3 papers
math.AP2026
Hadamard states for spacetimes with timelike boundaries
Alessandro Pietro Contini, Alexander Strohmaier
We formulate and prove existence of pure quasifree Hadamard states for the Klein--Gordon field with Dirichlet boundary condition on a globally hyperbolic spacetime with timelike bo…
math.SP2025
The Weyl law for the Dirichlet Laplacian
Alessandro Pietro Contini
The purpose of this paper is to review the asymptotic distribution of eigenvalues of the Dirichlet Laplacian. We introduce and recall all the relevant spectral quantities and provi…
math.AP2023
-classes, Singular Symplectic Geometry and Order-preserving Isomorphisms
Alessandro Pietro Contini
The geometric theory of pseudo-differential and Fourier Integral Operators relies on the symplectic structure of cotangent bundles. If one is to study calculi with some specific fe…