A new property of reproducing kernels for classical orthogonal polynomials

DOI10.1016/0022-247X(83)90123-3zbMath0562.33008MaRDI QIDQ2266800

F. Alberto Gruenbaum

Publication date: 1983

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

reproducing kernel

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

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Algebraic Heun operator and band-time limiting ⋮ The Darboux process and a noncommutative bispectral problem: some explorations and challenges ⋮ Time-band limiting matrices and lamé's equation ⋮ The Darboux process and time-and-band limiting for matrix orthogonal polynomials ⋮ Connection coefficients for ultraspherical polynomials with argument doubling and generalized bispectrality ⋮ Time-and-band limiting for matrix orthogonal polynomials of Jacobi type ⋮ Matrix valued discrete-continuous functions with the prolate spheroidal property and bispectrality ⋮ Time and band limiting for exceptional polynomials ⋮ Differential equations in the spectral parameter for matrix differential operators ⋮ Free-Fermion entanglement and orthogonal polynomials ⋮ Restricted polynomial expansions and approximation ⋮ Some examples of matrix-valued orthogonal functions having a differential and an integral operator as eigenfunctions ⋮ A survey on orthogonal matrix polynomials satisfying second order differential equations ⋮ Differential equations in the spectral parameter ⋮ Discrete Time-Band Limiting Operators and Commuting Tridiagonal Matrices ⋮ Chopped Orthogonal Polynomial Expansions—Some Discrete Cases ⋮ Some nonlinear evolution equations and related topics arising in medical imaging

Cites Work

• Orthogonale Polynomsysteme als Lösungen Sturm-Liouvillescher Differenzengleichungen
• A remark on Hilber's matrix
• Differential Operators Commuting with Finite Convolution Integral Operators: Some Nonabelian Examples
• Prolate Spheroidal Wave Functions, Fourier Analysis, and Uncertainty-V: The Discrete Case
• Chopped Orthogonal Polynomial Expansions—Some Discrete Cases
• Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - I
• Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - II
• Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty-III: The Dimension of the Space of Essentially Time- and Band-Limited Signals
• Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - IV: Extensions to Many Dimensions; Generalized Prolate Spheroidal Functions
• A New Class of Orthogonal Polynomials: The Bessel Polynomials
• Unnamed Item

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