Discrete Time-Band Limiting Operators and Commuting Tridiagonal Matrices

DOI10.1137/0608016zbMath0616.33010OpenAlexW1998588944MaRDI QIDQ4724930

Ronald Keith Perline

Publication date: 1987

Published in: SIAM Journal on Algebraic Discrete Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0608016

zbMATH Keywords

commuting tridiagonal matricesTime-band limiting operators

Mathematics Subject Classification ID

Other special functions (33E99)

Related Items (9)

Entanglement of free fermions on Hadamard graphs ⋮ Algebraic Heun operator and band-time limiting ⋮ Diagonalization of the Heun-Askey-Wilson operator, Leonard pairs and the algebraic Bethe ansatz ⋮ Matrix bispectrality and noncommutative algebras: beyond the prolate spheroidals ⋮ Integral operators, bispectrality and growth of Fourier algebras ⋮ Time and band limiting for exceptional polynomials ⋮ Free-Fermion entanglement and orthogonal polynomials ⋮ Signal Processing, Orthogonal Polynomials, and Heun Equations ⋮ Entanglement in fermionic chains and bispectrality

Cites Work

• Unnamed Item
• A new property of reproducing kernels for classical orthogonal polynomials
• A Property of Orthogonal Polynomial Families with Polynomial Duals
• A Set of Orthogonal Polynomials That Generalize the Racah Coefficients or $6 - j$ Symbols
• Orthogonal Polynomials, Duality and Association Schemes
• 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

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