Counting bound states with maximal Fourier multipliers
type: Item
instance of: scholarly article
title: Counting bound states with maximal Fourier multipliers
zbMATH Open document ID: 1479.35583
DOI: 10.4171/ECR/18-1/11
author: Dirk Hundertmark
author: Peer Christian Kunstmann
author: Tobias Ried
author: Semjon A. Vugalter
publication date: 2021-12-03T00:00:00Z
review text: Summary: We report on a version of Cwikel's proof of the famous Cwikel-Lieb-Rozenblum (CLR) inequality which highlights the connection of the CLR inequality to maximal Fourier multipliers. This new approach enables us to get a constant at least ten times better than Cwikels in all dimensions. In dimensions \(d\geq 5\) our results are better than all previously known ones. For the entire collection see [Zbl 1465.35005].
Mathematics Subject Classification ID: 35P15
Mathematics Subject Classification ID: 35J10
Mathematics Subject Classification ID: 81Q10
zbMATH DE Number: 7438893
zbMATH Keywords: CLR inequality
zbMATH Keywords: bound states
zbMATH Keywords: maximal Fourier multipliers
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.4171/ecr/18-1/11
OpenAlex ID: W4251439671
description: scientific article; zbMATH DE number 7438893