Multiresolution and wavelets

Multiresolution is investigated on the basis of shift-invariant spaces. Given a finitely generated shift-invariant subspace S of L 2 (ℝ d ), let S k be the 2 k -dilate of S ( k ∈ℤ). A necessary and sufficient condition is given for the sequence { S k } k∈ℤ to fom a multiresolution of L 2 (ℝ d ). A g... View More