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

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

Autoren: Ikonomov, N. R. Suetin, S. P.

Quelle: Transactions of the Moscow Mathematical Society. 83:33-54

Schlagwörter: Mathematics - Complex Variables, 30E10, 41A21, multivalued analytic function, 01 natural sciences, Riemann surfaces, Riemann surface, Hermite-Padé polynomials, 0103 physical sciences, FOS: Mathematics, Nuttall partition, 0101 mathematics, Complex Variables (math.CV), Padé approximation, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2103.04703
https://zbmath.org/7937519
https://doi.org/10.1090/mosc/344

Ladder operators for generalized Zernike or disk polynomials

Autoren: Misael E. Marriaga

Quelle: BURJC-Digital. Repositorio Institucional de la Universidad Rey Juan Carlos
Universidad Rey Juan Carlos

Schlagwörter: Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), disk polynomials, ladder operators, Orthogonal polynomials, Mathematics - Classical Analysis and ODEs, Ladder operators, Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Disk polynomials, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, orthogonal polynomials, 42C05, 33C50, 33C45

Dateibeschreibung: application/pdf; application/xml

Zugangs-URL: http://arxiv.org/abs/2405.02988
https://hdl.handle.net/10115/85697
https://zbmath.org/8037496
https://doi.org/10.1007/s40590-025-00748-2

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

Autoren: Riahi, Anis Rhaima, Mohamed Ghoudi, Hamza

Quelle: Complex Analysis and Operator Theory. 19

Schlagwörter: Probabilistic potential theory, degenerate falling operators, Appell polynomials, Real polynomials: analytic properties, etc, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, Mittag-Leffler functions and generalizations, degenerate Poisson measure, Polynomials in number theory

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/8033590
https://doi.org/10.1007/s11785-025-01673-y

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

Autoren: Cruz Barroso, Ruymán Fernández Rodríguez, Lidia

Quelle: Digibug. Repositorio Institucional de la Universidad de Granada
Universidad de Granada (UGR)

Schlagwörter: orthogonal Laurent polynomials of two real variables, recurrence relations, balanced ordering, Favard's theorem, FOS: Mathematics, Christoffel–Darboux and confluent formula, Christoffel-Darboux and confluent formula, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, 33C45, 42C05

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2404.14303
https://hdl.handle.net/10481/97136

On the orthonormal Franklin system

Autoren: Nemeth, Jozsef

Quelle: Publicationes Mathematicae Debrecen. 19:181-185

Schlagwörter: Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.), Best approximation, Chebyshev systems, Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Convergence and absolute convergence of Fourier and trigonometric series, 0101 mathematics, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/3419698

Eine Bemerkung über das Maximum von Summen orthogonaler Funktionen

Autoren: Tandori, Karoly

Quelle: Publicationes Mathematicae Debrecen. 20:89-92

Schlagwörter: 0101 mathematics, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/3432885

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

Autoren: Singh, Tikam

Quelle: Publicationes Mathematicae Debrecen. 24:53-57

Schlagwörter: Approximation by polynomials, Cesàro, Euler, Nörlund and Hausdorff methods, 0101 mathematics, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/3584327

Über die de la Vallée-Poussinschen Mittel allgemeiner Orthogonalreihen

Autoren: Leindler, László

Quelle: Publicationes Mathematicae Debrecen. 10:274-282

Schlagwörter: approximation and series summability, 0101 mathematics, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/3210198

Über die Charakterisierung orthogonaler Systeme von Haarschem Typ

Autoren: Mikolas, M.

Quelle: Publicationes Mathematicae Debrecen. 19:239-248

Schlagwörter: 0101 mathematics, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/3445810

On the Lebesgue function on infinite interval. I

Autoren: Eneduanya, S. A. N.

Quelle: Publicationes Mathematicae Debrecen. 31:235-241

Schlagwörter: orthonormal polynomial, orthonormal Hermite polynomials, Lebesgue functions, weight function, Christoffel functions, Lagrange interpolation, 0101 mathematics, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, 01 natural sciences, Interpolation in approximation theory, Laguere polynomials

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/3905184
https://zbmath.org/4063755

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

Autoren: Bono Parisi, Ignacio Pacharoni, Ines

Schlagwörter: matrix-valued orthogonal polynomials, Algebraic systems of matrices, Connections of hypergeometric functions with groups and algebras, and related topics, Mathematics - Rings and Algebras, matrix Bochner problem, discrete-continuous bispectrality, Matrix exponential and similar functions of matrices, Darboux transformations, matrix-valued bispectral functions, Mathematics - Classical Analysis and ODEs, Rings and Algebras (math.RA), 33C45, 42C05, 34L05, 34L10, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2403.03873

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

Autoren: Marriaga, Misael E. Pérez Fernández, Teresa Encarnación Recarte, Marlon J.

Quelle: 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

Schlagwörter: 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

Dateibeschreibung: application/pdf; application/xml

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

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

Autoren: Bono Parisi, Ignacio Pacharoni, Ines

Schlagwörter: 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

Dateibeschreibung: application/xml

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

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

Autoren: Yu. M. Dyukarev

Quelle: Sbornik: Mathematics. 209:1745-1755

Schlagwörter: 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)

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/7025724
https://doi.org/10.1070/sm9004
http://ui.adsabs.harvard.edu/abs/2018SbMat.209.1745D/abstract

Symmetric contours and convergent interpolation

Autoren: Yattselev, Maxim L. Mathematical Sciences, School of Science

Weitere Verfasser: Yattselev, Maxim L. Mathematical Sciences, School of Science

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

Schlagwörter: 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

Dateibeschreibung: application/xml; application/pdf

Zugangs-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

Matrix orthogonal polynomials associated with perturbations of block Toeplitz matrices

Autoren: L. E. Garza Gaona A. E. Choque-Rivero

Quelle: Russian Mathematics. 61:57-69

Schlagwörter: 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

Dateibeschreibung: application/xml

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

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

Autoren: Dym H Kimsey DP

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-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

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

Autoren: E. A. Rakhmanov Andrei Martínez-Finkelshtein

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-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

Orthogonal polynomials of equilibrium measures supported on Cantor sets

Autoren: MANTICA, GIORGIO DOMENICO PIO

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-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

Orthogonality of analytic polynomials: a little step further

Autoren: Szafraniec, Franciszek

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-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