Evolution of superoscillations for spinning particles

Autor: Fabrizio Colombo, Elodie Pozzi, Irene Sabadini, Brett Wick

Publikováno v: Proceedings of the American Mathematical Society, Series B. 10:129-143

Superoscillating functions are band-limited functions that can oscillate faster than their fastest Fourier component. These functions appear in various fields of science and technology, in particular they were discovered in quantum mechanics in the c

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::38273280df7e27089d4fffd2b8de3cf1
https://doi.org/10.1090/bproc/159

Commutators of maximal functions on spaces of homogeneous type and their weighted, local versions

Autor: Zunwei Fu, Qingyan Wu, Elodie Pozzi

Publikováno v: Frontiers of Mathematics in China. 17:625-652

We obtain the characterizations of commutators of several versions of maximal functions on spaces of homogeneous type. In addition, with the aid of interpolation theory, we provide weighted version of the commutator theorems by establishing new chara

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::107a9d42b4ada8d851b315d88d830682
https://doi.org/10.1007/s11464-021-0912-y

Recent Progress in Function Theory and Operator Theory

Autor: Alberto A. Condori, Elodie Pozzi, William T. Ross, Alan A. Sola

This volume contains the proceedings of the AMS Special Session on Recent Progress in Function Theory and Operator Theory, held virtually on April 6, 2022. Function theory is a classical subject that examines the properties of individual elements in

Persistence of superoscillations under the Schrödinger equation

Autor: Elodie Pozzi, Brett D. Wick

Publikováno v: Evolution Equations and Control Theory. 11:869

The goal of this paper is to provide new proofs of the persistence of superoscillations under the Schrödinger equation. Superoscillations were first put forward by Aharonov and have since received much study because of connections to physics, engine

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::8e4d48cdcbb1e797388718304b7e6c6f
https://doi.org/10.3934/eect.2021029

Lower bounds for the dyadic Hilbert transform

Autor: Brett D. Wick, Elodie Pozzi, Philippe Jaming

Publikováno v: Annales de la Faculté des Sciences de Toulouse. Mathématiques.
Annales de la Faculté des Sciences de Toulouse. Mathématiques., Université Paul Sabatier _ Cellule Mathdoc 2018, 27, pp.265-284

In this paper, we seek lower bounds of the dyadic Hilbert transform (Haar shift) of the form $\left\Vert S f\right\Vert_{L^2(K)}\geq C(I,K)\left\Vert f\right\Vert_{L^2(I)}$ where $I$ and $K$ are two dyadic intervals and $f$ supported in $I$. If $I\su

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9e650465012ab2f5e836f21c17e8da5e
https://hal.archives-ouvertes.fr/hal-01317117