24 citations · 108 across the 16 of their papers we have counts for
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math.CA2019
Improved Bounds for Hermite-Hadamard Inequalities in Higher Dimensions
Thomas Beck, Barbara Brandolini, Krzysztof Burdzy +5
Let be a convex domain and let be a positive, subharmonic function (i.e. ). Then $$ \frac{1}{|Ω|} \int_Ω{f dx} \leq \…
math.SP2019★ 19 cited
Two-term spectral asymptotics for the Dirichlet Laplacian in a Lipschitz domain
Rupert L. Frank, Simon Larson
We prove a two-term Weyl-type asymptotic formula for sums of eigenvalues of the Dirichlet Laplacian in a bounded open set with Lipschitz boundary. Moreover, in the case of a convex…
math-ph2019
Lieb-Thirring inequalities for wave functions vanishing on the diagonal set
Simon Larson, Douglas Lundholm, Phan Thành Nam
We propose a general strategy to derive Lieb-Thirring inequalities for scale-covariant quantum many-body systems. As an application, we obtain a generalization of the Lieb-Thirring…