Add to ORKGWe focus on the irreducibility of wavelet representations. We present some connections between the following notions: covariant wavelet representations, ergodic shifts on solenoids, fixed points of transfer (Ruelle) operators and solutions of refinement equations. We investigate the irreducibility of the wavelet representations, in particular the representation associated to the Cantor set, introduced in [13], and we present several equivalent formulations of the problem
We develop some new results for a general class of transfer operators, as they are used in a constru...
AbstractUsing a prime element of a local field K of positive characteristic, the concepts of multire...
International audienceWe consider continuous wavelet decompositions, mainly from geometric and algeb...
We focus on the irreducibility of wavelet representations. We present some connections between the f...
We study the reducibility of the wavelet representation associated to various QMF filters, including...
We answer a question by Judith Packer about the irreducibility of the wavelet representation associa...
We answer a question by Judith Packer about the irreducibility of the wavelet representation associa...
We introduce the notions of elementary reducing subspaces and elementary irreducible-invariant subsp...
We study a class of dynamical systems in L2 spaces of infinite products X. Fix a compact Hausdorff s...
AbstractWe study a decomposition problem for a class of unitary representations associated with wave...
We study a decomposition problem for a class of unitary representations associated with wavelet anal...
For points in d real dimensions, we introduce a geometry for general digit sets. We introduce a posi...
For points in d real dimensions, we introduce a geometry for general digit sets. We introduce a posi...
Motivated by the multivariate wavelet theory, and by the spectral theory of transfer operators, we c...
In this thesis we first develop a geometric framework for spectral pairs and for orthonormal famili...
We develop some new results for a general class of transfer operators, as they are used in a constru...
AbstractUsing a prime element of a local field K of positive characteristic, the concepts of multire...
International audienceWe consider continuous wavelet decompositions, mainly from geometric and algeb...
We focus on the irreducibility of wavelet representations. We present some connections between the f...
We study the reducibility of the wavelet representation associated to various QMF filters, including...
We answer a question by Judith Packer about the irreducibility of the wavelet representation associa...
We answer a question by Judith Packer about the irreducibility of the wavelet representation associa...
We introduce the notions of elementary reducing subspaces and elementary irreducible-invariant subsp...
We study a class of dynamical systems in L2 spaces of infinite products X. Fix a compact Hausdorff s...
AbstractWe study a decomposition problem for a class of unitary representations associated with wave...
We study a decomposition problem for a class of unitary representations associated with wavelet anal...
For points in d real dimensions, we introduce a geometry for general digit sets. We introduce a posi...
For points in d real dimensions, we introduce a geometry for general digit sets. We introduce a posi...
Motivated by the multivariate wavelet theory, and by the spectral theory of transfer operators, we c...
In this thesis we first develop a geometric framework for spectral pairs and for orthonormal famili...
We develop some new results for a general class of transfer operators, as they are used in a constru...
AbstractUsing a prime element of a local field K of positive characteristic, the concepts of multire...
International audienceWe consider continuous wavelet decompositions, mainly from geometric and algeb...