E. Mcdonald

activity

20182026

most citedSemiclassical Weyl law and exact spectral asymptotics in noncommutative geometry

4 citations · 4 across the 9 of their papers we have counts for

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Showing 2021Show all

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math-ph2021

The density of states depends on the domain

Nurulla Azamov, Edward McDonald, Dmitriy Zanin +1

In this short note we demonstrate that the definition of the density of states of a Schrödinger operator with bounded potential in general depends on the choice of the domain under…

math.OA2021★ 4 cited

Semiclassical Weyl law and exact spectral asymptotics in noncommutative geometry

Edward McDonald, Fedor Sukochev, Dmitriy Zanin

We prove a Tauberian theorem for singular values of noncommuting operators which allows us to prove exact asymptotic formulas in noncommutative geometry at a high degree of general…

math.CA2021

Estimates for Schur Multipliers and Double Operator Integrals -- A Wavelet Approach

Edward McDonald, Thomas Tzvi Scheckter, Fedor Sukochev

We discuss the work of Birman and Solomyak on the singular numbers of integral operators from the point of view of modern approximation theory, in particular with the use of wavele…

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…

The density of states depends on the domain

Semiclassical Weyl law and exact spectral asymptotics in noncommutative geometry

Estimates for Schur Multipliers and Double Operator Integrals -- A Wavelet Approach

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

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