The Nevanlinna formula for matrix Nevanlinna-Pick interpolation

Authors: Dyukarev, Yury

Source: Linear Algebra and its Applications. 709:241-270

Subject Terms: Moment problems, matrix Nevanlinna-Pick interpolation problem, matrix Hamburger moment problem, Moment problems and interpolation problems in the complex plane, Approximation in the complex plane, Linear operator methods in interpolation, moment and extension problems

File Description: application/xml

A Moment Approach to Analyze Zeros of Triangular Polynomial Sets: A moment approach to analyze zeros of triangular polynomial sets

Authors: Jean B. Lasserre

Source: Lecture Notes in Control and Information Sciences ISBN: 9783540239482

Subject Terms: 4. Education, Polynomials in real and complex fields: location of zeros (algebraic theorems), 0101 mathematics, Moment problems and interpolation problems in the complex plane, 16. Peace & justice, 01 natural sciences, Real polynomials: location of zeros

File Description: application/xml

Access URL: http://www.ams.org/tran/2006-358-04/S0002-9947-05-03972-3/S0002-9947-05-03972-3.pdf
https://www.ams.org/tran/2006-358-04/S0002-9947-05-03972-3/S0002-9947-05-03972-3.pdf
http://www.optimization-online.org/DB_FILE/2004/03/840.pdf
https://www.ams.org/journals/tran/2006-358-04/S0002-9947-05-03972-3/home.html
https://www.ams.org/tran/2006-358-04/S0002-9947-05-03972-3/S0002-9947-05-03972-3.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=2205965

Linear analysis of quandrature domains. II: Linear analysis of quadrature domains. II

Authors: Björn Gustafsson, Mihai Putinar

Source: Operator Theory: Advances and Applications ISBN: 3764371455

Subject Terms: quadrature domain, 4. Education, 0101 mathematics, Moment problems and interpolation problems in the complex plane, 01 natural sciences

File Description: application/xml

Access URL: http://www.diva-portal.org/smash/record.jsf?pid=diva2:338965
https://link.springer.com/article/10.1007/BF02810668

On Truncated Matricial Stieltjes Type Moment Problems: On truncated matricial Stieltjes type moment problems

Authors: Yuriy M. Dyukarev, Bernd Fritzsche, Conrad Mädler, Bernd Kirstein

Source: Complex Analysis and Operator Theory. 4:905-951

Subject Terms: nonnegative Hermitian block Hankel matrices, nonnegative Hermitian measures, truncated matricial Stieltjes type moment problem, completely degenerate nonnegative Hermitian measure, Moment problems, 0101 mathematics, Moment problems and interpolation problems in the complex plane, Linear operator methods in interpolation, moment and extension problems, 01 natural sciences, Hankel nonnegative definite sequences, completely degenerate Hankel nonnegative definite sequences

File Description: application/xml

Access URL: https://zbmath.org/5826151
https://doi.org/10.1007/s11785-009-0002-8
https://link.springer.com/article/10.1007%2Fs11785-009-0002-8
https://link.springer.com/content/pdf/10.1007%2Fs11785-009-0002-8.pdf

Parameterization of All Solutions of the Three Chains Completion Problem: Parametrization of all solutions of the three chains completion problem

Authors: Ciprian Foias, Arthur E. Frazho, Marinus A. Kaashoek, Israel Gohberg

Source: Metric Constrained Interpolation, Commutant Lifting and Systems ISBN: 9783034897754

Subject Terms: Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators, 0101 mathematics, Moment problems and interpolation problems in the complex plane, 16. Peace & justice, Linear operator methods in interpolation, moment and extension problems, 01 natural sciences, suboptimal nonstationary Nehari problem, contractive upper triangular operators

File Description: application/xml

Access URL: https://zbmath.org/1113586
https://doi.org/10.1007/bf01193812
https://link.springer.com/chapter/10.1007/978-3-0348-8791-5_15
https://link.springer.com/content/pdf/10.1007/BF01193812.pdf
https://rd.springer.com/chapter/10.1007/978-3-0348-8791-5_15

A Criterion for the Nonuniqueness of the Measure of Orthogonality: A criterion for the nonuniqueness of the measure of orthogonality

Authors: Ifantis, E. K.

