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Lattice and continuum wavelets and the block renormalization group
Authors:Michael O'Carroll
Affiliation:(1) Departamento de Física, Instituto de Ciências Exatas, Universidade Federal de Minas Gerais, 30.270 Belo Horizonte, Brazil
Abstract:We obtain a resolution of the identity operator, for functions on a latticeepsivZd, which is derived from the block renormalization group. We use eigenfunctions of the terms of the decomposition to form a basis forl2(epsivZd) and show how the basis is generated from lattice wavelets. The lattice spacingepsiv is taken to zero and continuum wavelets are obtained.
Keywords:Renormalization group  wavelets  multiscale representation
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