Melissa Tacy

collaborators

2 papers

math.CA2025

The principle of simultaneous saturation: Application to the $k$ -linear restriction/extension problem

Melissa Tacy

This paper develops a new framework, \emph{simultaneous saturation}, designed to quantify the size of sets whose elements are simultaneously large. The framework establishes a corr…

math.AP2025

$L^{p}$ estimates for joint quasimodes of two pseudodifferential operators whose characteristic sets have $k$ -th order contact

Madelyne M. Brown, Melissa Tacy

On a smooth, compact, $n$ -dimensional Riemannian manifold, we consider functions $u_{h}$ that are joint quasimodes of two semiclassical pseudodifferential operators $p_{1} (x, h D)$ and $…

The principle of simultaneous saturation: Application to the k-linear restriction/extension problem

Lp estimates for joint quasimodes of two pseudodifferential operators whose characteristic sets have k-th order contact

The principle of simultaneous saturation: Application to the $k$ -linear restriction/extension problem

$L^{p}$ estimates for joint quasimodes of two pseudodifferential operators whose characteristic sets have $k$ -th order contact