J. Moreno

collaborators

4 papers

math.DG2026

The Steklov spectrum of convex polygonal domains II: investigating spectral determination

Emily B. Dryden, Carolyn Gordon, Javier Moreno +2

The extent to which the geometry of an object is determined by some associated spectral data is a longstanding problem. We investigate this problem in the context of the Steklov sp…

math.SP2024

The Steklov spectrum of convex polygonal domains I: spectral finiteness

Emily B. Dryden, Carolyn Gordon, Javier Moreno +2

We explore the Steklov eigenvalue problem on convex polygons, focusing mainly on the inverse Steklov problem. Our primary finding reveals that, for almost all convex polygonal doma…

math.SP2023

Spectral inclusions of perturbed normal operators and applications

Javier Moreno, Monika Winklmeier

We consider a normal operator $T$ on a Hilbert space $H$ . Under various assumptions on the spectrum of $T$ , we give bounds for the spectrum of $T + A$ where $A$ is $T$ -bounded with r…

math.CA2006

Sobolev orthogonal polynomials: balance and asymptotics

M. Alfaro, J. J. Moreno-Balcazar, A. Pena +1

Let $μ_{0}$ and $μ_{1}$ be measures supported on an unbounded interval and $S_{n, λ_{n}}$ the extremal varying Sobolev polynomial which minimizes \begin{equation*} < P, P >_{λ_n}=\int P^2…