
3
2004
Operator-valued jet functions with positive Carathéodory–Pick operators. Zbl 1082.47010
Bolotnikov, Vladimir; Kheifets, Alexander; Rodman, Leiba
2
2004
Remarks on interpolation in reproducing kernel Hilbert spaces. Zbl 1067.46035
Bolotnikov, Vladimir; Rodman, Leiba
2
2004
Boundary interpolation for contractive-valued functions on circular domains in \(\mathbb{C}^n\). Zbl 1090.47008
Ball, Joseph A.; Bolotnikov, Vladimir
1
2004
Finite dimensional backward shift invariant subspaces of a class of reproducing kernel Hilbert spaces. Zbl 1065.46022
Bolotnikov, V.; Rodman, L.
1
2004
Interpolation for multipliers on reproducing kernel Hilbert spaces. Zbl 1010.41002
Bolotnikov, Vladimir
11
2003
A bitangential interpolation problem on the closed unit ball for multipliers of the Arveson space. Zbl 1038.47009
Ball, Joseph A.; Bolotnikov, Vladimir
5
2003
Krein-Langer factorizations via pole triples. Zbl 1055.47015
Bolotnikov, Vladimir; Rodman, Leiba
4
2003
Functions with Pick matrices having bounded number of negative eigenvalues. Zbl 1039.15014
Bolotnikov, V.; Kheifets, A.; Rodman, L.
3
2003
Pairs of functions with indefinite Pick matrices. Zbl 1021.47002
Bolotnikov, V.; Kheifets, A.; Rodman, L.
1
2003
The Schur algorithm and reproducing kernel Hilbert spaces in the ball. Zbl 1015.47008
Alpay, Daniel; Bolotnikov, Vladimir; Kaptanoğlu, H. Turgay
11
2002
On a bitangential interpolation problem for contractive-valued functions on the unit ball. Zbl 1037.47011
Ball, Joseph A.; Bolotnikov, Vladimir
7
2002
Finite dimensional backward shift invariant subspaces of Arveson spaces. Zbl 1019.46023
Bolotnikov, V.; Rodman, L.
6
2002
A tangential interpolation problem on the distinguished boundary of the polydisk for the Schur–Agler class. Zbl 1015.47004
Ball, Joseph A.; Bolotnikov, Vladimir
5
2002
Some extensions of Loewner’s theory of monotone operator functions. Zbl 1075.47008
Alpay, D.; Bolotnikov, V.; Dijksma, A.; Rovnyak, J.
3
2002
Shells of matrices in indefinite inner product spaces. Zbl 1003.15026
Bolotnikov, Vladimir; Li, Chi-Kwong; Meade, Patrick R.; Mehl, Christian; Rodman, Leiba
3
2002
Nonstationary analogues of the Herglotz representation theorem for unbounded operators. Zbl 1011.93023
Alpay, D.; Bolotnikov, V.; Dijksma, A.; Freydin, B.
1
2002
Two-sided residue interpolation in matrix H\(_{2}\) spaces with symmetries: conformal conjugate involutions. Zbl 0997.41002
Alpay, D.; Bolotnikov, V.; Rodman, L.
1
2002
Hilbert spaces contractively included in the Hardy space of the bidisk. Zbl 0976.46012
Alpay, D.; Bolotnikov, V.; Dijksma, A.; Sadosky, C.
5
2001
Brune sections in nonstationary system theory. Zbl 0952.93018
Alpay, Daniel; Bolotnikov, Vladimir; Dewilde, Patrick; Dijksma, Aad
4
2000
On the tangential interpolation problem for contractive valued functions in the polydisk. Zbl 0998.47008
Aplay, D.; Ball, J. A.; Bolotnikov, V.
2
2000
On an operator approach to interpolation problems for Stieltjes functions. Zbl 0952.47016
Bolotnikov, V.; Sakhnovich, L.
12
1999
Normal forms and joint numerical ranges of doubly commuting matrices. Zbl 0948.15011
Bolotnikov, V.; Rodman, L.
