Multivariate Anisotropic Interpolation on the Torus

Abstract

We investigate the error of periodic interpolation, when sampling a function on an arbitrary pattern on the torus. We generalize the periodic Strang-Fix conditions to an anisotropic setting and provide an upper bound for the error of interpolation. These conditions and the investigation of the error especially take different levels of smoothness along certain directions into account.

Cited by in corpus (2)

• Multivariate periodic wavelets of de la Vallée Poussin type
• A Framework for FFT-based Homogenization on Anisotropic Lattices