English
Related papers

Related papers: Microlocal lifts of eigenfunctions on hyperbolic s…

200 papers

In this paper we present an iterative method, inspired by the inverse iteration with shift technique of finite linear algebra, designed to find the eigenvalues and eigenfunctions of the Laplacian with homogeneous Dirichlet boundary…

Spectral Theory · Mathematics 2012-08-02 Rodney Josué Biezuner , Grey Ercole , Breno Loureiro Giacchini , Eder Marinho Martins

$\mathfrak{L}_{II}$ operator is introduced by Y.-L. Xin (\emph{Calculus of Variations and Partial Differential Equations. 2015, \textbf{54}(2):1995-2016)}, which is an important extrinsic elliptic differential operator of divergence type…

Differential Geometry · Mathematics 2021-01-21 Lingzhong Zeng

We review some recent results on eigenvalues of fractional Laplacians and fractional Schr\"odinger operators. We discuss, in particular, Lieb-Thirring inequalities and their generalizations, as well as semi-classical asymptotics.

Spectral Theory · Mathematics 2017-11-07 Rupert L. Frank

We present the theory of pseudodifferential operators acting on a vector orbibundle over an orbifold, construct the zeta function of an elliptic pseudodifferential operator and show the existence of a meromorphic extension to the complex…

Differential Geometry · Mathematics 2007-05-23 Bogdan Bucicovschi

In this short note we review some facts about elliptic differential operators on Riemannian manifolds.

Analysis of PDEs · Mathematics 2011-06-22 David Raske

We describe a highly efficient numerical scheme for finding two-sided bounds for the eigenvalues of the fractional Laplace operator (-Delta)^{alpha/2} in the unit ball D in R^d, with a Dirichlet condition in the complement of D. The…

Analysis of PDEs · Mathematics 2017-05-17 Bartłomiej Dyda , Alexey Kuznetsov , Mateusz Kwaśnicki

We develop an $L^p(\mathbb{R}^n)$-functional calculus appropriated for interpreting "non-classical symbols" of the form $a(-\Delta)$, and for proving existence in $L^q(\mathbb{R}^n)$, some $q > p$, of solutions to nonlinear…

Analysis of PDEs · Mathematics 2018-07-18 Mauricio Bravo , Humberto Prado , Enrique G. Reyes

One of the unexplored benefits of studying layer potentials on smooth, closed hypersurfaces of Euclidean space is the factorization of the Neumann-Poincar\'e operator into a product of two self-adjoint transforms. Resurrecting some…

Analysis of PDEs · Mathematics 2024-03-29 Kazunori Ando , Hyeonbae Kang , Yoshihisa Miyanishi , Mihai Putinar

We describe a new method to estimate the trilinear period on automorphic representations of PGL(2,R). Such a period gives rise to a special value of the triple L-function. We prove a bound for the triple period which amounts to a…

Number Theory · Mathematics 2010-03-26 Joseph Bernstein , Andre Reznikov

Using a combination of the ladder operators of Pina [Rev. Mex. Fis. 41 (1995) 913] and the parametric operators of Mielnik [J. Math. Phys. 25 (1984) 3387] we introduce second order linear differential equations whose eigenfunctions are…

Mathematical Physics · Physics 2007-05-23 M. A. Reyes , D. Jimenez , H. C. Rosu

Let $X$ be a compact connected orientable hyperbolic surface and let $X_n$ be a degree $n$ random cover. We show that, with high probability, the distribution of eigenvalues of the Laplacian on $X_n$ converges to the spectral measure of the…

Spectral Theory · Mathematics 2026-03-27 Elena Kim , Zhongkai Tao

In this article we introduce a new type of local zeta functions and study some connections with pseudodifferential operators in the framework of non-Archimedean fields. The new local zeta functions are defined by integrating complex powers…

Number Theory · Mathematics 2017-04-27 W. A. Zúñiga-Galindo

For $\mathbb{B}^n$ the $n$-dimensional unit ball and $D_n$ its Siegel unbounded realization, we consider Toeplitz operators acting on weighted Bergman spaces with symbols invariant under the actions of the maximal Abelian subgroups of…

Functional Analysis · Mathematics 2024-04-24 Raul Quiroga-Barranco , Armando Sanchez-Nungaray

Starting from the Wess-Zumino action associated to the super Weyl anomaly, we determine the local counterterm which allows to pass from this anomaly to the chirally split superdiffeomorphism anomaly (as defined on a compact super Riemann…

High Energy Physics - Theory · Physics 2010-04-06 Jean-Pierre Ader , Francois Gieres , Yves Noirot

Let $\pi$ be an irreducible admissible representation of $GL_m(F)$, where $F$ is a non-archimedean local field of characteristic zero. We follow the method developed by Cogdell and Piatetski-Shapiro to complete the computation of the local…

Number Theory · Mathematics 2018-04-13 Yeongseong Jo

The aim of this work is to develop a global calculus for pseudo-differential operators acting on suitable algebras of generalized functions. In particular, a condition of global hypoellipticity of the symbols gives a result of regularity…

Analysis of PDEs · Mathematics 2007-05-23 Claudia Garetto

We examine spectra of Dirac operators on compact hyperbolic surfaces. Particular attention is devoted to symmetry considerations, leading to non-trivial multiplicities of eigenvalues. The relation to spectra of Maass-Laplace operators is…

Mathematical Physics · Physics 2007-05-23 Jens Bolte , Hans-Michael Stiepan

We discuss some basic properties of the eigenfunctions of a class of nonlocal operators whose model is the fractional p-Laplacian.

Analysis of PDEs · Mathematics 2013-07-09 Giovanni Franzina , Giampiero Palatucci

We investigate the SL(2,R) invariant geodesic curves with the as- sociated invariant distance function in parabolic geometry. Parabolic geom- etry naturally occurs in the study of SL(2,R) and is placed in between the elliptic and the…

Metric Geometry · Mathematics 2013-02-19 Anastasia V. Kisil

This paper has been withdrawn by the authors. A class of pseudodifferential operators on the Heisenberg group is defined. As it should be, this class is an algebra containing the class of differential operators. Furthermore, those…

Analysis of PDEs · Mathematics 2013-03-01 Hajer Bahouri , Clotilde Fermanian-Kammerer , Isabelle Gallagher
‹ Prev 1 3 4 5 6 7 10 Next ›