Some Applications of E-wavelet Multipliers

摘要

Let E=(1 1 1 -1) or (0 1 2 0). A measurable function v is called an E-waveletmultiplier if (rψ)v is an E-wavelet whenever ψ is an E-wavelet. Some characterizations and applications of E-wavelet multiplier were considered in [1]. In this paper, we give some other applications of E-wavelet multiplier, and prove that the set of all MRA E-wavelets is arcwise connected.