Search Results - Moment problems AND interpolation problems in the complex plane

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

Modified Moment Problem in Complex Domains: Modified moment problem in complex domains

Authors: G. I. Andriyanov

Source: Mathematical Notes. 72:742-751

Subject Terms: Abel-Goncharov problem, completeness, moment problem, 0102 computer and information sciences, 0101 mathematics, Moment problems and interpolation problems in the complex plane, 01 natural sciences

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Access URL: https://link.springer.com/article/10.1023%2FA%3A1021425526383

The Sylvester-Ramanujan System of Equations and The Complex Power Moment Problem: The Sylvester-Ramanujan system of equations and the complex power moment problem

Authors: Yuri I. Lyubich

Source: The Ramanujan Journal. 8:23-45

Subject Terms: moment problem, quadrature formulas, 0101 mathematics, Moment problems and interpolation problems in the complex plane, 01 natural sciences

File Description: application/xml

Access URL: https://link.springer.com/article/10.1023/B%3ARAMA.0000027196.19661.b7

The Nevanlinna–Pick interpolation problems and power moment problems for matrix-valued functions III: The infinitely many data case: The Nevanlinna-Pick interpolation problems and power moment problems for matrix-valued functions. III: The infinitely many data case

Authors: Gong-Ning Chen Yong-Jian Hu

Source: Linear Algebra and its Applications. 306:59-86

Subject Terms: linear fractional transformation, Schur algorithm, denumerable set of nodes, Moment problems and interpolation problems in the complex plane, 01 natural sciences, nonnegatively extendable, orthogonal polynomial matrices, Hamburger moment problem, Loewner-Hankel matrix relation, Discrete Mathematics and Combinatorics, Hermitian, skew-Hermitian, and related matrices, 0101 mathematics, Linear operator methods in interpolation, moment and extension problems, Nevanlinna-Pick interpolation, Numerical Analysis, Algebra and Number Theory, block Hankel vector, infinite generalized block Loewner matrix, Nevanlinna–Pick interpolation, Weyl matrix disk, matrix continued fractions, generalized Schur complement, Nevanlinna class, Generalized Schur complement, Geometry and Topology, Block Hankel vector, Nonnegatively extendable

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Access URL: https://zbmath.org/1421385
https://doi.org/10.1016/s0024-3795(99)00241-4
https://www.sciencedirect.com/science/article/pii/S0024379599002414
https://www.sciencedirect.com/science/article/abs/pii/S0024379599002414

The truncated complex $K$-moment problem: The truncated complex \(K\)-moment problem

Authors: Raúl E. Curto Lawrence A. Fialkow

Source: Transactions of the American Mathematical Society. 352:2825-2855

Subject Terms: localizing matrix, finitely atomic representing measure, truncated complex moment problem, 0211 other engineering and technologies, 02 engineering and technology, Moment problems and interpolation problems in the complex plane, 01 natural sciences, moment matrix extension, Applications of operator theory in numerical analysis, semi-algebraical sets, Moment problems, Software, source code, etc. for problems pertaining to linear algebra, Hermitian, skew-Hermitian, and related matrices, Dilations, extensions, compressions of linear operators, flat extensions of positive matrices, 0101 mathematics, Linear operator methods in interpolation, moment and extension problems

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Access URL: https://www.ams.org/tran/2000-352-06/S0002-9947-00-02472-7/S0002-9947-00-02472-7.pdf
https://zbmath.org/1449833
https://doi.org/10.1090/s0002-9947-00-02472-7
https://www.ams.org/tran/2000-352-06/S0002-9947-00-02472-7/S0002-9947-00-02472-7.pdf
https://www.ams.org/journals/tran/2000-352-06/S0002-9947-00-02472-7/

Matrix valued interpolation and truncated Hamburger moment problems

Authors: Dušan R. Georgijević

Source: Integral Equations and Operator Theory. 42:183-200

Subject Terms: Pick function, Loewner interpolation, Hamburger moment problem, moment problems, operator valued functions, 0101 mathematics, Moment problems and interpolation problems in the complex plane, tangential interpolation, 01 natural sciences, Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones)

