Add to ORKGAbstract. We establish Lq bounds on eigenfunctions, and more generally on spec-trally localized functions (spectral clusters), associated to a self-adjoint elliptic opera-tor on a compact manifold, under the assumption that the coefficients of the operator are of regularity Cs, where 0 ≤ s ≤ 1. We also produce examples which show that these bounds are best possible for the case q =∞, and for 2 ≤ q ≤ qn. 1
AbstractIn this paper we study the (Lp, L2) mapping properties of a spectral projection operator for...
ABSTRACT. We prove sharp bounds on eigenvalues of the Laplacian that complement the Faber–Krahn and ...
We prove sharp L-2 boundary decay estimates for the eigenfunctions of certain second order elliptic ...
Abstract. We establish Lq bounds on eigenfunctions, and more generally on spectrally localized funct...
Abstract. We use microlocal and paradifferential techniques to obtain L8 norm bounds for spectral cl...
Abstract. We establish Lp bounds on L2 normalized spectral clusters for self-adjoint elliptic Dirich...
Abstract. We establish Lp bounds on L2 normalized spectral clusters for self-adjoint elliptic Dirich...
Abstract. In this paper, we establish Lp norm bounds for spectral clusters on com-pact manifolds, un...
Abstract. In this paper, we establish Lp norm bounds for spectral clusters on compact manifolds, und...
Abstract. We establish L2 → Lq mapping bounds for unit-width spectral projectors associated to ellip...
Abstract. We prove bilinear and trilinear estimates for the spectral cluster operator on two and thr...
We prove pointwise bounds for L2 eigenfunctions of the Laplace-Beltrami opera-tor on locally symmetr...
The purpose of this paper is to use semiclassical analysis to unify and generalize L p estimates on ...
We study stability of the sharp spectral gap bounds for metric-measure spaces satisfying a curvature...
It is well known that uniform resolvent estimates imply spectral cluster estimates. We show that the...
AbstractIn this paper we study the (Lp, L2) mapping properties of a spectral projection operator for...
ABSTRACT. We prove sharp bounds on eigenvalues of the Laplacian that complement the Faber–Krahn and ...
We prove sharp L-2 boundary decay estimates for the eigenfunctions of certain second order elliptic ...
Abstract. We establish Lq bounds on eigenfunctions, and more generally on spectrally localized funct...
Abstract. We use microlocal and paradifferential techniques to obtain L8 norm bounds for spectral cl...
Abstract. We establish Lp bounds on L2 normalized spectral clusters for self-adjoint elliptic Dirich...
Abstract. We establish Lp bounds on L2 normalized spectral clusters for self-adjoint elliptic Dirich...
Abstract. In this paper, we establish Lp norm bounds for spectral clusters on com-pact manifolds, un...
Abstract. In this paper, we establish Lp norm bounds for spectral clusters on compact manifolds, und...
Abstract. We establish L2 → Lq mapping bounds for unit-width spectral projectors associated to ellip...
Abstract. We prove bilinear and trilinear estimates for the spectral cluster operator on two and thr...
We prove pointwise bounds for L2 eigenfunctions of the Laplace-Beltrami opera-tor on locally symmetr...
The purpose of this paper is to use semiclassical analysis to unify and generalize L p estimates on ...
We study stability of the sharp spectral gap bounds for metric-measure spaces satisfying a curvature...
It is well known that uniform resolvent estimates imply spectral cluster estimates. We show that the...
AbstractIn this paper we study the (Lp, L2) mapping properties of a spectral projection operator for...
ABSTRACT. We prove sharp bounds on eigenvalues of the Laplacian that complement the Faber–Krahn and ...
We prove sharp L-2 boundary decay estimates for the eigenfunctions of certain second order elliptic ...