Geodesic
Wavelet bases in $L^{p}(ℝ)$
Studia Mathematica, Tome 106 (1993) no. 2, pp. 175-187

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

It is shown that an orthonormal wavelet basis for $L^2(ℝ)$ associated with a multiresolution is an unconditional basis for $L^p(ℝ)$, 1 p ∞, provided the father wavelet is bounded and decays sufficiently rapidly at infinity.
DOI : 10.4064/sm-106-2-175-187
Keywords: basis, $L^p$, multiresolution, unconditional, wavelet

Gustaf Gripenberg 1

1 
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Gustaf Gripenberg. Wavelet bases in $L^{p}(ℝ)$. Studia Mathematica, Tome 106 (1993) no. 2, pp. 175-187. doi: 10.4064/sm-106-2-175-187

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