Convergence of Cardinal Series

DOI10.2307/2046201zbMath0624.41023OpenAlexW4256300158MaRDI QIDQ3762783

Klaus Höllig, Carl De Boor, Sherman D. Riemenschneider

Publication date: 1986

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: http://digital.library.wisc.edu/1793/58646

zbMATH Keywords

Fourier transformmultivariate cardinal splines

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximation by other special function classes (41A30)

Related Items

Limits of interpolatory processes ⋮ Graph signal sampling and interpolation based on clusters and averages ⋮ Cardinal Hermite interpolation with box splines ⋮ Convergence and Regularization of Sampling Series ⋮ Sampling Series, Refinable Sampling Kernels, and Frequency Band Limited Functions ⋮ Operator-like wavelet bases of \(L_{2}(\mathbb{R}^{d})\) ⋮ Convergence properties of spline-like cardinal interpolation operators acting on \(\ell ^p\) data ⋮ The limiting behavior of certain sampling series and cardinal splines ⋮ Cardinal Hermite interpolation with box splines. II ⋮ Spline space and its B-splines on an \(n+1\) direction mesh in \({\mathbb R}^n\)