2
1999
One-sided tangential interpolation for operator-valued Hardy functions on polydisks. Zbl 0946.47009
Alpay, D.; Bolotnikov, V.; Rodman, L.
1
1999
On degenerate interpolation, entropy and extremal problems for matrix Schur functions. Zbl 0922.47009
Bolotnikov, Vladimir; Dym, Harry
17
1998
On the Nevanlinna-Pick interpolation problem for generalized Stieltjes functions. Zbl 0910.47010
Alpay, D.; Bolotnikov, V.; Dijksma, A.
6
1998
Tangential interpolation with symmetries and two-point interpolation problem for matrix-valued \(H_2\)-functions. Zbl 0918.47016
Alpay, D.; Bolotnikov, V.; Rodman, L.
4
1998
On a new positive extension problem for block Toeplitz matrices. Zbl 0886.15030
Alpay, Daniel; Bolotnikov, Vladimir; Loubaton, Philippe
3
1998
On bitangential interpolation in the time-varying setting for Hilbert-Schmidt operators: The continuous time case. Zbl 0920.47014
Alpay, D.; Bolotnikov, V.; Freydin, B.; Peretz, Y.
1
1998
Hilbert spaces contractively included in the Hardy space of the bidisk. Zbl 0922.46021
Alpay, Daniel; Bolotnikov, Vladimir; Dijksma, Aad; Rovnyak, James; Sadosky, Cora
1
1998
On two-sided interpolation for upper triangular Hilbert-Schmidt operators. Zbl 0917.47016
Alpay, D.; Bolotnikov, V.
1
1998
On tangential interpolation in reproducing kernel Hilbert modules and applications. Zbl 0931.46024
Alpay, D.; Bolotnikov, V.
10
1997
On a general moment problem on the half axis. Zbl 0873.44004
Bolotnikov, Vladimir
8
1997
On interpolation for Hardy functions in a certain class of domains under moment type constraints. Zbl 0896.30027
Alpay, D.; Bolotnikov, V.; Loubaton, Ph.
3
1997
Dissipative periodic systems and symmetric interpolation in Schur classes. Zbl 0891.30021
Alpay, D.; Bolotnikov, V.; Loubaton, P.
2
1997
On degenerate Hamburger moment problem and extensions of nonnegative Hankel block matrices. Zbl 0856.47014
Bolotnikov, Vladimir
16
1996
One two-sided residue interpolation for matrix-valued \(H_ 2\)-functions with symmetries. Zbl 0876.47013
Alpay, D.; Bolotnikov, V.; Loubaton, Ph.
7
1996
On some operator colligations and associated reproducing kernel Pontryagin spaces. Zbl 0923.47007
Alpay, D.; Bolotnikov, V.; Duksma, A.; de Snoo, H.
6
1996
On tangential \(H_ 2\) interpolation with second order norm constraints. Zbl 0873.30019
Alpay, D.; Bolotnikov, V.; Loubaton, Ph.
5
1996
An interpolation problem with symmetry and related questions. Zbl 0840.47008
Alpay, D.; Bolotnikov, V.; Loubaton, Ph.
3
1996
Two-sided interpolation for matrix functions with entries in the Hardy space. Zbl 0828.15025
Alpay, Daniel; Bolotnikov, Vladimir
10
1995
Degenerate Stieltjes moment problem and associated \(J\)-inner polynomials. Zbl 0828.47012
Bolotnikov, V.
