Edit Profile (opens in new tab) Dijksma, Aad Co-Author Distance Author ID: dijksma.aad Published as: Dijksma, A.; Dijksma, Aad; Dijksma, Aalt; Dijsksma, Aad; Dikjsma, Aad; Disksma, Aad more...less Homepage: http://www.math.rug.nl/~dijksma/ External Links: MGP Documents Indexed: 136 Publications since 1969, including 2 Books 4 Contributions as Editor Co-Authors: 54 Co-Authors with 127 Joint Publications 1,230 Co-Co-Authors all top 5 Co-Authors 13 single-authored 46 Alpay, Daniel Aron 40 Langer, Heinz 36 de Snoo, Hendrik S. V. 23 Azizov, Tomas Ya. 14 Rovnyak, James 11 Shondin, Yuri 9 Bolotnikov, Vladimir 8 Ćurgus, Branko 6 Bruinsma, Piet 5 Luger, Annemarie 5 Wanjala, Gerald 4 Marcantognini, Stefania A. M. 3 Barsukov, Andrey I. 3 Coddington, Earl A. 3 Kaashoek, Marinus Adriaan 3 Peretz, Yossi 3 Volok, Dan 2 Arocena, Rodrigo 2 Binding, Paul Anthony 2 Constantinescu, Tiberiu 2 Dewilde, Patrick M. 2 Dritschel, Michael A. 2 Förster, Karl-Heinz 2 Gheondea, Aurelian 2 Gohberg, Israel 2 Gridneva, Irina V. 2 Jonas, Peter 2 Kuipers, Lauwerens 2 Meijer, Henk G. 2 Sadosky, Cora 1 Agranovich, Yuri Ya. 1 Barsukov, Andrei 1 Bátkai, András 1 Bodenstorfer, Bernhard 1 Böttcher, Albrecht 1 Buursema, R. W. 1 El Sabbagh, A. A. 1 Freydin, Boris 1 Glaskova, M. Yu. 1 Hryniv, Rostyslav O. 1 Khatskevich, Vladimir L’vovich 1 Koornwinder, Tom H. 1 Kurasov, Pavel B. 1 Mennicken, Reinhard 1 Ran, André C. M. 1 Read, Tom 1 Reich, Simeon 1 Shoikhet, David 1 Shtraus, Abram Vilgelmovich 1 Sukhochëva, L. I. 1 van der Ploeg, Jan 1 Veselić, Krešimir 1 Voigt, Jurgen 1 Zeinstra, Chris all top 5 Serials 13 Integral Equations and Operator Theory 9 Linear Algebra and its Applications 7 Journal of Functional Analysis 4 Journal of Differential Equations 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Mathematische Nachrichten 3 Nederlandse Akademie van Wetenschappen. Proceedings. Series A. Indagationes Mathematicae 3 Operator Theory: Advances and Applications 2 Journal of Mathematical Analysis and Applications 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Pacific Journal of Mathematics 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Journal of Operator Theory 2 Nieuw Archief voor Wiskunde. Derde Serie 2 Nieuw Archief voor Wiskunde. Vierde Serie 2 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Complex Analysis and Operator Theory 1 Annales Academiae Scientiarum Fennicae. Series A I. Mathematica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Archiv der Mathematik 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Indiana University Mathematics Journal 1 Manuscripta Mathematica 1 Monatshefte für Mathematik 1 Simon Stevin 1 Zeitschrift für Analysis und ihre Anwendungen 1 Elemente der Mathematik 1 SIAM Journal on Mathematical Analysis 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Indagationes Mathematicae. New Series 1 Methods of Functional Analysis and Topology 1 Positivity 1 Fields Institute Monographs 1 Operators and Matrices 1 Mathematica 1 Advances in Operator Theory all top 5 Fields 115 Operator theory (47-XX) 52 Functional analysis (46-XX) 26 Ordinary differential equations (34-XX) 23 Functions of a complex variable (30-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Systems theory; control (93-XX) 5 Number theory (11-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 General and overarching topics; collections (00-XX) 4 History and biography (01-XX) 3 Special functions (33-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Approximations and expansions (41-XX) 2 Integral transforms, operational calculus (44-XX) 2 Numerical analysis (65-XX) 2 Quantum theory (81-XX) 1 Combinatorics (05-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) 1 Integral equations (45-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 106 Publications have been cited 1,004 times in 561 Documents Cited by ▼ Year ▼ Schur functions, operator colligations, and reproducing kernel Pontryagin spaces. Zbl 0879.47006Alpay, Daniel; Dijksma, Aad; Rovnyak, James; de Snoo, Hendrik 122 1997 Self-adjoint extensions of symmetric subspaces. Zbl 0304.47006Dijksma, A.; de Snoo, H. S. V. 69 1974 Eigenvalues and pole functions of Hamiltonian systems with eigenvalue depending boundary conditions. Zbl 0795.34070Dijksma, Aad; Langer, Heinz; de Snoo, Henk 41 1993 Selfadjoint subspaces and eigenfunction expansions for ordinary differential subspaces. Zbl 0306.34023Coddington, Earl A.; Dijksma, Aalt 39 1976 Symmetric and selfadjoint relations in Krein spaces. I. Zbl 0625.47030Dijksma, A.; de Snoo, H. S. V. 35 1987 A factorization result for generalized Nevanlinna functions of the class \(N_k\). Zbl 0958.30023Dijksma, A.; Langer, H.; Luger, A.; Shondin, Yu. 33 2000 Adjoint subspaces in Banach spaces, with applications to ordinary differential subspaces. Zbl 0408.47035Coddington, Earl A.; Dijksma, Aalt 30 1978 Symmetric and