We prove on the sphere S 2 and on the torus T 2 the Lieb– Thirring inequalities with improved constants for orthonormal families of scalar and vector functions
We evaluate the variance of the number of lattice points in a small randomly rotated spherical ball ...
We give a Cwikel–Lieb–Rozenblum type bound on the number of bound states of Schrödinger operators wi...
Inequalities are derived for power sums of the real part and the modulus of the eigenvalues of a Sch...
In this paper, we mainly study the Lieb-Thirring inequality for families of orthonormal scalar funct...
We generalize the theorems of Stein-Tomas and Strichartz about surface restrictions of Fourier trans...
We give a short and unified proof of Hardy-Lieb-Thirring inequalities for moments of eigenvalues of ...
We prove sharp Lieb-Thirring inequalities for Schrödinger operators with potentials supported on a h...
This review celebrates the generous gift by Ronald and Maxine Linde for the remodeling of the Caltec...
In this paper we disprove a conjecture of Lieb and Thirring concerning the best constant in their ep...
AbstractWe consider the incompressible Euler or Navier–Stokes (NS) equations on a d-dimensional toru...
We prove Berezin–Li–Yau inequalities for the Dirichlet and Neumann eigenvalues on domains on the sph...
AbstractThe best approximation of functions in Lp(Sd−1),0<p<1 by spherical harmonic polynomials is s...
We prove essentially optimal bounds for norms of spectral projectors on thin spherical shells for th...
We generalize the L^p spectral cluster bounds of Sogge for the Laplace–Beltrami operator on compact ...
AbstractWe give existence results for solutions of the prescribed scalar curvature equation on S3, w...
We evaluate the variance of the number of lattice points in a small randomly rotated spherical ball ...
We give a Cwikel–Lieb–Rozenblum type bound on the number of bound states of Schrödinger operators wi...
Inequalities are derived for power sums of the real part and the modulus of the eigenvalues of a Sch...
In this paper, we mainly study the Lieb-Thirring inequality for families of orthonormal scalar funct...
We generalize the theorems of Stein-Tomas and Strichartz about surface restrictions of Fourier trans...
We give a short and unified proof of Hardy-Lieb-Thirring inequalities for moments of eigenvalues of ...
We prove sharp Lieb-Thirring inequalities for Schrödinger operators with potentials supported on a h...
This review celebrates the generous gift by Ronald and Maxine Linde for the remodeling of the Caltec...
In this paper we disprove a conjecture of Lieb and Thirring concerning the best constant in their ep...
AbstractWe consider the incompressible Euler or Navier–Stokes (NS) equations on a d-dimensional toru...
We prove Berezin–Li–Yau inequalities for the Dirichlet and Neumann eigenvalues on domains on the sph...
AbstractThe best approximation of functions in Lp(Sd−1),0<p<1 by spherical harmonic polynomials is s...
We prove essentially optimal bounds for norms of spectral projectors on thin spherical shells for th...
We generalize the L^p spectral cluster bounds of Sogge for the Laplace–Beltrami operator on compact ...
AbstractWe give existence results for solutions of the prescribed scalar curvature equation on S3, w...
We evaluate the variance of the number of lattice points in a small randomly rotated spherical ball ...
We give a Cwikel–Lieb–Rozenblum type bound on the number of bound states of Schrödinger operators wi...
Inequalities are derived for power sums of the real part and the modulus of the eigenvalues of a Sch...