Add to ORKGComposite dilation wavelets are a class of wavelets that include additional dilations from a countable subgroup of the invertible matrices. We consider the case when these additional dilation matrices form a finite group. A theory of MRA wavelets is established in this setting along with a theory of shift invariant subspaces. We examine accuracy of this class of MRA wavelets and produce several examples of compactly support composite MRA wavelets
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1997.Includes bibliogr...
AbstractUsing the theory of basis generators we study various properties of multivariate Riesz and o...
AbstractLet I be the 2×2 identity matrix, and M a 2×2 dilation matrix with M2=2I. Since one can expl...
Composite dilation wavelets are a class of wavelets that include additional dilations from a countab...
In 2006 Guo, Labate, Lim, Weiss, and Wilson introduced the theory of MRA composite dilation wavelet...
AbstractAffine systems are reproducing systems of the formAC={DcTkψℓ:1⩽ℓ⩽L,k∈Zn,c∈C}, which arise by...
Summary. A wavelet with composite dilations is a function generating an orthonor-mal basis or a Pars...
AbstractAffine systems are reproducing systems of the formAC={DcTkψℓ:1⩽ℓ⩽L,k∈Zn,c∈C}, which arise by...
Affine systems are reproducing systems of the form AC = {Dc Tk ψ ` : 1 ≤ ` ≤ L, k ∈ Zn, c ∈ C}, wh...
In this dissertation we study a special kind of wavelets, the so-called minimally supported frequenc...
We prove that for any expansive n x n integral matrix A with \ det A \ = 2, there exist A-dilation m...
Affine systems are reproducing systems of the form which arise by applying lattice translation opera...
Abstract. A composite dilation wavelet is a collection of functions generating an orthonormal basis ...
AbstractA multiresolution analysis was defined by Gabardo and Nashed for which the translation set i...
ABSTRACT. A congruency theorem is proven for an ordered pair of groups of homeomorphisms of a metric...
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1997.Includes bibliogr...
AbstractUsing the theory of basis generators we study various properties of multivariate Riesz and o...
AbstractLet I be the 2×2 identity matrix, and M a 2×2 dilation matrix with M2=2I. Since one can expl...
Composite dilation wavelets are a class of wavelets that include additional dilations from a countab...
In 2006 Guo, Labate, Lim, Weiss, and Wilson introduced the theory of MRA composite dilation wavelet...
AbstractAffine systems are reproducing systems of the formAC={DcTkψℓ:1⩽ℓ⩽L,k∈Zn,c∈C}, which arise by...
Summary. A wavelet with composite dilations is a function generating an orthonor-mal basis or a Pars...
AbstractAffine systems are reproducing systems of the formAC={DcTkψℓ:1⩽ℓ⩽L,k∈Zn,c∈C}, which arise by...
Affine systems are reproducing systems of the form AC = {Dc Tk ψ ` : 1 ≤ ` ≤ L, k ∈ Zn, c ∈ C}, wh...
In this dissertation we study a special kind of wavelets, the so-called minimally supported frequenc...
We prove that for any expansive n x n integral matrix A with \ det A \ = 2, there exist A-dilation m...
Affine systems are reproducing systems of the form which arise by applying lattice translation opera...
Abstract. A composite dilation wavelet is a collection of functions generating an orthonormal basis ...
AbstractA multiresolution analysis was defined by Gabardo and Nashed for which the translation set i...
ABSTRACT. A congruency theorem is proven for an ordered pair of groups of homeomorphisms of a metric...
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1997.Includes bibliogr...
AbstractUsing the theory of basis generators we study various properties of multivariate Riesz and o...
AbstractLet I be the 2×2 identity matrix, and M a 2×2 dilation matrix with M2=2I. Since one can expl...