41 citations · 86 across the 8 of their papers we have counts for
9 papers
Optimization of trigonometric polynomials with crystallographic symmetry and spectral bounds for set avoiding graphs
Evelyne Hubert, Tobias Metzlaff, Philippe Moustrou +1
Trigonometric polynomials are usually defined on the lattice of integers.We consider the larger class of weight and root lattices with crystallographic symmetry.This article gives…
Orbit spaces of Weyl groups acting on compact tori: a unified and explicit polynomial description
Evelyne Hubert, Tobias Metzlaff, Cordian Riener
The Weyl group of a crystallographic root system has a nonlinear action on the compact torus. The orbit space of this action is a compact basic semi-algebraic set. We present a pol…
Sparse Interpolation in Terms of Multivariate Chebyshev Polynomials
Evelyne Hubert, Michael F. Singer
Sparse interpolation} refers to the exact recovery of a function as a short linear combination of basis functions from a limited number of evaluations. For multivariate functions,…
Rational invariants of even ternary forms under the orthogonal group
Paul Görlach, Evelyne Hubert, Théo Papadopoulo
In this article we determine a generating set of rational invariants of minimal cardinality for the action of the orthogonal group on the space $\mathbb{R}[x,y,z]_{2…
Lagrangian Curves in Affine Symplectic 4-space
Emilio Musso, Evelyne Hubert
Lagrangian curves in 4-space entertain intriguing relationships with second order deformation of plane curves under the special affine group and null curves in a 3-dimensional Lore…
Differential Invariants of Conformal and Projective Surfaces
Evelyne Hubert, Peter J. Olver
We show that, for both the conformal and projective groups, all the differential invariants of a generic surface in three-dimensional space can be written as combinations of the in…