Haar Wavelets is a Clifford Algebra

摘要

The main idea is to construct a basis for the space L2([0,1]) that can be wrapped isomorphically onto a Clifford algebra m of dimension 2m (m going to infinity). The endomorphism algebra End(m), itself a Clifford algebra, is then used to encode bounded linear operators on L2([0,1]) such as the Haar wavelet transform.