Search Results - "Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis"

Source: Digibug. Repositorio Institucional de la Universidad de Granada
Universidad de Granada (UGR)
BURJC-Digital. Repositorio Institucional de la Universidad Rey Juan Carlos
Universidad Rey Juan Carlos

Subject Terms: approximation on the ball, Fourier expansions, 0101 mathematics, Sobolev spaces and other spaces of ''smooth' functions, embedding theorems, trace theorems, inner product via Laplacians, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, 01 natural sciences, Approximation on the ball, Inner product via Laplacians

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Access URL: https://hdl.handle.net/10115/85637
https://hdl.handle.net/10481/85368

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13

Academic Journal

Darboux transformations and the algebra $\mathcal{D}(W)$: Darboux transformations and the algebra $\mathcal{D}(W)$

Authors: Bono Parisi, Ignacio, Pacharoni, Ines

Subject Terms: matrix-valued orthogonal polynomials, Mathematics - Operator Algebras, General theory of ordinary differential operators, Connections of hypergeometric functions with groups and algebras, and related topics, matrix Bochner problem, General spectral theory of ordinary differential operators, Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators, discrete-continuous bispectrality, Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Matrix exponential and similar functions of matrices, Darboux transformations, matrix-valued bispectral functions, Mathematics - Classical Analysis and ODEs, 33C45, 42C05, 34L05, 34L10, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Operator Algebras (math.OA), Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis

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Access URL: http://arxiv.org/abs/2311.16325
https://zbmath.org/7990854
https://doi.org/10.1016/j.laa.2025.01.002

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14

Academic Journal

The zeros of determinants of matrix-valued polynomials that are orthonormal on a semi-infinite or finite interval

Authors: Yu. M. Dyukarev

Source: Sbornik: Mathematics. 209:1745-1755

Subject Terms: orthogonal matrix-valued polynomials, nonnegative matrix-valued measure, matrix moment problem, (Semi-) Fredholm operators, index theories, zeros of determinants of orthogonal matrix-valued polynomials, 0101 mathematics, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, 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/7025724
https://doi.org/10.1070/sm9004
http://ui.adsabs.harvard.edu/abs/2018SbMat.209.1745D/abstract

15

Academic Journal

Symmetric contours and convergent interpolation

Authors: Yattselev, Maxim L.

Contributors: Mathematical Sciences, School of Science

Source: Journal of Approximation Theory. 225:76-105

Subject Terms: strong asymptotics, non-Hermitian orthogonality, 16. Peace & justice, 01 natural sciences, multipoint Padé approximation, Approximation by rational functions, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, matrix Riemann-Hilbert approach, S-contours, 0101 mathematics, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, Padé approximation, orthogonal polynomials

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Access URL: http://arxiv.org/abs/1706.02811
https://dblp.uni-trier.de/db/journals/jat/jat225.html#Yattselev18
https://core.ac.uk/display/141923282
https://www.sciencedirect.com/science/article/pii/S0021904517301235
https://www.sciencedirect.com/science/article/pii/S0021904517301235#!
https://doi.org/10.1016/j.jat.2017.10.003

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16

Academic Journal

Matrix orthogonal polynomials associated with perturbations of block Toeplitz matrices

Authors: L. E. Garza Gaona, A. E. Choque-Rivero

Source: Russian Mathematics. 61:57-69

Subject Terms: Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Toeplitz, Cauchy, and related matrices, Matrices over function rings in one or more variables, Toeplitz matrices, moment problem, unit circle, 0101 mathematics, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, matrix orthogonal polynomials, 01 natural sciences

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Access URL: https://zbmath.org/6845964
https://doi.org/10.3103/s1066369x17120076
https://link.springer.com/article/10.3103/S1066369X17120076

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17

Academic Journal

CMV matrices, a matrix version of Baxter's theorem, scattering and de Branges spaces

Authors: Dym H, Kimsey DP

Source: EMS Surveys in Mathematical Sciences. 3:1-105

Subject Terms: Baxter's theorem, Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces), de Branges spaces, Jacobi (tridiagonal) operators (matrices) and generalizations, matrix orthogonal polynomials, Nehari problem, 01 natural sciences, reproducing kernel Hilbert spaces, Schur parameters CMV matrices, Toeplitz operators, Hankel operators, Wiener-Hopf operators, Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces), 0101 mathematics, scattering matrices, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, Linear operator methods in interpolation, moment and extension problems

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Access URL: https://www.ems-ph.org/journals/show_pdf.php?issn=2308-2151&vol=3&iss=1&rank=1
https://eprints.ncl.ac.uk/223788
http://www.ems-ph.org/journals/show_abstract.php?issn=2308-2151&vol=3&iss=1&rank=1
https://www.ncl.ac.uk/library/linkit/?sv=e&d=223788
https://eprint.ncl.ac.uk/223788
http://www.ems-ph.org/doi/10.4171/EMSS/14

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18

Academic Journal

Do Orthogonal Polynomials Dream of Symmetric Curves?: Do orthogonal polynomials dream of symmetric curves?