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Access URL: https://zbmath.org/1717637
https://doi.org/10.1007/bf01275515
https://link.springer.com/article/10.1007%2FBF01275515
https://link.springer.com/10.1007/BF01275515

The Nevanlinna-Pick interpolation problems and power moment problems for matrix-valued functions

Authors: Gong-Ning Chen Xiao-Qing Li

Source: Linear Algebra and its Applications. 288:123-148

Subject Terms: Stieltjes class, Numerical Analysis, Algebra and Number Theory, power moment problem, Power moment problem, NP interpolation, Stieljes moment problem, block Hankel vector, power moment problems, Moment problems and interpolation problems in the complex plane, Stieljes class, Nevanlinna-Pick interpolation problem, 01 natural sciences, fundamental matrix inequality, Nevanlinna class, Discrete Mathematics and Combinatorics, Stieltjes moment problem, Geometry and Topology, 0101 mathematics, Block Hankel vector

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Access URL: https://zbmath.org/1331338
https://doi.org/10.1016/s0024-3795(98)10188-x
https://zbmath.org/2193347
https://www.sciencedirect.com/science/article/pii/S002437959810188X
https://www.sciencedirect.com/science/article/abs/pii/S002437959810188X

The Hausdorff Moment Problem with Complex Exponents and a Müntz‐Szasz Theorem for Distributions: The Hausdorff moment problem with complex exponents and a Müntz-Szasz theorem for distributions

Authors: Antonio J. Durán

Source: Mathematische Nachrichten. 187:79-99

Subject Terms: Moment problems, Hausdorff moment problem, distributions, interpolation problem, Müntz-Szasz theorem, 0101 mathematics, Moment problems and interpolation problems in the complex plane, 01 natural sciences, Mellin transform

File Description: application/xml

Access URL: https://zbmath.org/1068019
https://doi.org/10.1002/mana.19971870106
http://onlinelibrary.wiley.com/doi/10.1002/mana.19971870106/abstract

The general rational interpolation problem and its connection with the Nevanlinna-Pick interpolation and power moment problem

Authors: Gong-Ning Chen

Source: Linear Algebra and its Applications. 273:83-117

Subject Terms: Nevanlinna-Pick interpolation, Numerical Analysis, Algebra and Number Theory, interpolation problem, Discrete Mathematics and Combinatorics, Geometry and Topology, 0101 mathematics, Moment problems and interpolation problems in the complex plane, 01 natural sciences, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory

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Access URL: https://zbmath.org/1129382
https://doi.org/10.1016/s0024-3795(97)00346-7
https://www.sciencedirect.com/science/article/pii/S0024379597003467
https://www.sciencedirect.com/science/article/abs/pii/S0024379597003467

Multiple Nevanlinna–Pick interpolation with both interior and boundary data and its connection with the power moment problem: Multiple Nevanlinna-Pick interpolation with both interior and boundary data and its connection with the power moment problem

Authors: Gong-Ning Chen Yong-Jian Hu

Source: Linear Algebra and its Applications. 323:167-194

Subject Terms: Numerical Analysis, Hankel vector, Algebra and Number Theory, Power moment problem, Nevanlinna–Pick interpolation, Moment problems and interpolation problems in the complex plane, Nevanlinna-Pick interpolation problem, 01 natural sciences, Nevanlinna class, Discrete Mathematics and Combinatorics, Generalized Pick matrix, Geometry and Topology, 0101 mathematics, Angular derivative, Dx-minimally positive

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Access URL: https://zbmath.org/1586479
https://doi.org/10.1016/s0024-3795(00)00258-5
http://www.sciencedirect.com/science/article/pii/S0024379500002585
https://www.sciencedirect.com/science/article/pii/S0024379500002585

The Complex Moment Problem and Subnormality: A Polar Decomposition Approach: The complex moment problem and subnormality: A polar decomposition approach

