In the theory of wavelet frames, known Daubechies bases have been generalized to compactly supported (Daubechies-like) while bandlimited Meyer not date. this study, we will generalize basis into non-separable Meyer-like frames. By using a characteristic function mask Fourier transform one-dimensional scaling with width parameter, can produce family frame functions and associated After that, by ...

This paper deals with structural issues concerning wavelet frames and their dual frames. It is known that there exist { a j / 2 ? ( ? ? k b ) } , ? Z in L R for which no frame has structure. We first generalize this result by proving approximately Motivated we show imposing very mild decay condition on the Fourier transform of generator certain oversampling N indeed an frame; most importantly, ...

We construct Parseval wavelet frames in $$L^2(M)$$ for a general Riemannian manifold M and we show the existence of unconditional $$L^p(M)$$ $$1< p <\infty $$ . This is made possible thanks to smooth orthogonal projection decomposition identity operator on , which was recently proven by Bownik et al. (Potential Anal 54:41–94, 2021). also characterization Triebel–Lizorkin $${\mathbf {F}}_{p,q}^s...

In this paper, we obtain symmetric C∞ real-valued tight wavelet frames in L2(R) with compact support and the spectral frame approximation order. Furthermore, we present a family of symmetric compactly supported C∞ orthonormal complex wavelets in L2(R). A complete analysis of nonstationary tight wavelet frames and orthonormal wavelet bases in L2(R) is given.