Zobrazeno 1 - 10
of 1 941
pro vyhledávání: '"delgado, Julio"'
We link Sogge's type $L^p$-estimates for eigenfunctions of the Laplacian on compact manifolds with the problem of providing criteria for the $r$-nuclearity of Fourier integral operators. The classes of Fourier integral operators $I^\mu_{\rho,1-\rho}(
Externí odkaz:
http://arxiv.org/abs/2408.06833
In this paper we establish the well-posedness of the Cauchy problem for a class of pseudo-differential hyperbolic equations on the torus. The class considered here includes a space-like fractional order Laplacians. By applying the toroidal pseudo-dif
Externí odkaz:
http://arxiv.org/abs/2406.05973
In this work we consider the semigroup $e^{-t\mathcal{A}_{k,\,\ell}^{\gamma}}$ for $\gamma>0$ associated to an anharmonic oscillator of the form $ \mathcal{A}_{k,\,\ell}=(-\Delta)^{\ell}+|x|^{2k}$ where $k,\ell$ are integers $\geq 1$. By introducing
Externí odkaz:
http://arxiv.org/abs/2401.13750
We establish the $L^p$-$L^q$-boundedness of subelliptic pseudo-differential operators on a compact Lie group $G$. Effectively, we deal with the $L^p$-$L^q$-bounds for operators in the sub-Riemmanian setting because the subelliptic classes are associa
Externí odkaz:
http://arxiv.org/abs/2310.16247
In this work we investigate a class of degenerate Schr\"odinger equations associated to degenerate elliptic operators with irregular potentials on $\Ran$ by introducing a suitable H\"ormander metric $g$ and a $g$-weight $m$. We establish the well-pos
Externí odkaz:
http://arxiv.org/abs/2302.02413
Let $A$ and $B$ be invariant linear operators with respect to a decomposition $\{H_{j}\}_{j\in \mathbb{N}}$ of a Hilbert space $\mathcal{H}$ in subspaces of finite dimension. We give necessary and sufficient conditions for the controllability of the
Externí odkaz:
http://arxiv.org/abs/2301.08999
In this note we reformulate the spectral side of the Weyl law in the language of the matrix-valued quantisation on compact Lie groups.
Comment: 17 Pages. To appear in J. Lie Theory
Comment: 17 Pages. To appear in J. Lie Theory
Externí odkaz:
http://arxiv.org/abs/2210.00311
Estimates for sums of eigenfunctions of elliptic pseudo-differential operators on compact Lie groups
We extend the estimates proved by Donnelly and Fefferman and by Lebeau and Robbiano for sums of eigenfunctions of the Laplacian (on a compact manifold) to estimates for sums of eigenfunctions of any positive and elliptic pseudo-differential operator
Externí odkaz:
http://arxiv.org/abs/2209.12092