On real-analytic recurrence relations for cardinal exponential B-splines
|Title:||On real-analytic recurrence relations for cardinal exponential B-splines||Authors:||Aldaz, J. M.
|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-splines;Cardinal splines;Basic spline;Recurrence 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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