selfadjoint relations in Krein spaces. II. Zbl 0593.47039Dijksma, A.; de Snoo, H. S. V. 23 1987 Operator theory and ordinary differential operators. Zbl 0883.47018Dijksma, Aad; Langer, Heinz 20 1996 Interpolation problems, extensions of symmetric operators and reproducing kernel spaces. II. Zbl 0787.47013Alpay, Daniel; Bruinsma, Piet; Dijksma, Aad; de Snoo, Henk 20 1991 Spectral problems for operator matrices. Zbl 1103.47001Bátkai, A.; Binding, P.; Dijksma, A.; Hryniv, R.; Langer, H. 20 2005 Eigenfunction expansions for a class of J-selfadjoint ordinary differential operators with boundary conditions containing the eigenvalue parameter. Zbl 0434.47037Dijksma, Aalt 19 1980 Eigenfunction expansions associated with pairs of ordinary differential expressions. Zbl 0551.47008Dijksma, Aalt; de Snoo, Hendrik S. V. 18 1985 Interpolation problems, extensions of symmetric operators and reproducing kernel spaces. I. Zbl 0737.47016Alpay, Daniel; Bruinsma, Piet; Dijksma, Aad; de Snoo, Henk 17 1991 Compressions of maximal dissipative and self-adjoint linear relations and of dilations. Zbl 1300.47009Azizov, T. Ya.; Dijksma, A.; Wanjala, G. 17 2013 Selfadjoint \(\Pi _{\kappa}\)-extensions of symmetric subspaces: An abstract approach to boundary problems with spectral parameter in the boundary conditions. Zbl 0552.47014Dijksma, A.; Langer, H.; De Snoo, H. S. V. 16 1984 High order singular rank one perturbations of a positive operator. Zbl 1104.47024Dijksma, A.; Kurasov, P.; Shondin, Yu. 16 2005 Singular point-like perturbations of the Bessel operator in a Pontryagin space. Zbl 0960.47021Dijksma, Aad; Shondin, Yuri 15 2000 Self-adjoint operators with inner singularities and Pontryagin spaces. Zbl 0965.47022Dijksma, Aad; Langer, Heinz; Shondin, Yuri; Zeinstra, Chris 15 2000 Unitary colligations in \(\pi _ k\)-spaces, characteristic functions and Shtraus extensions. Zbl 0573.47027Dijksma, A.; Langer, H.; de Snoo, H. S. V. 14 1986 A theorem of Beurling-Lax type for Hilbert spaces of functions analytic in the unit ball. Zbl 1046.46022Alpay, D.; Dijksma, A.; Rovnyak, J. 14 2003 On the boundedness of Hamiltonian operators. Zbl 1009.47022Azizov, Tomas Ya.; Dijksma, Aad; Gridneva, Irina V. 13 2003 The linearization of boundary eigenvalue problems and reproducing kernel Hilbert spaces. Zbl 0996.47025Ćurgus, Branko; Dijksma, Aad; Read, Tom 13 2001 Generalized coresolvents of standard isometric operators and generalized resolvents of standard symmetric relations in Krejn spaces. Zbl 0734.47018Dijksma, Aad; Langer, Heinz; de Snoo, Henk 12 1990 On some operator colligations and associated reproducing kernel Hilbert spaces. Zbl 0794.47006Alpay, Daniel; Bolotnikov, Vladimir; Dijksma, Aad; de Snoo, Henk 11 1993 The transformation of Issai Schur and related topics in an indefinite setting. Zbl 1128.47015Alpay, D.; Dijksma, A.; Langer, H. 11 2007 Closedness and adjoints of products of operators, and compressions. Zbl 1277.47002Azizov, T. Ya.; Dijksma, A. 11 2012 Spherical harmonics and the product of two Jacobi polynomials. Zbl 0209.09302Dijksma, A.; Koornwinder, T. H. 11 1971 Unitary colligations in Krein spaces and their role in the extension theory of isometries and symmetric linear relations in Hilbert spaces. Zbl 0628.47026Dijksma, Aad; Langer, Heinz; de Snoo, Henk 10 1987 Interpolation problems, extensions of symmetric operators and reproducing kernel spaces. II. Zbl 0780.47016Alpay, Daniel; Bruinsma, Piet; Dijksma, Aad; De Snoo, Henk 10 1992 Notes on a Nevanlinna-Pick interpolation problem for generalized Nevanlinna functions. Zbl 0933.47024Dijsksma, Aad; Langer, Heinz 10 1997 Hamiltonian systems with eigenvalue depending boundary conditions. Zbl 0686.58019Dijksma, Aad; Langer, Heinz; de Snoo, Henk 9 1988 Holomorphic operators between Krein spaces and the number of squares of associated kernels. Zbl 0790.47028Alpay, D.; Dijksma, A.; van der Ploeg, J.; de Snoo, H. S. V. 8 1992 Selfadjoint extensions of regular canonical systems with Stieltjes boundary conditions. Zbl 0714.34032Dijksma, A.; De Snoo, H. S. V.; El Sabbagh, A. A. 8 1990 Standard symmetric operators in Pontryagin spaces: A generalized von Neumann formula and minimality of boundary coefficients. Zbl 1028.47027Azizov, Tomas; Ćurgus, Branko; Dijksma, Aad 8 2003 Minimal realizations of scalar generalized Nevanlinna functions related to their basic factorization. Zbl 1084.47007Dijksma, Aad; Langer, Heinz; Luger, Annemarie; Shondin, Yuri 8 2004 Boundary interpolation and rigidity for generalized Nevanlinna functions. Zbl 1210.47040Alpay, Daniel; Dijksma, Aad; Langer, Heinz; Reich, Simeon; Shoikhet, David 8 2010 Compressions of self-adjoint extensions of a symmetric operator and M.G. Krein’s resolvent formula. Zbl 06946537Dijksma, Aad; Langer, Heinz 7 2018 Factorization of \(J\)-unitary matrix polynomials on the line and a Schur algorithm for generalized