On limits of multivariate B-splines

DOI10.1007/BF02803338zbMath0473.41007OpenAlexW2370136329MaRDI QIDQ1158582

Charles A. Micchelli, Wolfgang Dahmen

Publication date: 1981

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02803338

zbMATH Keywords

Laplace transformRadon transformdistribution functionsPolya- Laguerre class

Mathematics Subject Classification ID

Characteristic functions; other transforms (60E10) Laplace transform (44A10) Spline approximation (41A15) Distributions, generalized functions, distribution spaces (46F99) Entire functions of several complex variables (32A15) General integral transforms (44A05)

Related Items

Multivariate splines: a probabilistic perspective, Bayesian moment-based inference in a regression model with misclassification error, Multivariate spline spaces, Exponential box splines, On Entire Functions of Affine Lineage, Approximation and interpolation by complex splines on the torus, On multivariate E-splines, Periodic exponential box splines on a three direction mesh, B-splines from parallelepipeds, Translates of multivariate splines

Cites Work

• On Polya frequency functions. IV: The fundamental spline functions and their limits
• On Pólya frequency functions. I. The totally positive functions and their Laplace transforms
• On Multivariate B-Splines
• On Entire Functions of Affine Lineage
• On Lineal Entire Functions of n Complex Variables
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item