Source: Journal of Approximation Theory. 89:207-218

Subject Terms: Mathematics(all), Numerical Analysis, Applied Mathematics, Applied mathematics, Moment problems and interpolation problems in the complex plane, 01 natural sciences, orthonormal polynomials, Linear symmetric and selfadjoint operators (unbounded), selfadjoint operator, Jacobi matrix, recurrence relation, Εφαρμοσμένα μαθηματικά, 0101 mathematics, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, Linear operator methods in interpolation, moment and extension problems, Analysis

File Description: application/xml

Access URL: https://www.sciencedirect.com/science/article/abs/pii/S0021904596930312
https://core.ac.uk/display/82716419
https://www.sciencedirect.com/science/article/pii/S0021904596930312
https://pergamos.lib.uoa.gr/uoa/dl/object/1058101

Interpolation of entire functions on regular sparse sets and q-Taylor series: Interpolation of entire functions on regular sparse sets and \(q\)-Taylor series

Authors: Michael Welter

Source: Journal de théorie des nombres de Bordeaux. 17:397-404

Subject Terms: Basic hypergeometric functions in one variable, \({}_r\phi_s\), \(q\)-calculus and related topics, Special classes of entire functions of one complex variable and growth estimates, 0101 mathematics, Moment problems and interpolation problems in the complex plane, 01 natural sciences, Interpolation in approximation theory

File Description: application/xml

Access URL: http://www.numdam.org/item/10.5802/jtnb.497.pdf
https://zbmath.org/2205452
https://doi.org/10.5802/jtnb.497
https://www.math.uni-bonn.de/people/welter/JTNB_2005__17_1_397_0.pdf
https://eudml.org/doc/249438
http://almira.math.u-bordeaux.fr/jtnb/2005-1/pages397-404.pdf

Nontrivial expansions of zero and representation of analytic functions by series of simple fractions

Authors: V. B. Sherstyukov

Source: Siberian Mathematical Journal. 48:369-381

Subject Terms: Wolff-Denjoy series, representation operator, Summability and bases in topological vector spaces, generalized Laplace transform, convolution operator, Topological linear spaces of continuous, differentiable or analytic functions, 0102 computer and information sciences, 0101 mathematics, Moment problems and interpolation problems in the complex plane, Pommier operator, 01 natural sciences, nontrivial expansion of zero, absolutely representing system

File Description: application/xml

Access URL: https://zbmath.org/5379369
https://dialnet.unirioja.es/servlet/articulo?codigo=2281766
https://link.springer.com/article/10.1007%2Fs11202-007-0039-8
https://link.springer.com/10.1007/s11202-007-0039-8

H∞ Control of railroad vehicle active suspension: The regulator problem with robust stability

Authors: Satoshi Koizumi, Ryoichi Takahashi, Toshiaki Hirata

Source: Automatica. 31:13-24

Subject Terms: 0209 industrial biotechnology, 0203 mechanical engineering, Linear systems in control theory, 4. Education, robust stability margin, regulator problem, multivariable linear systems, 02 engineering and technology, Feedback control, stability, Robust stability, Moment problems and interpolation problems in the complex plane