Authors: Franciszek Hugon Szafraniec Jan Stochel

Source: Journal of Functional Analysis. 159:432-491

Subject Terms: positive definiteness, complex moment problem on real algebraic curves, Moment problems and interpolation problems in the complex plane, real algebraic sets, 01 natural sciences, two-dimensional real moment problem, polar decomposition, characterizations of subnormality, Moment problems, Toeplitz operators, Hankel operators, Wiener-Hopf operators, Hermitian and normal operators (spectral measures, functional calculus, etc.), positive definite extendibility, 0101 mathematics, Semialgebraic sets and related spaces, Subnormal operators, hyponormal operators, etc, Linear operator methods in interpolation, moment and extension problems, Analysis

File Description: application/xml

Access URL: https://zbmath.org/1268053
https://doi.org/10.1006/jfan.1998.3284
https://core.ac.uk/display/82149196
https://www.sciencedirect.com/science/article/pii/S0022123698932840
https://ci.nii.ac.jp/naid/30020149320
http://ci.nii.ac.jp/naid/30020149320

THE PROBLEM OF MULTIPLE INTERPOLATION IN THE HALF-PLANE IN THE CLASS OF ANALYTIC FUNCTIONS OF FINITE ORDER AND NORMAL TYPE: The problem of multiple interpolation in the half-plane in the class of analytic functions of finite order and normal type

Authors: K G Malyutin

Source: Russian Academy of Sciences. Sbornik Mathematics. 78:253-266

Subject Terms: finite order, normal type, 0103 physical sciences, Special classes of entire functions of one complex variable and growth estimates, half-plane, 0101 mathematics, Moment problems and interpolation problems in the complex plane, 01 natural sciences

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Access URL: http://stacks.iop.org/1468-4802/78/i=1/a=A16?key=crossref.6391e60a7fe7c57b6909ddaa216f16d5
http://iopscience.iop.org/article/10.1070/SM1994v078n01ABEH003468/pdf
http://iopscience.iop.org/1468-4802/78/1/A16/pdf/1468-4802_78_1_A16.pdf

On boundary-value problems for a second-order differential equation with complex coefficients in a plane domain: On boundary value problems for a second-order differential equation with complex coefficients in a plane domain

Authors: V. P. Burskii

Source: Ukrainian Mathematical Journal. 48:1647-1658

Subject Terms: Cauchy problem, Neumann problem, moment problem, General theory of PDEs and systems of PDEs with constant coefficients, 0101 mathematics, Moment problems and interpolation problems in the complex plane, 01 natural sciences, Dirichlet problem

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Access URL: https://link.springer.com/article/10.1007/BF02529486
https://link.springer.com/content/pdf/10.1007/BF02529486.pdf

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

Authors: Yuriy M. Dyukarev Bernd Fritzsche Conrad Mädler et al.

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

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

On the multiple Nevanlinna–Pick interpolation problems in some matrix-valued function classes: On the multiple Nevanlinna--Pick interpolation problems in some matrix-valued function classes

Authors: Huazhang Wu

Source: Linear Algebra and its Applications. 399:71-90

Subject Terms: Stieltjes class, Numerical Analysis, Algebra and Number Theory, Nevanlinna–Pick problem, Carathéodory-Fejér problem, Carathéodory–Fejer problem, Moment problems and interpolation problems in the complex plane, 01 natural sciences, Moment problem, Nevanlinna class, Toeplitz block-vector, Hankel block-vector, Discrete Mathematics and Combinatorics, moment problem, Geometry and Topology, 0101 mathematics, Carathéodory class, Nevanlinna-Pick problem, Linear operator methods in interpolation, moment and extension problems

File Description: application/xml

Access URL: https://core.ac.uk/display/82045809
https://www.sciencedirect.com/science/article/pii/S0024379504002885
https://www.sciencedirect.com/science/article/abs/pii/S0024379504002885

On the Carath�odory?Fej�r Interpolation Problem for Generalized Schur Functions: On the Carathéodory-Fejér interpolation problem for generalized Schur functions

