Differential operators commuting with convolution integral operators

DOI10.1016/0022-247X(83)90093-8zbMath0506.45018MaRDI QIDQ1836843

F. Alberto Gruenbaum

Publication date: 1983

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

zbMATH Keywords

Fourier transformcompact operatorcommutatorselfadjoint differential operatorspectral structureconvolution type integral operator

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) General theory of ordinary differential operators (47E05) Commutators, derivations, elementary operators, etc. (47B47) Integral operators (45P05) Eigenvalue problems for integral equations (45C05) Integral, integro-differential, and pseudodifferential operators (47Gxx)

Related Items (7)

Spectral analysis for a three-dimensional superradiance problem ⋮ Functional Relations, Sharp Mapping Properties, and Regularization of the X-Ray Transform on Disks of Constant Curvature ⋮ Solution of a Homogeneous Version of Love Type Integral Equation in Different Asymptotic Regimes ⋮ A new generalization of the PSWFs with applications to spectral approximations on quasi-uniform grids ⋮ On the commutation properties of finite convolution and differential operators. II: Sesquicommutation ⋮ On the commutation properties of finite convolution and differential operators. I: Commutation ⋮ Finite symmetric convolution operators and singular symmetric differential operators

Cites Work

• Asymptotic behavior of the eigenvalues of certain integral equations. II
• Eigenvectors of a Toeplitz Matrix: Discrete Version of the Prolate Spheroidal Wave Functions
• A study of fourier space methods for “limited angle” image reconstruction^*
• Prolate Spheroidal Wave Functions, Fourier Analysis, and Uncertainty-V: The Discrete Case
• 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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