Nevanlinna functions. Zbl 1073.47507Alpay, D.; Dijksma, A.; Langer, H. 7 2004 Realization and factorization in reproducing kernel Pontryagin spaces. Zbl 1060.46507Alpay, D.; Dijksma, A.; Rovnyak, J.; de Snoo, H. S. V. 7 2001 On basis properties of selfadjoint operator functions. Zbl 0972.47009Azizov, T. Ya.; Dijksma, A.; Sukhocheva, L. I. 7 2000 Schur multipliers and de Branges-Rovnyak spaces: the multiscale case. Zbl 1174.47017Alpay, Daniel; Dijksma, Aad; Volok, Dan 6 2009 Basic boundary interpolation for generalized Schur functions and factorization of rational \(J\)-unitary matrix functions. Zbl 1124.47011Alpay, Daniel; Dijksma, Aad; Langer, Heinz; Wanjala, Gerald 6 2006 Notes on interpolation in the generalized Schur class. II. Nudel’man’s problem. Zbl 1060.47020Alpay, D.; Constantinescu, T.; Dijksma, A.; Rovnyak, J. 6 2003 Rank one perturbations at infinite coupling in Pontryagin spaces. Zbl 1068.47041Dijksma, Aad; Langer, Heinz; Shondin, Yuri 6 2004 On the Nevanlinna-Pick interpolation problem for generalized Stieltjes functions. Zbl 0910.47010Alpay, D.; Bolotnikov, V.; Dijksma, A. 6 1998 Hilbert spaces contractively included in the Hardy space of the bidisk. Zbl 0976.46012Alpay, D.; Bolotnikov, V.; Dijksma, A.; Sadosky, C. 6 2001 The Schur algorithm for generalized Schur functions. III: \(J\)-unitary matrix polynomials on the circle. Zbl 1068.47020Alpay, Daniel; Azizov, Tomas; Dijksma, Aad; Langer, Heinz 6 2003 A basic interpolation problem for generalized Schur functions and coisometric realizations. Zbl 1056.47010Alpay, D.; Azizov, T. Ya.; Dijksma, A.; Langer, H.; Wanjala, G. 6 2003 Eigenfunction expansions for nondensely defined differential operators. Zbl 0299.47023Dijksma, A.; de Snoo, H. S. V. 6 1975 The Schur algorithm for generalized Schur functions. I: Coisometric realizations. Zbl 1008.47017Alpay, Daniel; Azizov, Tomas; Dijksma, Aad; Langer, Heinz 6 2001 The Schur transformation for generalized Nevanlinna functions: interpolation and self-adjoint operator realizations. Zbl 1128.47016Alpay, Daniel; Dijksma, Aad; Langer, Heinz; Shondin, Yuri 5 2007 A Hilbert space associated with a Nevanlinna function. Zbl 0732.46015Alpay, Daniel; Bruinsma, Piet; Dijksma, Aad; de Snoo, Henk 5 1990 Uniform distribution of polynomials over \(GF\{q,x\}\) in GF[q,x]. II. Zbl 0199.37201Dijksma, A. 5 1970 Dissipative eigenvalue problems for a Sturm-Liouville operator with a singular potential. Zbl 0986.34020Bodenstorfer, Bernhard; Dijksma, Aad; Langer, Heinz 5 2000 A Beurling-Lax type theorem in the unit ball. (Un théorème de type Beurling-Lax dans la boule unité.) Zbl 1010.47015Alpay, Daniel; Dijksma, Aad; Rovnyak, James 5 2002 Finite-dimensional self-adjoint extensions of a symmetric operator with finite defect and their compressions. Zbl 06864062Dijksma, Aad; Langer, Heinz 4 2017 Characteristic functions of unitary colligations and of bounded operators in Krein spaces. Zbl 0674.47024Ćurgus, B.; Dijksma, A.; Langer, H.; de Snoo, H. S. V. 4 1989 A Schur transformation for functions in a general class of domains. Zbl 1254.30029Alpay, Daniel; Dijksma, Aad; Langer, Heinz; Volok, Dan 4 2012 On commutant lifting with finite defect. II. Zbl 0889.46022Arocena, Rodrigo; Azizov, Tomas Ya.; Dijksma, Aad; Marcantognini, Stefania A. M. 4 1997 Colligations in Pontryagin spaces with a symmetric characteristic function. Zbl 1059.47008Alpay, D.; Azizov, T. Ya.; Dijksma, A.; Rovnyak, J. 4 2002 Brune sections in nonstationary system theory. (Sections de Brune en théorie des systèmes non stationnaires.) Zbl 0952.93018Alpay, Daniel; Bolotnikov, Vladimir; Dewilde, Patrick; Dijksma, Aad 4 2000 The Schur algorithm for generalized Schur functions. II: Jordan chains and transformations of characteristic functions. Zbl 1043.47014Alpay, D.; Azizov, T. Ya.; Dijksma, A.; Langer, H. 4 2003 Characteristic functions of unitary operator colligations in \(\Pi_{\kappa}\)-spaces. Zbl 0612.47036Dijksma, A.; Langer, H.; de Snoo, H. S. V. 3 1986 Symmetric Sturm-Liouville operators with eigenvalue depending boundary condition. Zbl 0627.34024Dikjsma, Aad; Langer, Heinz; de Snoo, Henk 3 1987 A Schur type analysis of the minimal unitary Hilbert space extensions of a Kreĭn space isometry whose defect subspaces are Hilbert spaces. Zbl 0807.47012Dijksma, A.; Marcantognini, S. A. M.; de Snoo, H. S. V. 3 1994 Generalized Schur functions and augmented Schur parameters. Zbl 1118.30023Dijksma, Aad; Wanjala, Gerald 3 2006 \(J_{\ell}\)-unitary factorization and the Schur algorithm for Nevanlinna functions in an indefinite setting. Zbl 1113.47009Alpay, D.; Dijksma, A.; Langer, H. 3 2006 On commutant lifting with finite defect. Zbl 0853.46021Arocena, R.; Azizov, T. Ya.; Dijksma, A.; Marcantognini, S. A. M. 3 1996 Integral transforms and a class of singular S-Hermitian eigenvalue problems. Zbl 0268.34032Dijksma, A.; de Snoo, H. S. V. 3 1973 