On real-analytic recurrence relations for cardinal exponential B-splines

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Title: On real-analytic recurrence relations for cardinal exponential B-splines
Authors: Aldaz, J. M.
Kounchev, Ognyan
Render, Hermann
Permanent link: http://hdl.handle.net/10197/5508
Date: Oct-2007
Abstract: Let LN+1 be a linear differential operator of order N + 1 with constant coefficients and real eigenvalues λ 1, ..., λ N+1, let E( N+1) be the space of all C∞-solutions of LN+1 on the real line.We show that for N 2 and n = 2, ...,N, there is a recurrence relation from suitable subspaces εn to εn+1 involving real-analytic functions, and with εN+1 = E(Λ N+1) if and only if contiguous eigenvalues are equally spaced.
Type of material: Journal Article
Publisher: Elsevier
Copyright (published version): 2007 Elsevier
Keywords: L-splinesCardinal splinesBasic splineRecurrence relation
DOI: 10.1016/j.jat.2006.09.004
Language: en
Status of Item: Peer reviewed
Appears in Collections:Mathematics and Statistics Research Collection

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