Solvability of Systems of Linear Operator Equations

DOI10.2307/2160475zbMath0793.41014OpenAlexW4250143696MaRDI QIDQ4290806

Zuowei Shen, Sherman D. Riemenschneider, Rong-Qing Jia

Publication date: 5 May 1994

Full work available at URL: https://doi.org/10.2307/2160475

zbMATH Keywords

multivariate approximationlinear partial differential equationslinear partial difference equationscommuting linear operators

Mathematics Subject Classification ID

Multidimensional problems (41A63) Difference operators (39A70) Spline approximation (41A15) Ideals and multiplicative ideal theory in commutative rings (13A15) Linear higher-order PDEs (35G05)

Related Items (3)

Variations on the fundamental principle for linear systems of partial differential and difference equations with constant coefficients ⋮ Partition of unity and density: A counterexample ⋮ Shift-invariant spaces and linear operator equations

Cites Work

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• On multivariate E-splines
• Local Dimension of Piecewise Polynomial Spaces, Syzygies, and Solutions of Systems of Partial Differential Equations
• Dimension of Certain Kernel Spaces of Linear Operators
• Dimension of Kernels of Linear Operators

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