Nonstationary analogs of the Herglotz representation theorem: The discrete case. Zbl 0984.47008Alpay, D.; Dijksma, A.; Peretz, Y. 3 1999 Classical Nevanlinna-Pick interpolation with real interpolation points. Zbl 0944.30020Alpay, Daniel; Dijksma, Aad; Langer, Heinz 3 2000 Decompositions of a Krein space in regular subspaces invariant under a uniformly bounded \(C_{0}\)-semigroup of bi-contractions. Zbl 1073.47043Azizov, T. Ya.; Barsukov, A. I.; Dijksma, A. 3 2004 Reproducing kernel Pontryagin spaces. Zbl 0992.46019Alpay, Daniel; Dijksma, Aad; Rovnyak, James; De Snoo, Hendrik S. V. 3 1998 Uniform distribution of polynomials over \(GF\{q,x\}\) in \(GF\{q,x\}\). I. Zbl 0183.31402Dijksma, A. 3 1969 Finite-codimensional compressions of symmetric and self-adjoint linear relations in Krein spaces. Zbl 1454.47045Azizov, Tomas; Ćurgus, B.; Dijksma, Aad 3 2016 On the reproducing kernel of a Pontryagin space of vector valued polynomials. Zbl 1246.46018Ćurgus, B.; Dijksma, A. 3 2012 Singular point-like perturbations of the Laguerre operator in a Pontryagin space. Zbl 1049.47044Dijksma, Aad; Shondin, Yuri 3 2002 Notes on interpolation in the generalized Schur class. I: Applications of realization theory. Zbl 1030.30036Alpay, D.; Constantinescu, T.; Dijksma, A.; Rovnyak, J. 3 2002 Some extensions of Loewner’s theory of monotone operator functions. Zbl 1075.47008Alpay, D.; Bolotnikov, V.; Dijksma, A.; Rovnyak, J. 3 2002 Pointwise convergence of eigenfunction expansions, associated with a pair of ordinary differential expressions. Zbl 0546.34017Coddington, Earl A.; Dijksma, Aalt; de Snoo, Hendrik S. V. 2 1984 The commutant lifting theorem for contractions on Kreĭn spaces. Zbl 0809.47030Dijksma, Aad; Dritschel, Michael; Marcantognini, Stefania; de Snoo, Henk 2 1993 The Schur transformation for Nevanlinna functions: operator representations, resolvent matrices, and orthogonal polynomials. Zbl 1220.47020Alpay, D.; Dijksma, A.; Langer, H. 2 2009 Approximation of \(\mathcal N _{\kappa }^{\infty }\)-functions. I: Models and regularization. Zbl 1182.47037Dijksma, Aad; Luger, Annemarie; Shondin, Yuri 2 2009 Corrigendum to “Notes on interpolation in the generalized Schur class. II: Nudel’man’s problem”. Zbl 1435.47023Alpay, D.; Dijksma, A.; Rovnyak, J. 2 2019 Schur functions, operator colligations, and reproducing kernel Pontryagin spaces. (Fonctions de Schur, colligations d’opérateurs, et espaces de Pontryagin à noyau reproduisant.) Zbl 0951.47010Alpay, Daniel; Dijksma, Aad; Rovnyak, James; de Snoo, Henk 2 1996 Operators without eigenvalues in finite-dimensional vector spaces. Zbl 1518.47021Ćurgus, Branko; Dijksma, Aad 2 2020 Hilbert spaces contractively included in the Hardy space of the bidisk. (Espaces de Hilbert inclus contractivement dans l’espace de Hardy du bi-disque.) Zbl 0922.46021Alpay, Daniel; Bolotnikov, Vladimir; Dijksma, Aad; Rovnyak, James; Sadosky, Cora 2 1998 On the defect of noncontractive operators in Kreĭn spaces: A new formula and some applications. Zbl 0931.47027Azizov, Tomas Ya.; Khatskevich, Vladimir L.; Disksma, Aad 2 1998 The Schur algorithm for generalized Schur functions. IV: Unitary realizations. Zbl 1081.47013Alpay, D.; Azizov, T. Ya.; Dijksma, A.; Langer, H.; Wanjala, G. 2 2004 Note on uniformly distributed sequences of integers. Zbl 0186.08701Dijksma, A.; Meijer, H. G. 2 1969 On uniform distribution of sequences in \(GF[q,x]\) and \(GF\{q,x\}\). Zbl 0206.34502Meijer, H. G.; Dijksma, A. 2 1970 Selfadjoint \(\Pi _{\kappa}\)-extensions of symmetric subspaces: an abstract approach to boundary problems with spectral parameter in the boundary conditions. Zbl 0552.47015Dijksma, A.; Langer, H.; De Snoo, H. S. V. 1 1984 Augmented Schur parameters for generalized Nevanlinna functions and approximation. Zbl 1161.41004Alpay, D.; Dijksma, A.; Langer, H. 1 2009 Conditional reducibility of certain unbounded nonnegative Hamiltonian operator functions. Zbl 1276.47050Azizov, T. Ya.; Dijksma, A.; Gridneva, I. V. 1 2012 Minimal models for \({\mathcal N}_\kappa^\infty\)-functions. Zbl 1111.47026Dijksma, Aad; Luger, Annemarie; Shondin, Yuri 1 2006 Models for generalized Carathéodory and Nevanlinna functions. Zbl 0828.93019Bruinsma, P.; Dijksma, A.; de Snoo, H. 1 1993 Lectures on operator theory and its applications, Fields Institute for Research in Mathematical Sciences, Toronto, Canada 1994. Zbl 0830.00012 1 1996 On an inverse spectral problem for a quadratic Jacobi matrix pencil. Zbl 1074.15012Agranovich, Yuri; Azizov, Tomas; Barsukov, Andrei; Dijksma, Aad 1 2005 Symmetric subspaces related to certain eigenvalue problems. Zbl 0265.47022Dijksma, A.; de Snoo, H. S. V. 1 1973 Operators without eigenvalues in finite-dimensional vector spaces. Zbl 1518.47021Ćurgus, Branko; Dijksma, Aad 2 2020 Corrigendum to “Notes on interpolation in the generalized Schur class. II: Nudel’man’s problem”. Zbl 