In this paper, we apply parseval shearlet frames to solve the wave equation. To this end, using the

Plancherel’s theorem, we calculate the shearlet coe

ffi

cients.

We build an integral representation of solutions of the wave equation as a superposition of other solutions. Investigations are based on continuous shearlet transforms in higher dimensions. We construct a new shearlet which ...

Necessary conditions for shearlet and cone-adapted shearlet systems

to be frames are presented with respect to the admissibility condition of genera-

tors.

Discrete and cone-adapted discrete shearlet ...

In this paper, we use a technique for solving integral equations which

is based on He’s variational iteration method. In this approach, at first,

we turn the given integral equation to the integro-differential ...