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   -> Volume 2, Issue 16


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Author Message
Bruno Torresani (torresan@marcptnx1.univ-mrs.fr)
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PostPosted: Fri Nov 29, 2002 3:38 pm    
Subject: Papers available:
Reply with quote

Papers available:

The following papers are available by anonymous ftp at

cpt.univ-mrs.fr (139.124.7.5)

login as "anonymous" and enter your e-mail address as password.
path:
/pub/preprints/93/wavelets

The following preprints are available

---
92-P.2811.tar.Z (Plain TeX)

centerline{f N-DIMENSIONAL AFFINE WEYL-HEISENBERG WAVELETS}
centerline{f C. Kalisa, B.Torresani}

{f Abstract} : Multidimensional coherent states systems
generated by translations, modulations, rotations and dilations are
described. Starting from unitary irreducible representations of
the $n$-dimen-sional Weyl-Heisenberg group, which are not
square-integrable,
one is led to consider systems of coherent states labeled by the
elements of
quotients of the original group. Such systems can yield a resolution
of the
identity, and then be used as alternatives to usual wavelet of
windowed

Fourier analysis. When the quotient space is the phase space of the
representation,
different embeddings of it into the group provide different
descriptions of the phase space.

September 1992;
to appear in "Annales de l'institut Henri Poincar'e, Physique
Th'eorique".
---

93-P.2910.tar.Z (latex, with postscript figures)

centerline{igbf PYRAMIDAL ALGORITHMS FOR}
centerline{igbf LITTLEWOOD-PALEY DECOMPOSITIONS}
centerline{M.A. Muschietti, B. Torr'esani }


oindent{f Abstract} : It is well known that with any usual
multiresolution
analysis of $L^2({f R})$ is associated a pyramidal algorithm for
the
computation of the corresponding wavelet coefficients.
It is shown that an approximate pyramidal
algorithm may be associated with more general Littlewood-Paley
decompositions.
Accuracy estimates are provided for such approximate algorithms.
Finally, some
explicit examples are studied.

May 1993; To appear in SIAM J. Math. An.

---
93-P.2932.tar.Z (latex, with postscript figures)
centerline{f WAVELETS ON DISCRETE FIELDS}
centerline{f K.Flornes, A.Grossmann, M.Holschneider,
B.Torr'esani}

egin{abstract}
An arithmetic version of continuous wavelet analysis is described.
Starting
from a square-integrable representation of the affine group of $_p$
(or $$)
it is shown how wavelet decompositions of $ell^2(_p)$ can be
obtained.
Moreover, a redefinition of the dilation operator on $ell^2(_p)$
directly yields an algorithmic structure similar to that appearing
with
multiresolution analyses.
end{abstract}

July 1993; To appear at Applied and Computational Harmonic Analysis.

---
93-P.2878.tar.Z latex (with postscript figures)

centerline{igbf PHASE SPACE DECOMPOSITIONS:}
centerline{igbf Local Fourier analysis on spheres}
centerline{Bruno Torresani}


oindent{f Abstract} : Continuous wavelet analysis
and Gabor analysis have proven
to be very useful tools for the analysis of signals in which local
frequencies can be extracted. Both techniques can be described
in the same footing using the theory of square-integrable group
representations or derived theories. It is shown here how the
same kind of techniques can be developed to construct
phase-space representation theormes for functions defined
on homogeneous spaces. As examples, the cases of the circle
and the spheres are carried in details, and some explicit expressions
are given in the one and two-dimensional cases.

March 1993;
Submitted to Applied and Computational Harmonic Analysis.

---
93-P.2870.tar.Z (Plain TeX, with postscript figures)

centerline{f LOCAL FREQUENCY ANALYSIS WITH}
centerline{f TWO-DIMENSIONAL WAVELET TRANSFORM}
centerline{f Caroline Gonnet hskip2cm Bruno Torresani}

{f Abstract} : An algorithm for the characterization of local
frequencies
in two-dimensional signals is described. The algorithm generalizes to
the 2D
situation a method previously proposed in the 1D context, based on
the analysis
of the phase of the continuous wavelet transform. It uses families of
wavelets
generated from a unique one by shifts, dilations and rotations.

January 1993; revised April 1993.To appear in Signal Processing
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