The well-known novel virus (COVID-19) is a new strain of coronavirus family, declared by
the World Health Organization (WHO) as a dangerous epidemic. More than 3.5 million …

Riesz wavelets in L 2 (R) have been proven as a useful tool in the context of both pure and
numerical analysis in many applications, due to their well prevailing and recognized theory …

In this work, we propose a framelet method based on B-spline functions for solving nonlinear
Volterra–Fredholm integro-differential equations and by involving Atangana–Baleanu …

This paper is devoted to shedding some light on the advantages of using tight frame systems
for solving some types of fractional Volterra integral equations (FVIEs) involved by the …

Using the wavelet transform defined in the infinite domain to process the signal defined in
finite interval, the wavelet transform coefficients at the boundary are usually very large. It will …

Orthogonal and biorthogonal (multi) wavelets on the real line have been extensively studied
and employed in applications with success. On the other hand, a lot of problems in …

Based on hierarchical partitions, we provide the construction of Haar-type tight framelets on
any compact set K ⊆ R^ d K⊆ R d. In particular, on the unit block 0, 1^ d 0, 1 d, such tight …

The paper is concerned with the construction of a cubic spline wavelet basis on the unit
interval and an adaptation of this basis to the first-order homogeneous Dirichlet boundary …

Factorization of matrices of Laurent polynomials plays an important role in mathematics and
engineering such as wavelet frame construction and filter bank design. Wavelet frames (aka …

In this paper, we propose a lattice factorization based symmetric paraunitary matrix
extension method to design a causal symmetric paraunitary multifilter banks (PUMFBs) and …