Authors: Vladimir Bolotnikov

Source: Integral Equations and Operator Theory. 50:9-41

Subject Terms: \(H^p\)-spaces, Nevanlinna spaces of functions in several complex variables, Pick matrix, 0101 mathematics, Moment problems and interpolation problems in the complex plane, Linear operator methods in interpolation, moment and extension problems, 01 natural sciences, Interpolation in approximation theory

File Description: application/xml

Access URL: https://zbmath.org/2113884
https://doi.org/10.1007/s00020-003-1220-5
https://link.springer.com/article/10.1007/s00020-003-1220-5
https://link.springer.com/10.1007%2Fs00020-003-1220-5

On the polynomial moment problem

Authors: Fedor Pakovich

Source: Mathematical Research Letters. 10:401-410

Subject Terms: functional equations, polynomial Abel equation, Qualitative theory for ordinary differential equations, Laplace transform, polynomials, Mathematics - Complex Variables, Research exposition (monographs, survey articles) pertaining to functions of a complex variable, compositions, Dynamical Systems (math.DS), Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable, 30E99, 34C99, Moment problems and interpolation problems in the complex plane, Poincaré center-focus problem, 01 natural sciences, Polynomials and rational functions of one complex variable, FOS: Mathematics, moments, Mathematics - Dynamical Systems, Complex Variables (math.CV), 0101 mathematics

File Description: application/xml

Access URL: http://www.intlpress.com/site/pub/files/_fulltext/journals/mrl/2003/0010/0003/MRL-2003-0010-0003-a009.pdf
http://arxiv.org/abs/math/0205134
https://zbmath.org/2064167
https://doi.org/10.4310/mrl.2003.v10.n3.a9
https://www.intlpress.com/site/pub/files/_fulltext/journals/mrl/2003/0010/0003/MRL-2003-0010-0003-a009.pdf
http://ui.adsabs.harvard.edu/abs/2002math......5134P/abstract
https://dialnet.unirioja.es/servlet/articulo?codigo=643941
https://www.math.bgu.ac.il/~pakovich/Publications/opmp.pdf
https://www.intlpress.com/site/pub/pages/journals/items/mrl/content/vols/0010/0003/a009/

A unified treatment for the matrix Stieltjes moment problem: A unified treatment for the matrix Stieltjes moment problem.

Authors: Yong-Jian Hu Gong-Ning Chen

Source: Linear Algebra and its Applications. 380:227-239

Subject Terms: Numerical Analysis, Algebra and Number Theory, Block Hankel matrix, truncated Stieltjes moment problem, Moment problems and interpolation problems in the complex plane, 01 natural sciences, resolvent matrix, Moment problems, step-by-step process, Stieltjes function, Discrete Mathematics and Combinatorics, Stieltjes moment problem, Geometry and Topology, 0101 mathematics, Linear operator methods in interpolation, moment and extension problems, Nevanlinna function, block Hankel matrix

File Description: application/xml

Access URL: https://zbmath.org/2062869
https://doi.org/10.1016/j.laa.2003.10.012
https://www.sciencedirect.com/science/article/pii/S0024379503008188
https://core.ac.uk/display/82071991

A Unified Treatment for the Matrix Stieltjes Moment Problem in Both Nondegenerate and Degenerate Cases: A unified treatment for the matrix Stieltjes moment problem in both nondegenerate and degenerate cases

Authors: Hu Yong-Jian Chen Gong-Ning

Source: Journal of Mathematical Analysis and Applications. 254:23-34

Subject Terms: Moment problems, Applied Mathematics, matrix Stieltjes moment problem, 0101 mathematics, Moment problems and interpolation problems in the complex plane, truncated Hamburger matrix moment problem, Nevanlinna-Pick interpolation problem, 01 natural sciences, Analysis

File Description: application/xml

Access URL: https://zbmath.org/1580123
https://doi.org/10.1006/jmaa.2000.7195
https://core.ac.uk/display/82198734
https://www.sciencedirect.com/science/article/abs/pii/S0022247X00971956
https://www.sciencedirect.com/science/article/pii/S0022247X00971956