On the convolution of a box spline with a compactly supported distribution: The exponential-polynomials in the linear span

DOI10.1016/0021-9045(91)90030-EzbMath0745.41013OpenAlexW2088393874MaRDI QIDQ1178498

Amos Ron

Publication date: 26 June 1992

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(91)90030-e

zbMATH Keywords

convolutionexamplesbox spline

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Spline approximation (41A15)

Related Items (1)

Characterizations of multivariate differences and associated exponential splines

Cites Work

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• B-splines from parallelepipeds
• On multivariate E-splines
• The polynomials in the linear span of integer translates of a compactly supported function
• On minimal and quasi-minimal supported bivariate splines
• A necessary and sufficient condition for the linear independence of the integer translates of a compactly supported distribution
• Exponential box splines
• Linear independence of the translates of an exponential box spline
• On The Convolution of a Box Spline With a Compactly Supported Distribution: Linear Independence for the Integer Translates
• Approximation by Smooth Multivariate Splines
• Local Approximation by Certain Spaces of Exponential Polynomials, Approximation Order of Exponential Box Splines, and Related Interpolation Problems
• The Approximation Order of Box Spline Spaces
• The Exponentials in the Span of the Multiinteger Translates of a Compactly Supported Function; Quasiinterpolation and Approximation Order
• Translates of Exponential Box Splines and their Related Spaces

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