1435.47023Alpay, D.; Dijksma, A.; Rovnyak, J. 2 2019 Compressions of self-adjoint extensions of a symmetric operator and M.G. Krein’s resolvent formula. Zbl 06946537Dijksma, Aad; Langer, Heinz 7 2018 Finite-dimensional self-adjoint extensions of a symmetric operator with finite defect and their compressions. Zbl 06864062Dijksma, Aad; Langer, Heinz 4 2017 Finite-codimensional compressions of symmetric and self-adjoint linear relations in Krein spaces. Zbl 1454.47045Azizov, Tomas; Ćurgus, B.; Dijksma, Aad 3 2016 Compressions of maximal dissipative and self-adjoint linear relations and of dilations. Zbl 1300.47009Azizov, T. Ya.; Dijksma, A.; Wanjala, G. 17 2013 Closedness and adjoints of products of operators, and compressions. Zbl 1277.47002Azizov, T. Ya.; Dijksma, A. 11 2012 A Schur transformation for functions in a general class of domains. Zbl 1254.30029Alpay, Daniel; Dijksma, Aad; Langer, Heinz; Volok, Dan 4 2012 On the reproducing kernel of a Pontryagin space of vector valued polynomials. Zbl 1246.46018Ćurgus, B.; Dijksma, A. 3 2012 Conditional reducibility of certain unbounded nonnegative Hamiltonian operator functions. Zbl 1276.47050Azizov, T. Ya.; Dijksma, A.; Gridneva, I. V. 1 2012 Boundary interpolation and rigidity for generalized Nevanlinna functions. Zbl 1210.47040Alpay, Daniel; Dijksma, Aad; Langer, Heinz; Reich, Simeon; Shoikhet, David 8 2010 Quadratic (weakly) hyperbolic matrix polynomials: direct and inverse spectral problems. Zbl 1192.47011Azizov, T. Ya.; Dijksma, A.; Förster, K.-H.; Jonas, P. 1 2010 Approximation of \({\mathcal N}^\infty_\kappa\)-functions. II: Convergence of models. Zbl 1192.47036Dijksma, Aad; Luger, Annemarie; Shondin, Yuri 1 2010 Schur multipliers and de Branges-Rovnyak spaces: the multiscale case. Zbl 1174.47017Alpay, Daniel; Dijksma, Aad; Volok, Dan 6 2009 The Schur transformation for Nevanlinna functions: operator representations, resolvent matrices, and orthogonal polynomials. Zbl 1220.47020Alpay, D.; Dijksma, A.; Langer, H. 2 2009 Approximation of \(\mathcal N _{\kappa }^{\infty }\)-functions. I: Models and regularization. Zbl 1182.47037Dijksma, Aad; Luger, Annemarie; Shondin, Yuri 2 2009 Augmented Schur parameters for generalized Nevanlinna functions and approximation. Zbl 1161.41004Alpay, D.; Dijksma, A.; Langer, H. 1 2009 The transformation of Issai Schur and related topics in an indefinite setting. Zbl 1128.47015Alpay, D.; Dijksma, A.; Langer, H. 11 2007 The Schur transformation for generalized Nevanlinna functions: interpolation and self-adjoint operator realizations. Zbl 1128.47016Alpay, Daniel; Dijksma, Aad; Langer, Heinz; Shondin, Yuri 5 2007 Basic boundary interpolation for generalized Schur functions and factorization of rational \(J\)-unitary matrix functions. Zbl 1124.47011Alpay, Daniel; Dijksma, Aad; Langer, Heinz; Wanjala, Gerald 6 2006 Generalized Schur functions and augmented Schur parameters. Zbl 1118.30023Dijksma, Aad; Wanjala, Gerald 3 2006 \(J_{\ell}\)-unitary factorization and the Schur algorithm for Nevanlinna functions in an indefinite setting. Zbl 1113.47009Alpay, D.; Dijksma, A.; Langer, H. 3 2006 Minimal models for \({\mathcal N}_\kappa^\infty\)-functions. Zbl 1111.47026Dijksma, Aad; Luger, Annemarie; Shondin, Yuri 1 2006 Spectral problems for operator matrices. Zbl 1103.47001Bátkai, A.; Binding, P.; Dijksma, A.; Hryniv, R.; Langer, H. 20 2005 High order singular rank one perturbations of a positive operator. Zbl 1104.47024Dijksma, A.; Kurasov, P.; Shondin, Yu. 16 2005 On an inverse spectral problem for a quadratic Jacobi matrix pencil. Zbl 1074.15012Agranovich, Yuri; Azizov, Tomas; Barsukov, Andrei; Dijksma, Aad 1 2005 Point evaluation and Hardy space: the multiscale case. (Évaluation ponctuelle et espace de Hardy : le cas multi-échelle.) Zbl 1062.47036Alpay, Daniel; Dijksma, Aad; Volok, Dan 1 2005 Minimal realizations of scalar generalized Nevanlinna functions related to their basic factorization. Zbl 1084.47007Dijksma, Aad; Langer, Heinz; Luger, Annemarie; Shondin, Yuri 8 2004 Factorization of \(J\)-unitary matrix polynomials on the line and a Schur algorithm for generalized Nevanlinna functions. Zbl 1073.47507Alpay, D.; Dijksma, A.; Langer, H. 7 2004 Rank one perturbations at infinite coupling in Pontryagin spaces. Zbl 1068.47041Dijksma, Aad; Langer, Heinz; Shondin, Yuri 6 2004 Decompositions of a Krein space in regular subspaces invariant under a uniformly bounded \(C_{0}\)-semigroup of bi-contractions. Zbl 1073.47043Azizov, T. Ya.; Barsukov, A. I.; Dijksma, A. 3 2004 The Schur algorithm for generalized Schur functions. IV: Unitary realizations. Zbl 1081.47013Alpay, D.; Azizov, T. Ya.; Dijksma, A.; Langer, H.; Wanjala, G. 2 2004 A theorem of Beurling-Lax type for Hilbert spaces of functions analytic in the unit ball. Zbl 1046.46022Alpay, D.; Dijksma, A.; Rovnyak, J. 14 2003 On the boundedness of Hamiltonian