OOIR: Observatory of International Research

Papers

(The TQCC of Journal of Spectral Theory is 2. 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 2020-11-01 to 2024-11-01.)

Article	Citations
On operator error estimates for homogenization of hyperbolic systems with periodic coefficients	17
Wildly perturbed manifolds: norm resolvent and spectral convergence	16
Direct and inverse problems for the nonlinear time-harmonic Maxwell equations in Kerr-type media	15
Improved Hardy and Hardy–Rellich type inequalities with Bessel pairs via factorizations	13
Recovery of time-dependent coefficients from boundary data for hyperbolic equations	12
On the Benjamin–Ono equation on $\mathbb{T}$ and its periodic and quasiperiodic solutions	10
Uniform hyperbolicity and its relation with spectral analysis of 1D discrete Schrödinger operators	10
Eigenvalues of singular measures and Connes’ noncommutative integration	9
Spectral analysis on Barlow and Evans’ projective limit fractals	8
Invariant subspaces of elliptic systems II: Spectral theory	8
On a continuum limit of discrete Schrödinger operators on square lattice	8
Mixed data in inverse spectral problems for the Schrödinger operators	7
Self-adjointness of two-dimensional Dirac operators on corner domains	7
Berezin–Toeplitz quantization associated with higher Landau levels of the Bochner Laplacian	7
Lowest energy band function for magnetic steps	7
Quantum evolution and sub-Laplacian operators on groups of Heisenberg type	6
Quantum graphs on radially symmetric antitrees	6
A pair of commuting hypergeometric operators on the complex plane and bispectrality	6
On Lieb–Thirring inequalities for one-dimensional non-self-adjoint Jacobi and Schrödinger operators	6
The Dirichlet-to-Neumann map, the boundary Laplacian, and Hörmander’s rediscovered manuscript	6
A semiclassical Birkhoff normal form for symplectic magnetic wells	6
Factorizations and Hardy–Rellich inequalities on stratified groups	5
Eigenvalue estimates for the one-particle density matrix	5
Jacobi matrices on trees generated by Angelesco systems: asymptotics of coefficients and essential spectrum	5
The Hartree functional in a double well	4

Boundary superconductivity in the BCS Model	4
Existence of metrics maximizing the first eigenvalue on non-orientable surfaces	4
Reconstruction and solvability for discontinuous Hochstadt–Lieberman problems	4
Upper eigenvalue bounds for the Kirchhoff Laplacian on embedded metric graphs	4
The $L^p$ boundedness of the wave operators for matrix Schrödinger equations	4
Efficiency and localisation for the first Dirichlet eigenfunction	4
Oscillation theory and semibounded canonical systems	3
Spectral characteristics of Schrödinger operators generated by product systems	3
Jordan chains of elliptic partial differential operators and Dirichlet-to-Neumann maps	3
Schrödinger trace invariants for homogeneous perturbations of the harmonic oscillator	3
Exponential moments for disk counting statistics at the hard edge of random normal matrices	3
Coexistence of absolutely continuous and pure point spectrum for kicked quasiperiodic potentials	3
Perturbation determinants and discrete spectra of semi-infinite non-self-adjoint Jacobi operators	3
Maximizing the ratio of eigenvalues of non-homogeneous partially hinged plates	3
Bounds on orthogonal polynomials and separation of their zeros	3
Integral representations of isotropic semiclassical functions and applications	3
Fractional Calderón problems and Poincaré inequalities on unbounded domains	3
Range characterizations and Singular Value Decomposition of the geodesic X-ray transform on disks of constant curvature	3
Szegő’s theorem for canonical systems: the Arov gauge and a sum rule	3
Spectral decimation of piecewise centrosymmetric Jacobi operators on graphs	3
On the spectrum of the periodic focusing Zakharov–Shabat operator	3
Isospectrum of non-self-adjoint almost-periodic Schrödinger operators	2
Gelfand’s inverse problem for the graph Laplacian	2
Cheeger estimates of Dirichlet-to-Neumann operators on infinite subgraphs of graphs	2
Spectral isoperimetric inequalities for Robin Laplacians on 2-manifolds and unbounded cones	2
On the spectral properties of the Hilbert transform operator on multi-intervals	2
A sharp isoperimetric inequality for the second eigenvalue of the Robin plate	2
On the first trace formula for Schrödinger operators	2
Spectral invariants of Dirichlet-to-Neumann operators on surfaces	2
Pauli Hamiltonians with an Aharonov–Bohm flux	2
A universality law for sign correlations of eigenfunctions of differential operators	2
Fine dimensional properties of spectral measures	2
On inverse problems arising in fractional elasticity	2
Bound states of a pair of particles on the half-line with a general interaction potential	2
Spectrum of the semi-relativistic Pauli–Fierz model II	2
Trace class properties of the non homogeneous linear Vlasov–Poisson equation in dimension 1+1	2
Inequalities between Neumann and Dirichlet eigenvalues of Schrödinger operators	2
Remarks on discrete Dirac operators and their continuum limits	2
Maximal estimates for the Fokker–Planck operator with magnetic field	2
Semiclassical study of shape resonances in the Stark effect	2
Steklov and Robin isospectral manifolds	2
The $L^{p}$-boundedness of wave operators for fourth order Schrödinger operators on $\R^{4}$	2
Eigenfunctions and the integrated density of states on Archimedean tilings	2
On the spectrum of critical almost Mathieu operators in the rational case	2
Spectral shift via “lateral” perturbation	2
The massless Dirac equation in two dimensions: zero-energy obstructions and dispersive estimates	2
Uniform resolvent estimates for the discrete Schrödinger operator in dimension three	2
The harmonic $H^{\infty}$-functional calculus based on the $S$-spectrum	2