9
1995
On the tangential interpolation problem for \(H_ 2\) functions. Zbl 0808.47012
Alpay, Daniel; Bolotnikov, Vladimir; Peretz, Yossi
7
1995
...and 10 more Documents
all top 5

Cited by 269 Authors

68 Bolotnikov, Vladimir
59 Alpay, Daniel Aron
22 Ball, Joseph Anthony
15 Sabadini, Irene
12 Chen, Gongning
11 Agler, Jim
11 Colombo, Fabrizio
11 Hu, Yongjian
10 Fritzsche, Bernd
10 Kirstein, Bernd
10 Rodman, Leiba X.
10 Young, Nicholas John
9 Dijksma, Aad
9 Jørgensen, Palle E. T.
9 Shoikhet, David
8 Lewkowicz, Izchak
8 Mädler, Conrad
7 Dym, Harry
7 Jury, Michael T.
7 Kheifets, Alexander
7 McCullough, Scott A.
7 Tian, Feng
6 Fang, Quanlei
6 Helton, John William
6 McCarthy, John Edward
6 Sarkar, Jaydeb
5 Kaliuzhnyi-Verbovetskyi, Dmitry S.
5 Klep, Igor
5 Lykova, Zinaida A.
5 Martin, Robert T. W.
5 Rovnyak, James
5 Volok, Dan
4 Derkach, Vladimir Alexandrovich
4 Dritschel, Michael A.
4 Dubi, Chen
4 Dyukarev, Yury M.
4 Knese, Greg
4 Loubaton, Philippe
4 Peretz, Yossi
4 Popescu, Gelu
4 Stefanovski, Jovan D.
4 ter Horst, Sanne
4 Vinnikov, Victor
4 Woerdeman, Hugo Jan
3 Dubinin, Vladimir N.
3 Gal, Sorin Gheorghe
3 Georgijević, Dušan R.
3 Gumenyuk, Pavel
3 Kaptanoglu, H. Turgay
3 Kimsey, David Patrick
3 Langer, Heinz
3 Mashreghi, Javad
3 Qian, Tao
3 Timotin, Dan
3 Xia, Jingbo
2 Abu-Ghanem, Khaled
2 Aleman, Alexandru
2 Bebiano, Natália Isabel Quadros
2 Bhattacharjee, Monojit
2 Bickel, Kelly
2 da Providência Santarém e Costa, João
2 Elin, Mark
2 Eschmeier, Jorg
2 Fricain, Emmanuel
2 González-Cervantes, José Óscar
2 Grinshpan, Anatolii
2 Hartz, Michael
2 Levenshtein, Marina
2 Nelson, Christopher S.
2 Pascoe, James Eldred
2 Reich, Simeon
2 Ren, Guangbin
2 Sakhnovych, Lev Aronovych
2 Shapiro, Michael V.
2 Tully-Doyle, Ryan
2 Wang, Xieping
2 Xu, Zhenghua
2 Yakubovich, Dmitry V.
2 Yang, Rongwei
2 Zhan, Xuzhou
1 Abadias, Luciano
1 Ahmad, Muhammad Zaini
1 Ahmed, Ahmed El-Sayed
1 Albzeirat, Asia Khalaf
1 Alger, Jim
1 Alshammari, Hadi O.
1 Altavilla, Ademeo
1 Altavilla, Amedeo
1 Ambrozie, Călin-Grigore
1 Anderson, James Milne
1 Antoulas, Athanasios C.
1 Arlins’kyĭ, Yuriĭ Moĭseĭovych
1 Arov, Damir Zyamovich
1 Baratchart, Laurent
1 Becker, Jochen
1 Bekker, Miron B.
1 Bello-Burguet, Glenier
1 Bello, Glenier
1 Benhida, Chafiq
1 Bhattacharyya, Tanaya
...and 169 more Authors
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Cited in 77 Serials

52 Linear Algebra and its Applications
34 Integral Equations and Operator Theory
26 Journal of Functional Analysis
25 Journal of Mathematical Analysis and Applications
19 Complex Analysis and Operator Theory
14 Proceedings of the American Mathematical Society
10 Mathematische Nachrichten
7 Transactions of the American Mathematical Society
6 Analysis and Mathematical Physics
5 Multidimensional Systems and Signal Processing
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Computational Methods and Function Theory
5 Complex Variables and Elliptic Equations
4 Journal d’Analyse Mathématique
4 Journal of Computational and Applied Mathematics
3 MCSS. Mathematics of Control, Signals, and Systems
3 The Journal of Geometric Analysis
3 Russian Mathematics
3 Concrete Operators
2 Linear and Multilinear Algebra
2 Mathematical Notes
2 Advances in Mathematics
2 Mathematische Annalen
2 Mathematische Zeitschrift
2 SIAM Journal on Control and Optimization
2 Indagationes Mathematicae. New Series
2 Journal of Mathematical Sciences (New York)
2 Advances in Applied Clifford Algebras
2 Milan Journal of Mathematics
1 Communications in Algebra
