dual multiwavelet frames with symmetry from two-direction renable functions

Dual multiwavelet frames with symmetry from two-direction renable functions

dual multiwavelet frames with symmetry from two-direction renable functions

Dual Multiwavelet Frames with Symmetry from Two-direction Refinable Functions

Motivated by [B. Han and Q. Mo, Adv. Comp. Math. 18 (2003) 211-245] and [B. Han and Z. Shen, Constr. Approx. 29 (2009) 369-406], we propose dual two-direction frames in dual Sobolev spaces (H(R), H−s(R)), with s > 0. Based on the dual two-direction frames from a pair of two-direction refinable functions, dual multiwavelet frames with symmetry {Ψ(x) := (ψ 1(x), ψ 2(x)) T }`=1 and {Ψ̃(x) : = (ψ̃ 1(...

Polynomial functions are re nable

Received (Day Month Year) Revised (Day Month Year) Communicated by (xxxxxxxxxx) The scope of renable functions in wavelet theory is focused to localized functions. In our paper we like to widen that scope, in particular we show that all polynomial functions are renable. This may yield an interesting notion of convolution of polynomials.

Fundamental Re nable Functions , Duals and Biorthogonal

In areas of geometric modeling and wavelets, one often needs to construct a compactly supported reenable function with suucient regularity which is fundamental for interpolation (that means, (0) = 1 and () = 0 for all 2 Z s nf0g). Low regularity examples of such functions have been obtained numerically by several authors and a more general numerical scheme was given in RiS1]. This paper present...

Building re nable functions from their values atintegersJohan

In this paper we consider the problem of generating a reenable function from values speciied at the integers.