Madelyne M. Brown

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20172025

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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…

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

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