Remarks on the Cwikel-Lieb-Rozenblum and Lieb-Thirring estimates for Schrödinger operators on Riemannian manifolds

DOI10.1007/s10440-009-9519-0zbMath1192.58018OpenAlexW1991890521WikidataQ115384838 ScholiaQ115384838MaRDI QIDQ970525

César Poupaud, El Maati Ouhabaz

Publication date: 19 May 2010

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-009-9519-0

zbMATH Keywords

Laplace-Beltrami operatorLaplaciancomplete Riemannian manifoldCwikel-Lieb-Rozenblum estimatesLieb-Thirring estimatesRozenblum-Solomyak estimate

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Laplace transform (44A10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Vector-valued measures and integration (46G10) Radon-Nikodým, Kre?n-Milman and related properties (46B22)

Related Items (1)

\(L_p\)-spectrum and Lieb-Thirring inequalities for Schrödinger operators on the hyperbolic plane

Cites Work

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