E. Mcdonald

activity

20182022

most citedSemiclassical Weyl law and exact spectral asymptotics in noncommutative geometry

4 citations · 4 across the 5 of their papers we have counts for

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math.FA2022

Spectral estimates and asymptotics for stratified Lie groups

Edward McDonald, Fedor Sukochev, Dmitriy Zanin

We study Cwikel-type estimates for the singular values and Schatten $L_{p}$ -norms of compositions of multiplication and convolution operators acting on stratified Lie group…

math.FA2021

Necessary and sufficient conditions for $n$ -times Fréchet differentiability on $S^{p},$ $1 < p < \infty.$

Christian Le Merdy, Edward McDonald

Let $1 < p < \infty$ and let $n \geq 1$ . It is proved that a function $f : R \to C$ is $n$ -times Fréchet differentiable on $S^{p}$ at every self-adjoint operat…

Spectral estimates and asymptotics for stratified Lie groups

Necessary and sufficient conditions for n-times Fréchet differentiability on Sp, 1<p<∞.

Necessary and sufficient conditions for $n$ -times Fréchet differentiability on $S^{p},$ $1 < p < \infty.$