Invertibility of a tridiagonal operator with an application to a non-uniform sampling problem

DOI10.1080/03081087.2016.1217978OpenAlexW2512170158MaRDI QIDQ2979477

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Publication date: 25 April 2017

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2016.1217978

zbMATH Keywords

shift-invariant spaceLU-decompositiondiagonal dominancetridiagonal operatorstable set of samplingfinite-dimensional truncation

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Sampling theory in information and communication theory (94A20)

Related Items (2)

On the existence of solutions for the Frenkel-Kontorova models on quasi-crystals ⋮ Solution of an infinite band matrix equation

Cites Work

• Solution of a tridiagonal operator equation
• Spectral and structural analysis of high precision finite difference matrices for elliptic operators
• Beurling-Landau-type theorems for non-uniform sampling in shift invariant spline spaces
• Frames and bases. An introductory course
• Nonuniform Sampling and Reconstruction in Shift-Invariant Spaces
• Spectral Analysis and Spectral Symbol of $d$-variate $\mathbb Q_{\boldsymbol p}$ Lagrangian FEM Stiffness Matrices

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