From spline approximation to Roth's equation and Schur functors

DOI10.1007/s00229-012-0594-6zbMath1276.41010arXiv1210.2694OpenAlexW2092855836MaRDI QIDQ361851

Mináč, Ján, Ştefan O. Tohǎneanu

Publication date: 19 August 2013

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.2694

zbMATH Keywords

triangulationsimplicial complexAlfeld-Schumaker formulaRoth's equationSchur functorsspace of splines of smoothness \(r\) and degree \(d\)

Mathematics Subject Classification ID

Factorization of matrices (15A23) Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Spline approximation (41A15)

Related Items (3)

Bivariate splines on Tohǎneanu partition ⋮ Lattice-supported splines on polytopal complexes ⋮ Dimension of mixed splines on polytopal cells

Cites Work

• Hilbert functions of graded algebras
• Splines on generalized quasi-cross-cut partitions
• Local cohomology of bivariate splines
• A family of ideals of minimal regularity and the Hilbert series of \(C^r(\widehat\Delta)\)
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• Smooth planar \(r\)-splines of degree 2\(r\)
• On the dimension of bivariate spline spaces of smoothness r and degree \(d=3r+1\)
• A dimension series for multivariate splines
• Positive definite matrices
• The Equations AX - YB = C and AX - XB = C in Matrices
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