File Description: application/xml

Access URL: https://ir.cwi.nl/pub/1421/1421D.pdf
https://zbmath.org/819357
https://doi.org/10.1016/0005-1098(95)00060-a
https://research.tilburguniversity.edu/en/publications/94610529-bf29-435e-8aad-a9eba806257a
https://research.tilburguniversity.edu/en/publications/cf41c9f4-ab93-41e9-a76a-c6515a85bc4a
http://www.sciencedirect.com/science/article/pii/0005109894E0048M
https://dl.acm.org/doi/10.5555/214941.214950
https://research.tilburguniversity.edu/en/publications/the-regulator-problem-with-robust-stability-2
https://doi.org/10.1016/0005-1098(95)00060-A
https://dblp.uni-trier.de/db/journals/automatica/automatica31.html#CevikS95
https://www.sciencedirect.com/science/article/pii/0005109894E0048M
https://www.sciencedirect.com/science/article/pii/S1474667017454681
http://arno.uvt.nl/show.cgi?fid=44136
https://pure.uvt.nl/portal/files/701987/regulator.pdf

On rank invariance of generalized Schwarz–Pick–Potapov block matrices of matrix-valued Carathéodory functions: On rank invariance of generalized Schwarz--Pick--Potapov block matrices of matrix-valued Carathéodory functions

Authors: Andreas Lasarow

Source: Linear Algebra and its Applications. 413:36-58

Subject Terms: Numerical Analysis, Algebra and Number Theory, Matricial Carathéodory function, matricial Carathéodory function, generalized Schwarz--Pick--Potapov block matrix, Nevanlinna--Pick interpolation, Nevanlinna–Pick interpolation, Moment problems and interpolation problems in the complex plane, 01 natural sciences, Generalized Schwarz–Pick–Potapov block matrix, Discrete Mathematics and Combinatorics, Hermitian, skew-Hermitian, and related matrices, Geometry and Topology, 0101 mathematics, Linear operator methods in interpolation, moment and extension problems

File Description: application/xml

Access URL: https://zbmath.org/5012987
https://doi.org/10.1016/j.laa.2005.07.020
https://www.sciencedirect.com/science/article/pii/S0024379505003861
https://www.sciencedirect.com/science/article/abs/pii/S0024379505003861
https://core.ac.uk/display/34328885

Functional calculus under Kreiss type conditions

Authors: Pascale Vitse

Source: Mathematische Nachrichten. 278:1811-1822

Subject Terms: Functional calculus for linear operators, Besov spaces, Pick interpolation, resolvent growth, Kreiss condition, Kreiss matrix inequality, Spectrum, resolvent, functional calculus, 0101 mathematics, Moment problems and interpolation problems in the complex plane, 01 natural sciences

File Description: application/xml

Access URL: https://onlinelibrary.wiley.com/doi/abs/10.1002/mana.200310341

Orthogonal Laurent polynomials corresponding to certain strong Stieltjes distributions with applications to numerical quadratures

Authors: Pablo González-Vera, C. Díaz-Mendoza, F. Cala Rodríguez, M. Jiménez Paiz

Source: Mathematics of Computation. 75:281-305

Subject Terms: strong Stieltjes distributions, orthogonal Laurent polynomials, two-point Padé approximation, Stieltjes transform, quadrature formulas, 0101 mathematics, Moment problems and interpolation problems in the complex plane, Padé approximation, 01 natural sciences

File Description: application/xml

Access URL: https://www.ams.org/mcom/2006-75-253/S0025-5718-05-01781-3/S0025-5718-05-01781-3.pdf
https://www.ams.org/journals/mcom/2006-75-253/S0025-5718-05-01781-3/home.html
http://ui.adsabs.harvard.edu/abs/2006MaCom..75..281D/abstract
https://www.ams.org/mcom/2006-75-253/S0025-5718-05-01781-3/S0025-5718-05-01781-3.pdf
https://dblp.uni-trier.de/db/journals/moc/moc75.html#Diaz-MendozaGPR06

Ullemar’s formula for the moment map, II: Ullemar's formula for the moment map. II

