Madelyne M. Brown

activity

20172025

collaborators

3 papers

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 $…

math.AP2022

On the growth of generalized Fourier coefficients of restricted eigenfunctions

Madelyne M. Brown

Let $(M, g)$ be a smooth, compact, Riemannian manifold and ${ϕ_{h}}$ a sequence of $L^{2}$ -normalized Laplace eigenfunctions on $M$ . For a smooth submanifold $H \subset M$ , we consider…

math.CV2017

Spectrum of the Kohn Laplacian on the Rossi sphere

Tawfik Abbas, Madelyne M. Brown, Ravikumar Ramasami +1

We study the spectrum of the Kohn Laplacian $□_{b}^{t}$ on the Rossi example $(S^{3}, L_{t})$ . In particular we show that $0$ is in the essential spectrum of $\squ…

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

On the growth of generalized Fourier coefficients of restricted eigenfunctions

Spectrum of the Kohn Laplacian on the Rossi sphere

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