Wavelet bases in $L^{p}(ℝ)$
Volume 106 / 1993
Studia Mathematica 106 (1993), 175-187
DOI: 10.4064/sm-106-2-175-187
Abstract
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.
