Remarks on a paper by Cordero and Nicola on Feichtinger's Wiener amalgam spaces and the Schroedinger equation

TL;DR

This paper explores recent results by Cordero and Nicola on Wiener amalgam spaces and their implications for the regularity of solutions to the Schrödinger equation with quadratic Weyl symbols, without assessing the validity of those claims.

Contribution

It derives consequences of recent work on the metaplectic representation and Wiener amalgam spaces related to Schrödinger equation regularity, extending existing theoretical frameworks.

Findings

Connections between Wiener amalgam spaces and Schrödinger regularity

Implications of metaplectic representation on PDE solutions

Highlights of recent advances without validation of claims

Abstract

We derive some consequences of very recent results of Cordero and Nicola on the metaplectic representation, the Wiener amalgam spaces, (whose definition is due to Feichtinger), and their applications to the regularity of the solutions of Schroedinger equation with quadratic Weyl symbol. We do not however discuss the validity of Cordero and Nicola's claims.