We prove essentially optimal bounds for norms of spectral projectors on thin spherical shells for the Laplacian on the cylinder (R/Z)*R. In contrast to previous investigations into spectral projectors on tori, having one unbounded dimension available permits a compact self-contained proof
We obtain estimates for convergence rates of the eigenelements (λ", u") for the Laplace operator in ...
AbstractIn this note we prove that the ball is a maximiser for integer order Schatten p-norms of the...
We prove on the sphere S 2 and on the torus T 2 the Lieb– Thirring inequalities with improved consta...
We prove essentially optimal bounds for norms of spectral projectors on thin spherical shells for th...
We investigate norms of spectral projectors on thin spherical shells for the Laplacian on tori. This...
We generalize the L^p spectral cluster bounds of Sogge for the Laplace–Beltrami operator on compact ...
We propose a conjecture for long time Strichartz estimates on generic (non-rectangular) flat tori. W...
We prove L^p→L^p′ bounds for the resolvent of the Laplace–Beltrami operator on a compact Riemannian ...
We investigate norms of spectral projectors on thin spherical shells for the Laplacian on generic to...
It is shown that the fundamental solution to the Schrödinger equation on a d-dimensional sphere has ...
Under weak conditions on the kernels, we obtain sharp Lp bounds for rough parabolic maximal integral...
In this note we prove that the ball is a maximiser for integer order Schatten p-norms of the Riesz p...
AbstractThe author establishes the Lp boundedness for a class of maximal functions related to singul...
We prove sharp Lieb-Thirring inequalities for Schrödinger operators with potentials supported on a h...
We prove a maximal Fourier restriction theorem for hypersurfaces in (mathbb{R}^{d}) for any dimensio...
We obtain estimates for convergence rates of the eigenelements (λ", u") for the Laplace operator in ...
AbstractIn this note we prove that the ball is a maximiser for integer order Schatten p-norms of the...
We prove on the sphere S 2 and on the torus T 2 the Lieb– Thirring inequalities with improved consta...
We prove essentially optimal bounds for norms of spectral projectors on thin spherical shells for th...
We investigate norms of spectral projectors on thin spherical shells for the Laplacian on tori. This...
We generalize the L^p spectral cluster bounds of Sogge for the Laplace–Beltrami operator on compact ...
We propose a conjecture for long time Strichartz estimates on generic (non-rectangular) flat tori. W...
We prove L^p→L^p′ bounds for the resolvent of the Laplace–Beltrami operator on a compact Riemannian ...
We investigate norms of spectral projectors on thin spherical shells for the Laplacian on generic to...
It is shown that the fundamental solution to the Schrödinger equation on a d-dimensional sphere has ...
Under weak conditions on the kernels, we obtain sharp Lp bounds for rough parabolic maximal integral...
In this note we prove that the ball is a maximiser for integer order Schatten p-norms of the Riesz p...
AbstractThe author establishes the Lp boundedness for a class of maximal functions related to singul...
We prove sharp Lieb-Thirring inequalities for Schrödinger operators with potentials supported on a h...
We prove a maximal Fourier restriction theorem for hypersurfaces in (mathbb{R}^{d}) for any dimensio...
We obtain estimates for convergence rates of the eigenelements (λ", u") for the Laplace operator in ...
AbstractIn this note we prove that the ball is a maximiser for integer order Schatten p-norms of the...
We prove on the sphere S 2 and on the torus T 2 the Lieb– Thirring inequalities with improved consta...
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