OOIR: Observatory of International Research

Papers

(The median citation count of Journal of Spectral Theory is 1. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2020-03-01 to 2024-03-01.)

Article	Citations
Essential self-adjointness of the wave operator and the limiting absorption principle on Lorentzian scattering spaces	15
Wildly perturbed manifolds: norm resolvent and spectral convergence	14
Improved Hardy and Hardy–Rellich type inequalities with Bessel pairs via factorizations	12
On operator error estimates for homogenization of hyperbolic systems with periodic coefficients	12
Direct and inverse problems for the nonlinear time-harmonic Maxwell equations in Kerr-type media	11
Matrix measures and finite rank perturbations of self-adjoint operators	9
Eigenvalues of singular measures and Connes’ noncommutative integration	9
On the Benjamin–Ono equation on $\mathbb{T}$ and its periodic and quasiperiodic solutions	8
Uniform hyperbolicity and its relation with spectral analysis of 1D discrete Schrödinger operators	8
Spectral analysis on Barlow and Evans’ projective limit fractals	8
Unique continuation and lifting of spectral band edges of Schrödinger operators on unbounded domains	7
On a continuum limit of discrete Schrödinger operators on square lattice	7
Recovery of time-dependent coefficients from boundary data for hyperbolic equations	7
Semiclassical resolvent bound for compactly supporte $L^\infty$ potentials	6
On Lieb–Thirring inequalities for one-dimensional non-self-adjoint Jacobi and Schrödinger operators	6
Exponential dynamical localization in expectation for the one dimensional Anderson model	6
Invariant subspaces of elliptic systems II: Spectral theory	6
Self-adjointness of two-dimensional Dirac operators on corner domains	6
Tingley's problem for $p$-Schatten von Neumann classes	6
Mixed data in inverse spectral problems for the Schrödinger operators	6
Lowest energy band function for magnetic steps	5
A pair of commuting hypergeometric operators on the complex plane and bispectrality	5
Berezin–Toeplitz quantization associated with higher Landau levels of the Bochner Laplacian	5
Eigenvalue estimates for the one-particle density matrix	5
Range characterizations and Singular Value Decomposition of the geodesic X-ray transform on disks of constant curvature	4

Quantum graphs on radially symmetric antitrees	4
Reconstruction and solvability for discontinuous Hochstadt–Lieberman problems	4
The Hartree functional in a double well	4
Boundary superconductivity in the BCS Model	4
Calderón problem for Yang–Mills connections	4
The Dirichlet-to-Neumann map, the boundary Laplacian, and Hörmander’s rediscovered manuscript	4
Efficiency and localisation for the first Dirichlet eigenfunction	4
Schrödinger trace invariants for homogeneous perturbations of the harmonic oscillator	3
Bounds on orthogonal polynomials and separation of their zeros	3
Oscillation theory and semibounded canonical systems	3
Quantum evolution and sub-Laplacian operators on groups of Heisenberg type	3
Existence of metrics maximizing the first eigenvalue on non-orientable surfaces	3
Jordan chains of elliptic partial differential operators and Dirichlet-to-Neumann maps	3
Jacobi matrices on trees generated by Angelesco systems: asymptotics of coefficients and essential spectrum	3
Integral representations of isotropic semiclassical functions and applications	3
The anisotropic Calderón problem for singular metrics of warped product type: the borderline between uniqueness and invisibility	3
Generic symmetric matrix pencils with bounded rank	3
Perturbation determinants and discrete spectra of semi-infinite non-self-adjoint Jacobi operators	3
Spectral characteristics of Schrödinger operators generated by product systems	3
Factorizations and Hardy–Rellich inequalities on stratified groups	3
Weighted composition operators in functional Banach spaces: an axiomatic approach	3
A semiclassical Birkhoff normal form for symplectic magnetic wells	3
Upper eigenvalue bounds for the Kirchhoff Laplacian on embedded metric graphs	3
Coexistence of absolutely continuous and pure point spectrum for kicked quasiperiodic potentials	3
The $L^p$ boundedness of the wave operators for matrix Schrödinger equations	3
On the asymptotic behaviour of solutions of the Dirac system and applications to the Sturm–Liouville problem with a singular potential	3
Weyl sums and the Lyapunov exponent for the skew-shift Schrödinger cocycle	2
The BFK-gluing formula and the curvature tensors on a 2-dimensional compact hypersurface	2
Spectral statistics for Anderson models with sporadic potentials	2
Maximizing the ratio of eigenvalues of non-homogeneous partially hinged plates	2
Uniform resolvent estimates for the discrete Schrödinger operator in dimension three	2
A universality law for sign correlations of eigenfunctions of differential operators	2
Steklov and Robin isospectral manifolds	2
Eigenfunctions and the integrated density of states on Archimedean tilings	2
Trace class properties of the non homogeneous linear Vlasov–Poisson equation in dimension 1+1	2
Spectral shift via “lateral” perturbation	2
Exponential lower resolvent bounds far away from trapped sets	2
Fine dimensional properties of spectral measures	2
Spectral isoperimetric inequalities for Robin Laplacians on 2-manifolds and unbounded cones	2
On the semiclassical Laplacian with magnetic field having self-intersecting zero set	2
Spectral decimation of piecewise centrosymmetric Jacobi operators on graphs	2
Spectral invariants of Dirichlet-to-Neumann operators on surfaces	2
On the spectrum of the periodic focusing Zakharov–Shabat operator	2
Construction of quasimodes for non-selfadjoint operators via propagation of Hagedorn wave-packets	1
Semiclassical study of shape resonances in the Stark effect	1
Invertibility issues for a class of Wiener–Hopf plus Hankel operators	1
Spectral shift for relative Schatten class perturbations	1
Complete asymptotic expansions of the spectral function for symbolic perturbations of almost periodic Schrödinger operators in dimension one	1
A comparison between Neumann and Steklov eigenvalues	1
A proof of the triangular Ashbaugh–Benguria–Payne–Pólya–Weinberger inequality	1

