Wavelet bases in
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.