hal.structure.identifier	Institut de Mathématiques de Bordeaux [IMB]
dc.contributor.author	DUBUISSON, Clément
dc.date.created	2015-02
dc.description.abstractEn	For $s>0$, let $H_0=(-\Delta)^s$ be the fractional Laplacian. In this paper, we obtainLieb-Thirring type inequalities for the fractional Schr\"odinger operator defined as $H=H_0+V$,where $V \in L^p(\mathbb{R}^d), p\ge 1, d\ge 1,$ is a complex-valued potential.Our methods are based on results of articles by Borichev-Golinskii-Kupin \cite{BoGoKu} and Hansmann \cite{Ha1}.
dc.language.iso	en
dc.subject.en	Fractional Schrödinger operator
dc.subject.en	complex perturbation
dc.subject.en	discrete spectrum
dc.subject.en	Lieb-Thirring type inequality
dc.subject.en	conformal mapping
dc.title.en	Notes on Lieb-Thirring type inequality for a complex perturbation of fractional Schrödinger operator.
dc.type	Document de travail - Pré-publication
dc.subject.hal	Mathématiques [math]/Théorie spectrale [math.SP]
dc.identifier.arxiv	1403.5116
hal.identifier	hal-00959766
hal.version	1
hal.origin.link	https://hal.archives-ouvertes.fr//hal-00959766v1
bordeaux.COinS	ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=DUBUISSON,%20Cl%C3%A9ment&rft.genre=preprint

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Notes on Lieb-Thirring type inequality for a complex perturbation of fractional Schrödinger operator.