The density of states of 1D random band matrices via a supersymmetric transfer operator	1
Cheeger estimates of Dirichlet-to-Neumann operators on infinite subgraphs of graphs	1
Exponential moments for disk counting statistics at the hard edge of random normal matrices	1
On the spectral properties of the Hilbert transform operator on multi-intervals	1
Semiclassical Gevrey operators and magnetic translations	1
Universal regularity of higher-dimensional disorder and density of states under non-local interactions. I. Infinite smoothness and localization	1
Distinguished self-adjoint extension and eigenvalues of operators with gaps. Application to Dirac–Coulomb operators	1
Isospectrum of non-self-adjoint almost-periodic Schrödinger operators	1
Fractional Calderón problems and Poincaré inequalities on unbounded domains	1
Szegő’s theorem for canonical systems: the Arov gauge and a sum rule	1
Nodal line estimates for the second Dirichlet eigenfunction	1
Resolvent of the generator of the $C_0$-group with non-basis family of eigenvectors and sharpness of the XYZ theorem	1
Isospectral reduction in infinite graphs	1
Lieb–Thirring inequalities for an effective Hamiltonian of bilayer graphene	1
On the first trace formula for Schrödinger operators	1
Coverings preserving the bottom of the spectrum	1
Decorrelation estimates for random Schrödinger operators with non rank one perturbations	1
Spectral analysis of 2D outlier layout	1
Maximal estimates for the Fokker–Planck operator with magnetic field	1
On the spectrum of critical almost Mathieu operators in the rational case	1
Absence of excited eigenvalues for Fröhlich type polaron models at weak coupling	1
On essential self-adjointness for first order differential operators on domains in $\mathbb R^d$	1
Scaling inequalities for spherical and hyperbolic eigenvalues	1
On inverse problems arising in fractional elasticity	1
A sharp isoperimetric inequality for the second eigenvalue of the Robin plate	1
$L^p$-bounds for semigroups generated by non-elliptic quadratic differential operators	1
Asymptotics of Robin eigenvalues on sharp infinite cones	1
Inequalities between Neumann and Dirichlet eigenvalues of Schrödinger operators	1
Carleman estimate for complex second order elliptic operators with discontinuous Lipschitz coefficients	1
The massless Dirac equation in two dimensions: zero-energy obstructions and dispersive estimates	1
Bound states of a pair of particles on the half-line with a general interaction potential	1
Heat content estimates for the fractional Schrödinger operator $(-\Delta)^\frac {\alpha}{2} + c1_{\Omega}, c > 0$	1
Propagation of polyhomogeneity, diffraction, and scattering on product cones	1
Weyl asymptotics for Poincaré–Steklov eigenvalues in a domain with Lipschitz boundary	1