operators. Zbl 1009.47022Azizov, Tomas Ya.; Dijksma, Aad; Gridneva, Irina V. 13 2003 Standard symmetric operators in Pontryagin spaces: A generalized von Neumann formula and minimality of boundary coefficients. Zbl 1028.47027Azizov, Tomas; Ćurgus, Branko; Dijksma, Aad 8 2003 Notes on interpolation in the generalized Schur class. II. Nudel’man’s problem. Zbl 1060.47020Alpay, D.; Constantinescu, T.; Dijksma, A.; Rovnyak, J. 6 2003 The Schur algorithm for generalized Schur functions. III: \(J\)-unitary matrix polynomials on the circle. Zbl 1068.47020Alpay, Daniel; Azizov, Tomas; Dijksma, Aad; Langer, Heinz 6 2003 A basic interpolation problem for generalized Schur functions and coisometric realizations. Zbl 1056.47010Alpay, D.; Azizov, T. Ya.; Dijksma, A.; Langer, H.; Wanjala, G. 6 2003 The Schur algorithm for generalized Schur functions. II: Jordan chains and transformations of characteristic functions. Zbl 1043.47014Alpay, D.; Azizov, T. Ya.; Dijksma, A.; Langer, H. 4 2003 A Beurling-Lax type theorem in the unit ball. (Un théorème de type Beurling-Lax dans la boule unité.) Zbl 1010.47015Alpay, Daniel; Dijksma, Aad; Rovnyak, James 5 2002 Colligations in Pontryagin spaces with a symmetric characteristic function. Zbl 1059.47008Alpay, D.; Azizov, T. Ya.; Dijksma, A.; Rovnyak, J. 4 2002 Singular point-like perturbations of the Laguerre operator in a Pontryagin space. Zbl 1049.47044Dijksma, Aad; Shondin, Yuri 3 2002 Notes on interpolation in the generalized Schur class. I: Applications of realization theory. Zbl 1030.30036Alpay, D.; Constantinescu, T.; Dijksma, A.; Rovnyak, J. 3 2002 Some extensions of Loewner’s theory of monotone operator functions. Zbl 1075.47008Alpay, D.; Bolotnikov, V.; Dijksma, A.; Rovnyak, J. 3 2002 Nonstationary analogues of the Herglotz representation theorem for unbounded operators. Zbl 1011.93023Alpay, D.; Bolotnikov, V.; Dijksma, A.; Freydin, B. 1 2002 On the Loewner problem in the class \(\mathbf{N}_{\kappa}\). Zbl 0987.30014Alpay, D.; Dijksma, A.; Langer, H. 1 2002 The linearization of boundary eigenvalue problems and reproducing kernel Hilbert spaces. Zbl 0996.47025Ćurgus, Branko; Dijksma, Aad; Read, Tom 13 2001 Realization and factorization in reproducing kernel Pontryagin spaces. Zbl 1060.46507Alpay, D.; Dijksma, A.; Rovnyak, J.; de Snoo, H. S. V. 7 2001 Hilbert spaces contractively included in the Hardy space of the bidisk. Zbl 0976.46012Alpay, D.; Bolotnikov, V.; Dijksma, A.; Sadosky, C. 6 2001 The Schur algorithm for generalized Schur functions. I: Coisometric realizations. Zbl 1008.47017Alpay, Daniel; Azizov, Tomas; Dijksma, Aad; Langer, Heinz 6 2001 Similarity between Kreĭn space bicontractions and Hilbert space contractions. Zbl 1026.47026Azizov, T. Ya.; Barsukov, A. I.; Dijksma, A.; Jonas, P. 1 2001 A factorization result for generalized Nevanlinna functions of the class \(N_k\). Zbl 0958.30023Dijksma, A.; Langer, H.; Luger, A.; Shondin, Yu. 33 2000 Singular point-like perturbations of the Bessel operator in a Pontryagin space. Zbl 0960.47021Dijksma, Aad; Shondin, Yuri 15 2000 Self-adjoint operators with inner singularities and Pontryagin spaces. Zbl 0965.47022Dijksma, Aad; Langer, Heinz; Shondin, Yuri; Zeinstra, Chris 15 2000 On basis properties of selfadjoint operator functions. Zbl 0972.47009Azizov, T. Ya.; Dijksma, A.; Sukhocheva, L. I. 7 2000 Dissipative eigenvalue problems for a Sturm-Liouville operator with a singular potential. Zbl 0986.34020Bodenstorfer, Bernhard; Dijksma, Aad; Langer, Heinz 5 2000 Brune sections in nonstationary system theory. (Sections de Brune en théorie des systèmes non stationnaires.) Zbl 0952.93018Alpay, Daniel; Bolotnikov, Vladimir; Dewilde, Patrick; Dijksma, Aad 4 2000 Classical Nevanlinna-Pick interpolation with real interpolation points. Zbl 0944.30020Alpay, Daniel; Dijksma, Aad; Langer, Heinz 3 2000 Nonstationary analogs of the Herglotz representation theorem: The discrete case. Zbl 0984.47008Alpay, D.; Dijksma, A.; Peretz, Y. 3 1999 On the Nevanlinna-Pick interpolation problem for generalized Stieltjes functions. Zbl 0910.47010Alpay, D.; Bolotnikov, V.; Dijksma, A. 6 1998 Reproducing kernel Pontryagin spaces. Zbl 0992.46019Alpay, Daniel; Dijksma, Aad; Rovnyak, James; De Snoo, Hendrik S. V. 3 1998 Hilbert spaces contractively included in the Hardy space of the bidisk. (Espaces de Hilbert inclus contractivement dans l’espace de Hardy du bi-disque.) Zbl 0922.46021Alpay, Daniel; Bolotnikov, Vladimir; Dijksma, Aad; Rovnyak, James; Sadosky, Cora 2 1998 On the defect of noncontractive operators in Kreĭn spaces: A new formula and some applications. Zbl 0931.47027Azizov, Tomas Ya.; Khatskevich, Vladimir L.; Disksma, Aad 2 1998 Schur functions, operator colligations, and reproducing kernel Pontryagin spaces. Zbl 0879.47006Alpay, Daniel; Dijksma, Aad; Rovnyak, James; de Snoo, Hendrik 122 1997 Notes on a Nevanlinna-Pick