Wavelet bases in Lp(ℝ)
Gripenberg, Gustaf
Studia Mathematica, Tome 104 (1993), p. 175-187 / Harvested from The Polish Digital Mathematics Library
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It is shown that an orthonormal wavelet basis for L2(ℝ) associated with a multiresolution is an unconditional basis for Lp(ℝ), 1 < p < ∞, provided the father wavelet is bounded and decays sufficiently rapidly at infinity.

Publié le : 1993-01-01
EUDML-ID : urn:eudml:doc:216011 
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     author = {Gustaf Gripenberg},
     title = {Wavelet bases in $L^{p}($\mathbb{R}$)$
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     journal = {Studia Mathematica},
     volume = {104},
     year = {1993},
     pages = {175-187},
     zbl = {0811.42010},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv106i2p175bwm}
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Gripenberg, Gustaf. Wavelet bases in $L^{p}(ℝ)$
            . Studia Mathematica, Tome 104 (1993) pp. 175-187. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv106i2p175bwm/

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