Cardinal interpolation with polysplines on annuli

DOI10.1016/j.jat.2005.08.003zbMath1085.41003OpenAlexW2129549362MaRDI QIDQ2575618

Hermann Render, Ognyan Kounchev

Publication date: 5 December 2005

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

Full work available at URL: https://doi.org/10.1016/j.jat.2005.08.003

zbMATH Keywords

L-splinescardinal spline interpolationpolyharmonic functions in annulus

Mathematics Subject Classification ID

Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Spline approximation (41A15)

Related Items (13)

Convergence of polyharmonic splines on semi-regular grids \(\mathbb Z \times \mathbb Z^n\) for \(a\rightarrow 0\) ⋮ Error estimates for interpolation with piecewise exponential splines of order two and four ⋮ Polyharmonic functions of infinite order on annular regions ⋮ A New Class of Interpolatory L-Splines with Adjoint End Conditions ⋮ On a class of \(L\)-splines of order 4: fast algorithms for interpolation and smoothing ⋮ Cardinal interpolation with periodic polysplines on strips ⋮ Reconstruction of L-splines of polynomial growth from their local weighted average samples ⋮ Real Bargmann spaces, Fischer decompositions, and sets of uniqueness for polyharmonic functions ⋮ Tight framelets and fast framelet filter bank transforms on manifolds ⋮ Bernstein operators for exponential polynomials ⋮ Interpolation of data functions on parallel hyperplanes ⋮ Fast algorithms for interpolation with L-splines for differential operators \(L\) of order \(4\) with constant coefficients ⋮ A symmetry property for polyharmonic functions vanishing on equidistant hyperplanes

Cites Work

• Recurrence relations for Tchebycheffian B-splines
• Lectures on transcendental numbers. Edited and completed by B. Diviš and W. J. LeVeque
• On the expansion of a function in terms of spherical harmonics in arbitrary dimensions
• Cardinal interpolation and spline functions
• Minimizing the Laplacian of a function squared with prescribed values on interior boundaries- Theory of polysplines
• The approximation order of polysplines
• Polyharmonic splines on grids $\mathbb{Z}\times a\mathbb{Z}^{n}$ and their limits
• Spherical Harmonics
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