Authors: Vladimir G. Tkachev

Source: Linear Algebra and its Applications. 404:380-388

Subject Terms: Numerical Analysis, mirror conjugate, Algebra and Number Theory, Mathematics - Complex Variables, 30E05, 30C20, 44A60, 15A15, Moment problems and interpolation problems in the complex plane, Mathematics - Commutative Algebra, Commutative Algebra (math.AC), 01 natural sciences, Resultants, moment map, 0103 physical sciences, FOS: Mathematics, Conformal mappings of special domains, Discrete Mathematics and Combinatorics, Moment map, resultants, Geometry and Topology, Complex Variables (math.CV), 0101 mathematics, univalent polynomials, Univalent polynomials, Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane, Jacobian

File Description: application/xml

Access URL: http://arxiv.org/abs/0709.4275
https://zbmath.org/2189390
https://doi.org/10.1016/j.laa.2005.03.012
http://www.diva-portal.org/smash/record.jsf?pid=diva2:607579
https://www.sciencedirect.com/science/article/abs/pii/S0024379505001692
https://core.ac.uk/display/82231479
https://arxiv.org/abs/0709.4275v1
https://www.sciencedirect.com/science/article/pii/S0024379505001692
https://ui.adsabs.harvard.edu/abs/2007arXiv0709.4275T/abstract

THE QUARTIC MOMENT PROBLEM: The quartic moment problem

Authors: Li, Chunji, Lee, Sang Hoon

Source: Journal of the Korean Mathematical Society. 42:723-747

Subject Terms: flat extension, Moment problems, 0101 mathematics, Moment problems and interpolation problems in the complex plane, quartic moment problem, Linear operator methods in interpolation, moment and extension problems, 01 natural sciences, representing measure

File Description: application/xml

Access URL: http://society.kisti.re.kr/sv/SV_svpsbs03V.do?method=download&cn1=JAKO200504840680281
http://koreascience.or.kr/article/ArticleFullRecord.jsp?cn=DBSHBB_2005_v42n4_723

Zero cancellation

Authors: Dym, Harry, Nevo, Shahar

Source: Linear Algebra and its Applications. 404:1-26

Subject Terms: Numerical Analysis, Smith–McMillan forms, Algebra and Number Theory, Pole cancellation, \(J\)-inner matrix valued functions, Applications of operator theory in chemistry and life sciences, Smith-McMillan forms, J-lossless conjugators, 0102 computer and information sciences, Moment problems and interpolation problems in the complex plane, 01 natural sciences, Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral), \(J\)-lossless conjugators, Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators, Zero cancellation, Discrete Mathematics and Combinatorics, Geometry and Topology, 0101 mathematics, Stability, Riccati equations, J-inner matrix valued functions, Eigenvalue problems

File Description: application/xml

Access URL: https://zbmath.org/2189370
https://doi.org/10.1016/j.laa.2005.02.015

On Hilbert modules of rational matrix-valued functions and related inverse problems

Authors: Andreas Lasarow, Bernd Fritzsche, Bernd Kirstein

Source: Journal of Computational and Applied Mathematics. 179:215-248

Subject Terms: Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces), Applied Mathematics, Nonnegative Hermitian Borel measures on the unit circle, Moment problems and interpolation problems in the complex plane, Reproducing kernels, 01 natural sciences, Orthogonal rational matrix-valued functions, Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones), Rational moment problem, orthogonal rational matrix-valued functions, reproducing kernels, Computational Mathematics, rational moment problem, Moment problems, Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces), 0101 mathematics, Linear operator methods in interpolation, moment and extension problems, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, nonnegative Hermitian Borel measures on the unit circle

File Description: application/xml

Access URL: https://zbmath.org/2173196
https://doi.org/10.1016/j.cam.2004.09.042
https://www.sciencedirect.com/science/article/pii/S0377042704004509
https://core.ac.uk/display/34328825
https://ui.adsabs.harvard.edu/abs/2005JCoAM.179..215F/abstract

