Uncertainty principle for the Poly-axially L 2 α -multiplier operators
In this article, the Heisenberg-Pauli-Weyl uncertainty principle and Donoho-Stark s uncertainty principle are obtained for the Poly-axially L 2 α -multiplier operators
math.FA↗
arXiv subjects
Belgacem Selmi
Publications and source records attributed to Belgacem Selmi.
Sobolev type spaces associated with the Poly-axially operator
In this paper n-dimensional Sobolev type spaces $ E_α^{s,p}(\R^n_+)$ $(α\in \R^n,\;\;α_1> -\frac{1}{2},...,α_n>-\frac{1}{2}, s\in \R, p\in [1,+\infty])$ are defined on $\R^n_+$ by using Fourier-Bessel transform. Some properties including completeness and embedding results for these spaces are obtained, Poincaré's inequality and Reillich theorem are proved.
math.FA↗