1 Communications in Mathematical Physics
1 Israel Journal of Mathematics
1 Journal of Mathematical Physics
1 Studia Mathematica
1 Annales de l’Institut Fourier
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Archiv der Mathematik
1 Canadian Journal of Mathematics
1 Journal of Approximation Theory
1 Journal für die Reine und Angewandte Mathematik
1 Memoirs of the American Mathematical Society
1 Michigan Mathematical Journal
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Systems & Control Letters
1 Zeitschrift für Analysis und ihre Anwendungen
1 Applied Mathematics and Mechanics. (English Edition)
1 Revista Matemática Iberoamericana
1 Journal of Theoretical Probability
1 Publicacions Matemàtiques
1 International Journal of Mathematics
1 The Annals of Applied Probability
1 International Journal of Algebra and Computation
1 International Journal of Computer Mathematics
1 SIAM Journal on Mathematical Analysis
1 International Journal of Robust and Nonlinear Control
1 Potential Analysis
1 Applied and Computational Harmonic Analysis
1 Opuscula Mathematica
1 The Journal of Fourier Analysis and Applications
1 Journal of Mathematical Chemistry
1 Annales Academiae Scientiarum Fennicae. Mathematica
1 Annals of Mathematics. Second Series
1 Analysis (München)
1 Journal of the European Mathematical Society (JEMS)
1 Journal of the Australian Mathematical Society
1 Journal of Applied Mathematics and Computing
1 Multiscale Modeling & Simulation
1 Sampling Theory in Signal and Image Processing
1 Journal of Algebra and its Applications
1 Analysis and Applications (Singapore)
1 Fixed Point Theory and Applications
1 Journal of Nonlinear Science and Applications
1 Science China. Mathematics
1 Dal’nevostochnyĭ Matematicheskiĭ Zhurnal
1 Arabian Journal of Mathematics
1 Journal of Function Spaces
1 International Journal of Applied and Computational Mathematics
all top 5

Cited in 41 Fields

198 Operator theory (47-XX)
146 Functions of a complex variable (30-XX)
89 Functional analysis (46-XX)
43 Several complex variables and analytic spaces (32-XX)
39 Linear and multilinear algebra; matrix theory (15-XX)
21 Systems theory; control (93-XX)
16 Integral transforms, operational calculus (44-XX)
15 Approximations and expansions (41-XX)
15 Harmonic analysis on Euclidean spaces (42-XX)
11 Numerical analysis (65-XX)
7 Dynamical systems and ergodic theory (37-XX)
7 Probability theory and stochastic processes (60-XX)
6 Commutative algebra (13-XX)
6 Algebraic geometry (14-XX)
6 Potential theory (31-XX)
6 Ordinary differential equations (34-XX)
6 Information and communication theory, circuits (94-XX)
5 Real functions (26-XX)
4 Difference and functional equations (39-XX)
3 Combinatorics (05-XX)
3 Field theory and polynomials (12-XX)
3 Associative rings and algebras (16-XX)
3 Partial differential equations (35-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Operations research, mathematical programming (90-XX)
2 Number theory (11-XX)
2 Topological groups, Lie groups (22-XX)
2 Measure and integration (28-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Statistics (62-XX)
2 Quantum theory (81-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Special functions (33-XX)
1 Sequences, series, summability (40-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral equations (45-XX)
1 General topology (54-XX)
1 Computer science (68-XX)
1 Mechanics of deformable solids (74-XX)
1 Biology and other natural sciences (92-XX)

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