15 citations · 126 across the 65 of their papers we have counts for
75 papers
Spectral Barron spaces of periodic functions
Mourad Choulli, Shuai Lu, Hiroshi Takase
Spectral Barron spaces are Fourier-Lebesgue-type spaces that arise in the approximation of functions by neural networks. Conventional spectral Barron spaces are mostly considered o…
Heat equations in spectral Barron spaces
Mourad Choulli, Shuai Lu, Hiroshi Takase
Spectral Barron spaces, characterized by an \(L^1\)-based Fourier-Lebesgue norm, have earned significant attention in approximation theory due to their remarkable capacity to repre…
Determination of separable perturbations of an unbounded potential in the two-dimensional Schrödinger equation
Mourad Choulli, Hiroshi Takase
We establish uniqueness and stability results for a class of perturbations of an unbounded potential in the two-dimensional Schrödinger equation, from the corresponding Dirichlet-t…
An - Carleman inequality for
Mourad Choulli, Hiroshi Takase
In this note, by refining the proof of the Carleman inequality obtained by Dos Santos, Kenig, and Salo in 2013, we establish a new - Carleman inequality.
Quantitative Borg-Levinson theorem for the magnetic Schödinger operator with unbounded electrical potential
Mourad Choulli, Hiroshi Takase
The first author established in [8] a quantitative Borg-Levinson theorem for the Schrödinger operator with unbounded potential. In the present work, we extend the results in [8] to…
Inverse spectral problems for higher-order coefficients
Mourad Choulli
We establish uniqueness and stability inequalities for the problem of determining the higher-order coefficients of an elliptic operator from the corresponding boundary spectral dat…