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Hardy spaces, commutators of singular integral operators related to Schröding...
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Essential self-adjointness for combinatorial Schrödinger operators I- Metrica...
It is an English updated version of: " Laplaciens de graphes infinis I Graphes métriquement complets", Confluentes Mathematici (CM) 2, 3 (2010) 333--350. -
A survey of topics in analysis and partial differential equations II
International audience -
On the guided states of 3D biperiodic Schrödinger operators
International audience -
On the spectrum of the magnetic Schrödinger operator in a dihedral domain
This thesis analyses the spectrum of magnetic Schrödinger operators with constant magnetic field in dihedral domains. In order to understand how a curved edge... -
A Singular Critical Potential For The Schrödinger operator
We construct a potential $V$ on $\RR^d$, smooth away from one pole, and a sequence of quasi-modes for the operator $-\Delta+V$, which concentrate on this pole. No... -
A scenario for symmetry breaking in Caffarelli-Kohn-Nirenberg inequalities
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On weak$^*$-convergence in $H^1_L(\mathbb R^d)$
Let $L= -\Delta+ V$ be a Schrödinger operator on $\mathbb R^d$, $d\geq 3$, where $V$ is a nonnegative function, $V\ne 0$, and belongs to the reverse Hölder class... -
Upper bounds for eigenvalues of natural operators on compact Riemannian manif...
The purpose of this thesis is to find upper bounds for the eigenvalues of natural operators acting on functions on a compact Riemannian manifold $(M,g)$ such as the... -
Inverse scattering problem for a special class of canonical systems and non-l...
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Itô diffusions, modified capacity and harmonic measure. Applications to Schrö...
International audience -
Eigenvalues for a Schrodinger operator on a closed Riemannian manifold with h...
In this article we consider a closed Riemannian manifold (M,g) and A a subset of M. The purpose of this article is the comparison between the eigenvalues of a... -
Essential self-adjointness for combinatorial Schrödinger operators II- Metric...
Revisited version: Ognjen Milatovic wrote to us that he had discovered a gap in the proof of theorem 4.2 of our paper. As a consequence we propose to make an additional... -
Intertwining relations for one-dimensional diffusions and application to func...
International audience -
Spectral estimates on the sphere
In this article we establish optimal estimates for the first eigenvalue of Schrödinger operators on the d-dimensional unit sphere. These estimates depend on Lebsgue's... -
Semi-classical signal analysis
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Bilinear decompositions for the product space H1 X BMO and related problems
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Extremum Problems for Eigenvalues of Elliptic Operators
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