The \(m\)th difference operator applied to \(L^{2}\) functions on a finite interval

DOI10.1016/S0024-3795(02)00470-6zbMath1029.39020MaRDI QIDQ1874667

Fabio Di Benedetto

Publication date: 25 May 2003

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

zbMATH Keywords

discretizationsingular systemspectral analysisnull spacecontinuous difference operator

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Difference operators (39A70) Numerical differentiation (65D25) Linear difference operators (47B39)

Cites Work

• On tensor products of linear operators
• Interlacement of the even and odd spectra of real symmetric Toeplitz matrices
• On the extreme eigenvalues of Hermitian (block) Toeplitz matrices
• Spectral Properties of Tensor Products of Linear Operators. I
• Spectral Properties of Tensor Products of Linear Operatrs. II: The Approximate Point Spectrum and Kato Essential Spectrum
• Restoration of chopped and nodded images in infrared astronomy
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