Pole cancellation

Authors: Dym, Harry, Nevo, Shahar

Source: Linear Algebra and its Applications. 404:27-57

Subject Terms: pole cancellation, Numerical Analysis, Smith–McMillan forms, \(J\)-inner function, Algebra and Number Theory, Pole cancellation, reproducing kernel, J-lossless conjugators, stability, Moment problems and interpolation problems in the complex plane, Applications of operator theory in systems, signals, circuits, and control theory, Reproducing kernels, 01 natural sciences, Riccati equation, Smith-McMillan form, Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral), Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators, Discrete Mathematics and Combinatorics, linear system, Geometry and Topology, 0101 mathematics, Stability, Riccati equations, J-inner matrix valued functions, Eigenvalue problems

File Description: application/xml

Access URL: https://zbmath.org/2189371
https://doi.org/10.1016/j.laa.2005.02.014

OPUC on one foot

Authors: Simon, Barry

Source: Bulletin of the American Mathematical Society. 42:431-460

Subject Terms: Baxter's theorem, Trigonometric moment problems in one variable harmonic analysis, Szegő's recurrences, Orthogonal polynomials, 42C05, 30E05, 42A70, Moment problems and interpolation problems in the complex plane, CMV matrices, 01 natural sciences, Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.), Mathematics - Spectral Theory, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Szego's theorem, 0101 mathematics, Verblunsky coefficients, Spectral Theory (math.SP)

File Description: application/xml

Access URL: https://www.ams.org/bull/2005-42-04/S0273-0979-05-01075-X/S0273-0979-05-01075-X.pdf
http://arxiv.org/abs/math/0502485
https://authors.library.caltech.edu/25128/
https://www.ams.org/bull/2005-42-04/S0273-0979-05-01075-X/S0273-0979-05-01075-X.pdf
https://www.ma.utexas.edu/mp_arc/c/05/05-78.pdf
https://www.ams.org/journals/bull/2005-42-04/S0273-0979-05-01075-X/home.html

Zero sets and interpolating sets in Fock spaces

Authors: James Tung

Source: Proceedings of the American Mathematical Society. 134:259-263

Subject Terms: zero sets, interpolating sequences, Banach spaces of continuous, differentiable or analytic functions, 0101 mathematics, Moment problems and interpolation problems in the complex plane, 01 natural sciences, entire functions

File Description: application/xml

Access URL: https://www.ams.org/proc/2006-134-01/S0002-9939-05-07988-8/S0002-9939-05-07988-8.pdf
http://www.ams.org/proc/2006-134-01/S0002-9939-05-07988-8/S0002-9939-05-07988-8.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=1396946
https://www.ams.org/journals/proc/2006-134-01/S0002-9939-05-07988-8/home.html

Density of Eigenvalues of Random Normal Matrices: Density of eigenvalues of random normal matrices

Authors: Elbau, Peter, Felder, Giovanni

Source: Communications in Mathematical Physics. 259:433-450

Subject Terms: Random matrices (algebraic aspects), Asymptotic distribution theory in statistics, 15A52 (primary), Mathematics - Quantum Algebra, Probability (math.PR), 0103 physical sciences, FOS: Mathematics, Quantum Algebra (math.QA), 0101 mathematics, Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics, Moment problems and interpolation problems in the complex plane, 01 natural sciences, Mathematics - Probability

File Description: application/xml

Access URL: https://www.research-collection.ethz.ch/bitstream/20.500.11850/31810/2/220_2005_Article_1372.pdf
http://arxiv.org/abs/math/0406604
https://zbmath.org/2237064
https://doi.org/10.1007/s00220-005-1372-z
https://arxiv.org/pdf/math/0406604v2
https://arxiv.org/abs/math/0406604
https://link.springer.com/article/10.1007/s00220-005-1372-z
https://link.springer.com/10.1007/s00220-005-1372-z
http://ui.adsabs.harvard.edu/abs/2005CMaPh.259..433E/abstract
https://core.ac.uk/display/2578346
http://doc.rero.ch/record/319011/files/220_2005_Article_1372.pdf