Geodesic
Wavelets on general lattices, associated with general expanding maps of 𝐑ⁿ
Calogero, A.1
1 Dipartimento di Matematica, Universitá di Milano, via Saldini 50, 20133 Milano, Italy
Electronic research announcements of the American Mathematical Society, Tome 05 (1999), pp. 1-10 Cet article a éte moissonné depuis la source American Mathematical Society

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In the context of a general lattice $\Gamma$ in $\mathbf {R}^n$ and a strictly expanding map $M$ which preserves the lattice, we characterize all the wavelet families, all the MSF wavelets, all the multiwavelets associated with a Multiresolution Analysis (MRA) of multiplicity $d\ge 1,$ and all the scaling functions. Moreover, we give several examples: in particular, we construct a single, MRA and $C^\infty (\mathbf {R}^n)$ wavelet, which is nonseparable and with compactly supported Fourier transform.
DOI : 10.1090/S1079-6762-99-00054-2

Calogero, A. 1

1 Dipartimento di Matematica, Universitá di Milano, via Saldini 50, 20133 Milano, Italy 
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Calogero, A. Wavelets on general lattices, associated with general expanding maps of 𝐑ⁿ. Electronic research announcements of the American Mathematical Society, Tome 05 (1999), pp. 1-10. doi: 10.1090/S1079-6762-99-00054-2

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