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A system of differential equations connected with a polynomial class of shifts of a box spline

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Publication:923224
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DOI10.1007/BF01158024zbMath0711.35027MaRDI QIDQ923224

A. A. Akopyan, Artur A. Sahakyan

Publication date: 1988

Published in: Mathematical Notes (Search for Journal in Brave)


zbMATH Keywords

existenceuniquenessB-splinesbox spline


Mathematics Subject Classification ID

Series solutions to PDEs (35C10) Spline approximation (41A15)


Related Items (6)

Zonotopal algebra and forward exchange matroids ⋮ Hierarchical zonotopal power ideals ⋮ Zonotopal algebra ⋮ Hierarchical zonotopal spaces ⋮ Polynomial interpolation to data on flats in \(\mathbb{R}^d\) ⋮ Splines, lattice points, and arithmetic matroids



Cites Work

  • Unnamed Item
  • B-splines from parallelepipeds
  • Interpolation in minimum semi-norm and multivariate B-splines
  • Translates of multivariate splines
  • On the Linear Independence of Multivariate B-Splines. II: Complete Configurations
  • Approximation by Smooth Multivariate Splines
  • On the local linear independence of translates of a box spline
  • Multivariate spline functions, B-spline bases and polynomial interpolations II
  • Multivariate interpolation II of Langrange and Hermite type


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