interpolation problem for generalized Nevanlinna functions. Zbl 0933.47024Dijsksma, Aad; Langer, Heinz 10 1997 On commutant lifting with finite defect. II. Zbl 0889.46022Arocena, Rodrigo; Azizov, Tomas Ya.; Dijksma, Aad; Marcantognini, Stefania A. M. 4 1997 Operator theory and ordinary differential operators. Zbl 0883.47018Dijksma, Aad; Langer, Heinz 20 1996 On commutant lifting with finite defect. Zbl 0853.46021Arocena, R.; Azizov, T. Ya.; Dijksma, A.; Marcantognini, S. A. M. 3 1996 Schur functions, operator colligations, and reproducing kernel Pontryagin spaces. (Fonctions de Schur, colligations d’opérateurs, et espaces de Pontryagin à noyau reproduisant.) Zbl 0951.47010Alpay, Daniel; Dijksma, Aad; Rovnyak, James; de Snoo, Henk 2 1996 Lectures on operator theory and its applications, Fields Institute for Research in Mathematical Sciences, Toronto, Canada 1994. Zbl 0830.00012 1 1996 A Schur type analysis of the minimal unitary Hilbert space extensions of a Kreĭn space isometry whose defect subspaces are Hilbert spaces. Zbl 0807.47012Dijksma, A.; Marcantognini, S. A. M.; de Snoo, H. S. V. 3 1994 Eigenvalues and pole functions of Hamiltonian systems with eigenvalue depending boundary conditions. Zbl 0795.34070Dijksma, Aad; Langer, Heinz; de Snoo, Henk 41 1993 On some operator colligations and associated reproducing kernel Hilbert spaces. Zbl 0794.47006Alpay, Daniel; Bolotnikov, Vladimir; Dijksma, Aad; de Snoo, Henk 11 1993 The commutant lifting theorem for contractions on Kreĭn spaces. Zbl 0809.47030Dijksma, Aad; Dritschel, Michael; Marcantognini, Stefania; de Snoo, Henk 2 1993 Models for generalized Carathéodory and Nevanlinna functions. Zbl 0828.93019Bruinsma, P.; Dijksma, A.; de Snoo, H. 1 1993 Interpolation problems, extensions of symmetric operators and reproducing kernel spaces. II. Zbl 0780.47016Alpay, Daniel; Bruinsma, Piet; Dijksma, Aad; De Snoo, Henk 10 1992 Holomorphic operators between Krein spaces and the number of squares of associated kernels. Zbl 0790.47028Alpay, D.; Dijksma, A.; van der Ploeg, J.; de Snoo, H. S. V. 8 1992 Interpolation problems, extensions of symmetric operators and reproducing kernel spaces. II. Zbl 0787.47013Alpay, Daniel; Bruinsma, Piet; Dijksma, Aad; de Snoo, Henk 20 1991 Interpolation problems, extensions of symmetric operators and reproducing kernel spaces. I. Zbl 0737.47016Alpay, Daniel; Bruinsma, Piet; Dijksma, Aad; de Snoo, Henk 17 1991 Generalized coresolvents of standard isometric operators and generalized resolvents of standard symmetric relations in Krejn spaces. Zbl 0734.47018Dijksma, Aad; Langer, Heinz; de Snoo, Henk 12 1990 Selfadjoint extensions of regular canonical systems with Stieltjes boundary conditions. Zbl 0714.34032Dijksma, A.; De Snoo, H. S. V.; El Sabbagh, A. A. 8 1990 A Hilbert space associated with a Nevanlinna function. Zbl 0732.46015Alpay, Daniel; Bruinsma, Piet; Dijksma, Aad; de Snoo, Henk 5 1990 Characteristic functions of unitary colligations and of bounded operators in Krein spaces. Zbl 0674.47024Ćurgus, B.; Dijksma, A.; Langer, H.; de Snoo, H. S. V. 4 1989 Hamiltonian systems with eigenvalue depending boundary conditions. Zbl 0686.58019Dijksma, Aad; Langer, Heinz; de Snoo, Henk 9 1988 Symmetric and selfadjoint relations in Krein spaces. I. Zbl 0625.47030Dijksma, A.; de Snoo, H. S. V. 35 1987 Symmetric and selfadjoint relations in Krein spaces. II. Zbl 0593.47039Dijksma, A.; de Snoo, H. S. V. 23 1987 Unitary colligations in Krein spaces and their role in the extension theory of isometries and symmetric linear relations in Hilbert spaces. Zbl 0628.47026Dijksma, Aad; Langer, Heinz; de Snoo, Henk 10 1987 Symmetric Sturm-Liouville operators with eigenvalue depending boundary condition. Zbl 0627.34024Dikjsma, Aad; Langer, Heinz; de Snoo, Henk 3 1987 Unitary colligations in \(\pi _ k\)-spaces, characteristic functions and Shtraus extensions. Zbl 0573.47027Dijksma, A.; Langer, H.; de Snoo, H. S. V. 14 1986 Characteristic functions of unitary operator colligations in \(\Pi_{\kappa}\)-spaces. Zbl 0612.47036Dijksma, A.; Langer, H.; de Snoo, H. S. V. 3 1986 Eigenfunction expansions associated with pairs of ordinary differential expressions. Zbl 0551.47008Dijksma, Aalt; de Snoo, Hendrik S. V. 18 1985 Selfadjoint \(\Pi _{\kappa}\)-extensions of symmetric subspaces: An abstract approach to boundary problems with spectral parameter in the boundary conditions. Zbl 0552.47014Dijksma, A.; Langer, H.; De Snoo, H. S. V. 16 1984 Pointwise convergence of eigenfunction expansions, associated with a pair of ordinary differential expressions. Zbl 0546.34017Coddington, Earl A.; Dijksma, Aalt; de Snoo, Hendrik S. V. 2 1984 Selfadjoint \(\Pi _{\kappa}\)-extensions of symmetric subspaces: an abstract approach to boundary problems with spectral parameter in the boundary conditions. Zbl 0552.47015Dijksma, A.; Langer, H.; De Snoo, H. S. V. 1 1984 