On the construction of multivariate (pre)wavelets Academic Article

abstract

• A new approach for the construction of wavelets and prewavelets on Rd from multiresolution is presented. The method uses only properties of shift-invariant spaces and orthogonal projectors from L2(Rd) onto these spaces, and requires neither decay nor stability of the scaling function. Furthermore, this approach allows a simple derivation of previous, as well as new, constructions of wavelets, and leads to a complete resolution of questions concerning the nature of the intersection and the union of a scale of spaces to be used in a multiresolution. 1993 Springer-Verlag.

authors

• Devore, Ronald

published proceedings

• Constructive Approximation

author list (cited authors)

• de Boor, C., DeVore, R. A., & Ron, A.

citation count

• 163

complete list of authors

• de Boor, Carl||DeVore, Ronald A||Ron, Amos

publication date

• January 1993

publisher

• Springer Nature  Publisher

published in

• Constructive Approximation  Journal

Digital Object Identifier (DOI)

• 10.1007/bf01198001

start page

• 123

end page

• 166

volume

• 9

issue

• 2-3

URL

• http://dx.doi.org/10.1007/bf01198001