Local dual and poly-scale refinability
Abbreviated Journal Title
Proc. Amer. Math. Soc.
local dual; linear independent shifts; refinability; poly-scale; refinability; MAXIMUM VANISHING MOMENTS; COMPACTLY SUPPORTED TIGHT; LINEAR; INDEPENDENCE; FRAMES; WAVELETS; Mathematics, Applied; Mathematics
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.
Proceedings of the American Mathematical Society
Article; Proceedings Paper
"Local dual and poly-scale refinability" (2005). Faculty Bibliography 2000s. 5704.