Authors: E. A. Rakhmanov, Andrei Martínez-Finkelshtein

Source: Foundations of Computational Mathematics. 16:1697-1736

Subject Terms: non-Hermitian orthogonality, Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions, quadratic differentials, 16. Peace & justice, 42C05, 26C10, 30C25, 31A15, 41A21, 01 natural sciences, Real polynomials: location of zeros, extremal problems, logarithmic potential theory, zero asymptotics, Mathematics - Classical Analysis and ODEs, equilibrium on the complex plane, critical measures, $S$-property, Classical Analysis and ODEs (math.CA), FOS: Mathematics, 0101 mathematics, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, Padé approximation, Covering theorems in conformal mapping theory

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Access URL: http://arxiv.org/pdf/1511.09175
http://arxiv.org/abs/1511.09175
https://zbmath.org/6679684
https://doi.org/10.1007/s10208-016-9313-0
https://dl.acm.org/doi/abs/10.1007/s10208-016-9313-0
http://ui.adsabs.harvard.edu/abs/2015arXiv151109175M/abstract
https://dblp.uni-trier.de/db/journals/focm/focm16.html#Martinez-Finkelshtein16
https://core.ac.uk/display/42659550
https://doi.org/10.1007/s10208-016-9313-0
https://link.springer.com/article/10.1007/s10208-016-9313-0

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19

Academic Journal

Orthogonal polynomials of equilibrium measures supported on Cantor sets

Authors: MANTICA, GIORGIO DOMENICO PIO

Source: Journal of Computational and Applied Mathematics. 290:239-258

Subject Terms: Jacobi (tridiagonal) operators (matrices) and generalizations, Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions, iterated function systems, FOS: Physical sciences, 42C05 (Primary) 31A15, 47B36, 81Q10, 30C30 (Secondary), 01 natural sciences, potential theory, FOS: Mathematics, Mathematics - Numerical Analysis, Complex Variables (math.CV), 0101 mathematics, Almost periodic Jacobi matrices, Conformal mapping, Equilibrium measure, Iterated Function systems, Orthogonal polynomials, Potential theory, Computational Mathematics, Applied Mathematics, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, orthogonal polynomials, Mathematical Physics, Selfadjoint operator theory in quantum theory, including spectral analysis, 2. Zero hunger, Quantum Physics, conformal mapping, Mathematics - Complex Variables, Numerical Analysis (math.NA), Mathematical Physics (math-ph), Schwarz-Christoffel-type mappings, almost periodic Jacobi matrices, Quantum Physics (quant-ph), equilibrium measure

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Access URL: http://arxiv.org/abs/1311.4819
https://zbmath.org/6473779
https://doi.org/10.1016/j.cam.2015.05.014
https://arxiv.org/abs/1311.4819
http://ui.adsabs.harvard.edu/abs/2013arXiv1311.4819M/abstract
https://core.ac.uk/display/53563512
https://dialnet.unirioja.es/servlet/articulo?codigo=5282553
https://arxiv.org/pdf/1311.4819v1
https://dblp.uni-trier.de/db/journals/jcam/jcam290.html#Mantica15

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20

Academic Journal

Orthogonality of analytic polynomials: a little step further

Authors: Szafraniec, Franciszek

Source: Journal of Computational and Applied Mathematics. 179:343-353

Subject Terms: Complex moment problem, subnormal operator, Positive definiteness, positive definiteness, Applied Mathematics, Recurrence relation, Subnormal operator, 01 natural sciences, Special classes of linear operators, Computational Mathematics, Hessenberg matrix, analytic polynomials, recurrence relation, complex moment problem, 0101 mathematics, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, Linear operator methods in interpolation, moment and extension problems, Analytic polynomials

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Access URL: https://zbmath.org/2173204
https://doi.org/10.1016/j.cam.2004.09.049
https://www.sciencedirect.com/science/article/abs/pii/S0377042704004583
https://www.sciencedirect.com/science/article/pii/S0377042704004583
https://core.ac.uk/display/82670422
http://ui.adsabs.harvard.edu/abs/2005JCoAM.179..343S/abstract
https://ruj.uj.edu.pl/xmlui/handle/item/82925

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Structure of the Nuttall partition for some class of four-sheeted Riemann surfaces

Ladder operators for generalized Zernike or disk polynomials

Falling Operators with Their Connections with the Degenerate Poisson Appell Polynomials: Falling operators with their connections with the degenerate Poisson Appell polynomials

Orthogonal Laurent Polynomials of Two Real Variables: Orthogonal Laurent polynomials of two real variables

On the orthonormal Franklin system

Eine Bemerkung über das Maximum von Summen orthogonaler Funktionen

Degree of approximation by harmonic means of Fourier--Laguerre expansions: Degree of approximation by harmonic means of Fourier-Laguerre expansions

Über die de la Vallée-Poussinschen Mittel allgemeiner Orthogonalreihen

Über die Charakterisierung orthogonaler Systeme von Haarschem Typ

On the Lebesgue function on infinite interval. I

The algebra $\mathcal{D}(W)$ via strong Darboux transformations: The algebra \(\mathcal{D}(W)\) via strong Darboux transformations

Simultaneous Approximation via Laplacians on the Unit Ball: Simultaneous approximation via Laplacians on the unit ball

Darboux transformations and the algebra $\mathcal{D}(W)$: Darboux transformations and the algebra \(\mathcal{D}(W)\)

The zeros of determinants of matrix-valued polynomials that are orthonormal on a semi-infinite or finite interval

Symmetric contours and convergent interpolation

Matrix orthogonal polynomials associated with perturbations of block Toeplitz matrices

CMV matrices, a matrix version of Baxter's theorem, scattering and de Branges spaces

Do Orthogonal Polynomials Dream of Symmetric Curves?: Do orthogonal polynomials dream of symmetric curves?

Orthogonal polynomials of equilibrium measures supported on Cantor sets

Orthogonality of analytic polynomials: a little step further

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