Local dual and poly-scale refinability

    Authors

    Q. Y. Sun

    Comments

    Authors: contact us about adding a copy of your work at STARS@ucf.edu

    Abbreviated Journal Title

    Proc. Amer. Math. Soc.

    Keywords

    local dual; linear independent shifts; refinability; poly-scale; refinability; MAXIMUM VANISHING MOMENTS; COMPACTLY SUPPORTED TIGHT; LINEAR; INDEPENDENCE; FRAMES; WAVELETS; Mathematics, Applied; Mathematics

    Abstract

    For a compactly supported function f, let S-n(f), n greater than or equal to 0, be the space of all finite linear combinations of f(M-n . - k), k is an element of Z. In this paper, we consider the explicit construction of local duals of f and the poly-scale refinability of functions in S-0( f) when f is an M-refinable function. We show that for any M-refinable function f, there exists a local dual of f in S-N( f) for some N greater than or equal to 0, and that any function in S-0(f) is poly-scale refinable.

    Journal Title

    Proceedings of the American Mathematical Society

    Volume

    133

    Issue/Number

    4

    Publication Date

    1-1-2005

    Document Type

    Article; Proceedings Paper

    Language

    English

    First Page

    1175

    Last Page

    1184

    WOS Identifier

    WOS:000225945400028

    ISSN

    0002-9939

    Share

    COinS