On a class of bidimensional nonseparable wavelet multipliers ✩

Let E = 1 1 1 −1 or 0 2 1 0 . A measurable function v is called an E-wavelet multiplier if (v ˆ ψ)˘ is an E-wavelet whenever ψ is an E-wavelet. In this paper, some characterizations of E-wavelet multiplier are obtained. As an application of these techniques, we prove that the set of E-wavelets is arcwise connected.  2002 Elsevier Science (USA). All rights reserved.