Time and band limiting for matrix valued functions: an integral and a commuting differential operator

DOI10.1088/1361-6420/aa53b8zbMath1367.47078arXiv1604.06510OpenAlexW2964118403MaRDI QIDQ2965687

Inés Pacharoni, Ignacio Nahuel Zurrián, F. Alberto Gruenbaum

Publication date: 3 March 2017

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.06510

zbMATH Keywords

matrix valued orthogonal polynomialstime-band limitingdouble concentration

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) General theory of ordinary differential operators (47E05) Integral operators (47G10) Other special orthogonal polynomials and functions (33C47) Miscellaneous applications of operator theory (47N99)

Related Items (7)

Algebraic Heun operator and band-time limiting ⋮ Time-and-band limiting for matrix orthogonal polynomials of Jacobi type ⋮ Matrix bispectrality and noncommutative algebras: beyond the prolate spheroidals ⋮ Time and band limiting for exceptional polynomials ⋮ Commuting integral and differential operators and the master symmetries of the Korteweg–de Vries equation ⋮ \(2 \times 2\) hypergeometric operators with diagonal eigenvalues ⋮ Structural formulas for matrix-valued orthogonal polynomials related to \(2\times 2\) hypergeometric operators

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