Fourier analysis of gridfunctions, prolongations and restrictions
Piet Hemker · Centrum Wiskunde & Informatica (CWI), the national research institute for mathematics and computer science in the Netherlands · 1980
In this report we present in some detail the elementary Fourier analysis of gridfunctions.These gridfunctions are functions defined on an n-dimensional, rectangular, regularly spaced and infinite grid.We consider the effect of operators of a general convolution type; in particular we study prolongations and restrictions.These are operators which transform functions on coarse to functions on fine grids, vice versa.Special attention is payed to the combination of particular restrictions and prolongations.