Finite convolution integral operators commuting with differential operators: some counterexamples

DOI10.1080/01630568108816086zbMath0497.58022OpenAlexW2005642707WikidataQ124967273 ScholiaQ124967273MaRDI QIDQ3962215

F. Alberto Gruenbaum

Publication date: 1981

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630568108816086

zbMATH Keywords

Laplace-Beltrami operator on a Riemannian manifoldcharacteristic function of a geodesic ballmetric on the two dimensional torusoperator commuting with a second order differential operator with a simple spectrumorthogonal projection on the span of the eigenspaces

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Global Riemannian geometry, including pinching (53C20) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)

Related Items (2)

Time-band limiting matrices and lamé's equation ⋮ Multitaper Estimation on Arbitrary Domains

Cites Work

• Unnamed Item
• The Ill-Conditioned Nature of the Limited Angle Tomography Problem
• 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

This page was built for publication: Finite convolution integral operators commuting with differential operators: some counterexamples