This report presents a general panorama of recent progress in the arithmetic-geometry theory of Galois and homotopy groups and its ramifications. While still relying on Grothendieck’s original pillars [1], the present ...

We prove that under very mild conditions for any interpolation formula f(x)=∑λ∈Λf(λ)aλ(x)+∑μ∈Mf^(μ)bμ(x) we have a lower bound for the counting functions nΛ(R1)+nM(R2)≥4R1R2−Clog2(4R1R2) which very closely matches recent ...

We prove several results about integers represented by positive definite quadratic forms, using a Fourier analysis approach. In particular, for an integer ℓ≥1⁠, we improve the error term in the partial sums of the number ...

Oppgaven handler om fouriertransformasjon av generaliserte funksjoner, med spesiell vekt på fouriertransformasjon av hyperfunksjoner. Transformasjonen på hyperfunksjoner er deretter sammenlignet med Carlemans fouriertransform, ...

We study the fractal uncertainty principle in the joint time-frequency representation, and we prove a version for the Short-Time Fourier transform with Gaussian window on the modulation spaces. This can equivalently be ...

In this paper, we study the problem of bilinear regression, a type of statistical modeling that deals with multiple variables and multiple responses. One of the main difficulties that arise in this problem is the presence ...

The transition from physical learning spaces to fully digital learning environments in annus horribilis 2020 has challenged Institutions and educators in re-thinking teaching in a time of crisis. E-learning is now phasing ...