Wavelet bases in $L^{p}(ℝ)$

ArticleOriginal scientific text

Title

Authors ¹

Department of Mathematics, University of Helsinki, P.O. Box 4, Regeringsgatan 15, 00014 University of Helsinki, Finland

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.

basis,

L^{p}

, multiresolution, unconditional, wavelet

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