Article ID Journal Published Year Pages File Type
1709043 Applied Mathematics Letters 2009 6 Pages PDF
Abstract

Decompositions of Hilbert spaces in terms of reducing subspaces for wavelets operators, as well decompositions of these operators themselves, are investigated. In particular, it is shown on which reducing subspaces these operators act as bilateral shifts of multiplicity 1. We also exhibit the unitary transformation that performs the unitary equivalence between restrictions of them to appropriate reducing subspaces.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
Authors
, ,