Crystallographic Haar-type Composite Dilation Wavelets

An (a,B, Γ ) composite dilation wavelet system is a collection of functions generating an orthonormal basis for L(R) under the actions of translations from a full rank lattice, Γ , dilations by elements of B, a subgroup of the invertible n×n matrices, and dilations by integer powers of an expanding matrix a. A Haar-type composite dilation wavelet system has… CONTINUE READING