Keywords: primary; 26A45; secondary; 30L99; 30E05; BV function; Trace; Discrete convolution; Capacitary inequality;
مقالات ISI (ترجمه نشده)
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Keywords: 93B15; 30E05; 37M99; 93C05; 93A15; Structured realization; Data-driven model reduction; Interpolation; Delay system; Second-order system; Moment matching;
Keywords: 94A20; 30E05; 41A65; Shannon sampling series; Reconstruction process; Strong divergence; Spaceability; Paley-Wiener space; Valiron sampling series;
Keywords: 54H13; 54E15; 13A18; 13J10; 30E05; Chinese remainder theorem; Hyperspace uniformity; Interpolation; Supercomplete spaces; Topological ring;
Keywords: 30E05; 47A57Trigonometric matrix moment problem; Orthogonal matrix polynomial; Maximal weight; N-extremal solution; Moment problem for rational matrix-valued functions
Keywords: 30D15; 30E05; 42C05; 44A60; Rational moment problems; Orthogonal rational functions; Nevanlinna parametrization; Riesz type criterion; Growth estimates;
Keywords: 30E05; 47A56; Interpolation; Positive definite kernel; Nevanlinna-Pick problem; Corona problem; Carathéodory-Fejér problem;
Keywords: 60F05; 15A52; 30E05; Moment spaces; Random matrices; Matrix measures; Random moments; Gaussian ensemble; Laguerre ensemble; Wigner's semicircle law; Marchenko-Pastur law;
Keywords: 46E15; 30E05; 30E10Approximation; Divergence; Banach spaces; Spaceability; Lineability; Banach–Steinhaus theorem
Algebraic and geometric aspects of rational Î-inner functions
Keywords: 32F45; 30E05; 93B36; 93B50; Symmetrized bidisc; Inner function; Convexity; Extreme point; Distinguished boundary;
On the truncated matricial Stieltjes moment problem M[[α,â);(sj)j=0m,â¤]
Keywords: 44A60; 47A57; 30E05; Stieltjes moment problem; Schur type algorithm; Stieltjes pairs;
Hyponormality of block Toeplitz operators on the weighted Bergman spaces
Keywords: block Toeplitz operators; hyponormal; weighted Bergman space; 47B20; 47B35; 42B30; 32A35; 30E05;
A note on Wall's modification of the Schur algorithm and linear pencils of Jacobi matrices
Keywords: primary; 47A57; 47B36; secondary; 30E05; 30B70; 42C05; The Schur algorithm; Jacobi matrix; Linear pencil; Interpolation problem; Continued fraction; Nevanlinna function; Orthogonal polynomials; Orthogonal rational functions;
A rich structure related to the construction of analytic matrix functions
Keywords: 90C22; 30E05; 93D21; 93B50; 47N10; 47N70; Reproducing kernels; Spectral Nevanlinna-Pick; Symmetrised bidisc; Tetrablock;
A multivariate generalization of Prony's method
Keywords: 65T40; 42C15; 30E05; 65F30Frequency analysis; Spectral analysis; Exponential sum; Moment problem; Super-resolution
Nevanlinna representations in several variables
Keywords: 32A30; 30E20; 30E05; 47B25; 47A10; Pick class; Cauchy transform; Self-adjoint operator; Resolvent;
On a linear interpolation problem for nn-dimensional vector polynomials
Keywords: 30E05; 41A05Linear interpolation; Spaces of vector polynomials
A reformulation of augmented basic interpolation problem and an application to H∞H∞ control
Keywords: 30E05; 41A05; 49N05; 49N35; 15A18Rational interpolation; aBIP; H∞H∞ optimal control; Generalized eigenvectors
On maximum mass measures in truncated matricial Hamburger moment problems and related interpolation problems
Keywords: 30E05; 47A57; Matricial Hamburger moment problem; Orthogonal matrix polynomial; Nevanlinna-Pick type interpolation; Stieltjes transform; Block Hankel vector approach;
Sampling, interpolation and Riesz bases in small Fock spaces
Keywords: primary; 30H05; secondary; 30D10; 30E05; Sampling; Interpolation; Riesz bases; Small Fock spaces; de Branges spaces; Bari's Theorem;
On the Weyl matrix balls associated with J-Potapov sequences in both nondegenerate and degenerate cases
Keywords: Primary: 47A57; 30E05; Secondary: 47A56; J-Potapov functions; J-Potapov sequences; Weyl matrix balls; Central J-Potapov functions;
Nevanlinna-Pick interpolation by rational functions with a single pole inside the unit disk
Keywords: 65E05; 30E05; Norm-constrained interpolation; Hermite polynomial;
The spiral of Theodorus, numerical analysis, and special functions
Keywords: 01A20; 30E05; 33C47 51-03; 65B10; 65D30; 65D32Spiral of Theodorus; Slowly convergent series; Gaussian quadrature; Bose–Einstein distribution
On a class of extremal solutions of a moment problem for rational matrix-valued functions in the nondegenerate case II
Keywords: 30E05; 42C05; 44A60; 47A56Nonnegative Hermitian matrix measures; Matrix moment problem; Orthogonal rational matrix functions; Szegő parameters; Matricial Carathéodory functions
The composition conjecture for Abel equation
Keywords: 34C25; 34C07; 30C10; 30D05; 30E05; 37G15Abel differential equation; Two-dimensional polynomial systems; Periodic solutions; Center conditions; Composition conjecture; Moments
On constructing new interpolation formulas using linear operators and an operator type of quadrature rules
Keywords: 47A57; 65D05; 30E05; 41A55; 65D30Mixed Taylor–Lagrange and mixed Taylor–Hermite interpolations; Mixed Taylor interpolation; Linear operators; Incomplete special functions; Quadrature rules
On the multiple Nevanlinna-Pick interpolation problems in some matrix-valued function classes
Keywords: 30E05; 47A57; Nevanlinna-Pick problem; Nevanlinna class; Stieltjes class; Carathéodory class; Moment problem; Carathéodory-Fejer problem; Hankel block-vector; Toeplitz block-vector;
Zero cancellation
Keywords: 30C15; 30E05; 47A68; 93B55; 93D99; Pole cancellation; Zero cancellation; J-lossless conjugators; J-inner matrix valued functions; Riccati equations; Smith-McMillan forms; Stability;
Pole cancellation
Keywords: 30C15; 30E05; 47A68; 93B55; 93D99; Pole cancellation; J-lossless conjugators; J-inner matrix valued functions; Riccati equations; Reproducing kernels; Smith-McMillan forms; Stability;
On Hilbert modules of rational matrix-valued functions and related inverse problems
Keywords: 47A56; 30E05; Nonnegative Hermitian Borel measures on the unit circle; Rational moment problem; Reproducing kernels; Orthogonal rational matrix-valued functions;
Orthogonal rational functions on the real half line with poles in [-â,0]
Keywords: 42C05; 65D32; 30B70; 30E05; Orthogonal rational functions; Rational Stieltjes problem; Quadrature formulas;
Generalizations of orthogonal polynomials
Keywords: 42C10; 33D45; 41A; 30E05; 65D30; 46E35; Orthogonal polynomials; Rational approximation; Linear algebra;