The goal of this thesis is to study signals that have a regularity property defined in
the frequency space, such as a decay on average of the amplitude of their Fourier
transform, by using techniques from frequency ...
For a given continuous function g defined on the boundary of Ω where Ω is a bounded lipschitz domain in ℝ𝑛satisfying some conditions, we consider proving the existence of a function u in the space of BV(Ω) that is equal ...