Frame wavelet sets in $\mathbb {R}$

Smooth functions associated with wavelet sets on R, d ≥ 1, and frame bound gaps

The theme is to smooth characteristic functions of Parseval frame wavelet sets by convolution in order to obtain implementable, computationally viable, smooth wavelet frames. We introduce the following: a new method to improve frame bound estimation; a shrinking technique to construct frames; and a nascent theory concerning frame bound gaps. The phenomenon of a frame bound gap occurs when certa...

Frame Wavelet Sets and Wavelets in Banach Spaces

In this paper, we try to study a special class of frame wavelets in Banach spaces whose Fourier transforms are supported by frame wavelet sets. Our results generalize the various results of [2] to Banach spaces other than Hilbert spaces using the Feichtinger and Gröchenig theory. 2001 AMS Subject Classification : 42C99

1 Simple Wavelet Sets for Scalar Dilations in R 2

Repeated Root Constacyclic Codes of Length $mp^s$ over $\mathbb{F}_{p^r}+u \mathbb{F}_{p^r}+...+ u^{e-1}\mathbb{F}_{p^r}$

We give the structure of λ-constacyclic codes of length pm over R = Fpr +uFpr + . . .+uFpr with λ ∈ F ∗ pr . We also give the structure of λ-constacyclic codes of length pm with λ = α1 + uα2 + . . .+ u αe−1, where α1, α2 6= 0 and study the self-duality of these codes.

MRA parseval frame multiwavelets in L^2(R^d)

In this paper, we characterize multiresolution analysis(MRA) Parseval frame multiwavelets in L^2(R^d) with matrix dilations of the form (D f )(x) = sqrt{2}f (Ax), where A is an arbitrary expanding dtimes d matrix with integer coefficients, such that |detA| =2. We study a class of generalized low pass matrix filters that allow us to define (and construct) the subclass of MRA tight frame multiwa...