2 papers
math.AP2024
On the concentration of the Fourier coefficients for products of Laplace-Beltrami eigenfunctions on real-analytic manifolds
Philippe Charron, François Pagano
On a closed analytic manifold , let be the eigenfunctions of with eigenvalues and let be a finite product of Laplace-Beltrami eigenfun…
math-ph2023
Sturm-Hurwitz Theorem for quantum graphs
Ram Band, Philippe Charron
We prove upper and lower bounds for the number of zeroes of linear combinations of Schrödinger eigenfunctions on metric (quantum) graphs. These bounds are distinct from both the in…