Eigenfunction expansions for a class of J-selfadjoint ordinary differential operators with boundary conditions containing the eigenvalue parameter. Zbl 0434.47037Dijksma, Aalt 19 1980 Adjoint subspaces in Banach spaces, with applications to ordinary differential subspaces. Zbl 0408.47035Coddington, Earl A.; Dijksma, Aalt 30 1978 Selfadjoint subspaces and eigenfunction expansions for ordinary differential subspaces. Zbl 0306.34023Coddington, Earl A.; Dijksma, Aalt 39 1976 Eigenfunction expansions for nondensely defined differential operators. Zbl 0299.47023Dijksma, A.; de Snoo, H. S. V. 6 1975 Self-adjoint extensions of symmetric subspaces. Zbl 0304.47006Dijksma, A.; de Snoo, H. S. V. 69 1974 Integral transforms and a class of singular S-Hermitian eigenvalue problems. Zbl 0268.34032Dijksma, A.; de Snoo, H. S. V. 3 1973 ...and 6 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 380 Authors 92 Alpay, Daniel Aron 46 Dijksma, Aad 26 Colombo, Fabrizio 25 Langer, Heinz 24 Sabadini, Irene 23 Behrndt, Jussi 22 Bolotnikov, Vladimir 22 de Snoo, Hendrik S. V. 21 Derkach, Volodymyr Oleksandrovych 20 Jørgensen, Palle E. T. 15 Jeribi, Aref 15 Shi, Yuming 14 Woracek, Harald 13 Chen, Alatancang 13 Mogilevskii, Vadim 12 Ball, Joseph Anthony 12 Luger, Annemarie 12 Trunk, Carsten 12 Volok, Dan 10 Azizov, Tomas Ya. 10 Derevyagin, Maxim S. 10 Hassi, Seppo 9 Dym, Harry 9 Lewkowicz, Izchak 9 Malamud, Mark M. 9 Ren, Guojing 9 Staffans, Olof Johan 8 Arov, Damir Zyamovich 8 Huang, Junjie 8 Tian, Feng 7 Ammar, Aymen 7 Binding, Paul Anthony 7 Ćurgus, Branko 7 Gheondea, Aurelian 7 Kaltenbäck, Michael 7 Liu, Yan 7 Rodman, Leiba X. 7 Rovnyak, James 7 Vinnikov, Victor L. 7 Winkler, Henrik 6 Arlins’kyĭ, Yuriĭ Moĭseĭovych 6 Constantinescu, Tiberiu 6 Gao, Chenghua 6 Wietsma, Hendrik Luit 5 Álvarez Seco, Teresa 5 Browne, Patrick J. 5 Bruk, Vladislav Moiseevich 5 Coddington, Earl A. 5 Dubi, Chen 5 Kimsey, David Patrick 5 Marcantognini, Stefania A. M. 5 Neidhardt, Hagen 5 Shoikhet, David 5 Teschl, Gerald 5 Tretter, Christiane 5 Xu, Guixin 4 Charfi, Salma 4 Cho, Ilwoo 4 Diki, Kamal 4 Gantner, Jonathan 4 Juršėnas, Rytis 4 Kostenko, Aleksey S. 4 Kurasov, Pavel B. 4 Langer, Matthias 4 Nashed, M. Zuhair 4 Philipp, Friedrich 4 Tsekanovskii, Eduard R. 4 Walha, Ines 4 Watson, Bruce Alastair 4 Weber, Eric S. 4 Wu, Deyu 3 Abu-Ghanem, Khaled 3 Belyi, Sergey V. 3 Brown, Richard Clark 3 Cerejeiras, Paula 3 Clark, Stephen L. 3 Fulton, Charles T. 3 Herr, John E. 3 Hou, Guolin 3 Hryniv, Rostyslav O. 3 Kähler, Uwe 3 Kheifets, Alexander 3 Krichen, Bilel 3 Kurula, Mikael 3 Lilleberg, Lassi 3 Martínez Pería, Francisco D. 3 Morán, María Dolores 3 Nowak, Adam 3 Popescu, Gelu 3 Rios-Cangas, Josué I. 3 Rohleder, Jonathan 3 Shondin, Yuri 3 Silva, Luis O. 3 Sjogren, Peter 3 Sun, Huaqing 3 Tvrdý, Milan 3 Ugurlu, Ekin 3 Wang, Hua 3 Wojtylak, Michał 3 Zemánek, Petr ...and 280 more Authors all top 5 Cited in 128 Serials 60 Integral Equations and Operator Theory 59 Linear Algebra and its Applications 34 Journal of Functional Analysis 32 Journal of Mathematical Analysis and Applications 26 Mathematische Nachrichten 24 Complex Analysis and Operator Theory 22 Journal of Differential Equations 14 Proceedings of the American Mathematical Society 13 Journal of Mathematical Sciences (New York) 10 Mathematical Notes 9 Linear and Multilinear Algebra 8 Proceedings of the Royal Society of Edinburgh. 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Série VI 1 Russian Mathematics 1 Potential Analysis 1 The Journal of Analysis ...and 28 more Serials all top 5 Cited in 41 Fields 423 Operator theory (47-XX) 125 Ordinary differential equations (34-XX) 123 Functional analysis (46-XX) 111 Functions of a complex variable (30-XX) 35 Linear and multilinear algebra; matrix theory (15-XX) 31 Systems theory; control (93-XX) 30 Partial differential equations (35-XX) 29 Harmonic analysis on Euclidean spaces (42-XX) 26 Quantum theory (81-XX) 22 Difference and functional equations (39-XX) 19 Several complex variables and analytic spaces (32-XX) 15 Special functions (33-XX) 13 Approximations and expansions (41-XX) 12 Dynamical systems and ergodic theory (37-XX) 10 Number theory (11-XX) 9 Numerical analysis (65-XX) 8 Probability theory and stochastic processes (60-XX) 7 Measure and integration (28-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Combinatorics (05-XX) 5 Potential theory (31-XX) 5 Statistics (62-XX) 4 Real functions (26-XX) 3 Integral transforms, operational calculus (44-XX) 3 Integral equations (45-XX) 3 Mechanics of deformable solids (74-XX) 3 Information and communication theory, circuits (94-XX) 2 Commutative algebra (13-XX) 2 Topological groups, Lie groups (22-XX) 2 General topology (54-XX) 2 Fluid mechanics (76-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Abstract harmonic analysis (43-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year