Two-direction multiwavelet moments

摘要

Two-direction multiscaling functions ϕ and two-direction multiwavelets ψ associated with ϕ are a more general and more flexible setting than one-direction multiscaling functions and multiwavelets. In this paper, we derive two methods for computing continuous moments of orthogonal two-direction multiscaling functions ϕ and multiwavelets ψ. The first method is by doubling and the second method is by separation. Examples for both methods are given.