2 citations · 8 across the 19 of their papers we have counts for
4 papers · 1 filter
Classes of Holomorphic Multicomplex-Valued Functions Generated by Elliptic-Admissible Involutions
Nicolas Doyon, Pierre-Olivier Parisé, William Verreault
We classify and count the real-algebra involutions of the multicomplex algebra that map each element of its canonical monomial basis to a signed monomial…
Failure of Symmetry of Zonal Spherical Harmonics
Gabriel Beiner, William Verreault
In this paper, we show that the 2-sphere does not exhibit symmetry of norms of eigenfunctions of the Laplacian for . In other words, there exists a sequence of spher…
A counterexample to symmetry of norms of eigenfunctions
Gabriel Beiner, Nancy Mae Eagles, William Verreault +1
We answer a question of Jakobson and Nadirashvili on the asymptotic behavior of the norms of positive and negative parts of eigenfunctions of the Laplacian. More precisely, w…
Plank theorems and their applications: a survey
William Verreault
Plank problems concern the covering of convex bodies by planks in Euclidean space and are related to famous open problems in convex geometry. In this survey, we introduce plank pro…