The purpose of this paper is to articulate an observation that many interesting type of wavelets (or coherent states) arise from group representations which are not square integrable or vacuum vectors which are not admissible. This extends an applicability of the popular wavelets construction to classic examples like the Hardy space
We derive Galilean wavelets, by which we mean coherent states of the affine Galilei group, that is, ...
We investigate the wavelet spaces Wg(Hπ)⊂L2(G) arising from square integrable representations π:G→U(...
International audienceWe consider continuous wavelet decompositions, mainly from geometric and algeb...
This book presents a survey of the theory of coherent states, wavelets, and some of their generaliza...
We begin by quickly reviewing the basic notions of group representations, with some emphasis on unit...
ABSTRACT. The course gives an overview of wavelets (or coherent states) construc-tion and its realis...
The paper develops theory of covariant transform, which is inspired by the wavelet construction. It ...
The paper develops theory of covariant transform, which is inspired by the wavelet construction. It ...
Copyright c © 2014 F. Esmaeelzadeh and R. A. Kamyabi Gol. This is an open access article distributed...
This second edition is fully updated, covering in particular new types of coherent states (the so-ca...
In a first part, we review the general theory of coherent states (CS). Starting from the canonical C...
We present a purely group-theoretical derivation of the continuous wavelet transform (CWT) on the 2-...
International audienceWe describe the construction of coherent states systems that do not genericall...
International audiencen-dimensional coherent states systems generated by translations, modulations, ...
We derive Galilean wavelets, by which we mean coherent states of the affine Galilei group, that is, ...
We derive Galilean wavelets, by which we mean coherent states of the affine Galilei group, that is, ...
We investigate the wavelet spaces Wg(Hπ)⊂L2(G) arising from square integrable representations π:G→U(...
International audienceWe consider continuous wavelet decompositions, mainly from geometric and algeb...
This book presents a survey of the theory of coherent states, wavelets, and some of their generaliza...
We begin by quickly reviewing the basic notions of group representations, with some emphasis on unit...
ABSTRACT. The course gives an overview of wavelets (or coherent states) construc-tion and its realis...
The paper develops theory of covariant transform, which is inspired by the wavelet construction. It ...
The paper develops theory of covariant transform, which is inspired by the wavelet construction. It ...
Copyright c © 2014 F. Esmaeelzadeh and R. A. Kamyabi Gol. This is an open access article distributed...
This second edition is fully updated, covering in particular new types of coherent states (the so-ca...
In a first part, we review the general theory of coherent states (CS). Starting from the canonical C...
We present a purely group-theoretical derivation of the continuous wavelet transform (CWT) on the 2-...
International audienceWe describe the construction of coherent states systems that do not genericall...
International audiencen-dimensional coherent states systems generated by translations, modulations, ...
We derive Galilean wavelets, by which we mean coherent states of the affine Galilei group, that is, ...
We derive Galilean wavelets, by which we mean coherent states of the affine Galilei group, that is, ...
We investigate the wavelet spaces Wg(Hπ)⊂L2(G) arising from square integrable representations π:G→U(...
International audienceWe consider continuous wavelet decompositions, mainly from geometric and algeb...
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