3 papers
math.CA2026
Endpoint estimates for multiparameter multipliers of Marcinkiewicz type
Odysseas Bakas, Ioannis Parissis
In this paper we prove sharp endpoint estimates for multiparameter Marcinkiewicz multiplier operators. More precisely, this result is a consequence of a more general theorem for mu…
math.AP2026
The initial-to-final-state inverse problem with critically-singular potentials
Manuel Cañizares, Pedro Caro, Ioannis Parissis +1
The Schrödinger equation in high dimensions describes the evolution of a quantum system. Assume that we are given the evolution map sending each initial state $f\in L^2(\mathbb{R}…
math.AP2025
The initial-to-final-state inverse problem with time-independent potentials
Manuel Cañizares, Pedro Caro, Ioannis Parissis +1
The initial-to-final-state inverse problem consists in determining a quantum Hamiltonian assuming the knowledge of the state of the system at some fixed time, for every initial sta…