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 2020-11-01 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
On a continuum limit of discrete Schrödinger operators on square lattice	8
Spectral analysis on Barlow and Evans’ projective limit fractals	8
Invariant subspaces of elliptic systems II: Spectral theory	8
Lowest energy band function for magnetic steps	7
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
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
Quantum evolution and sub-Laplacian operators on groups of Heisenberg type	6
Quantum graphs on radially symmetric antitrees	6
Eigenvalue estimates for the one-particle density matrix	5
Jacobi matrices on trees generated by Angelesco systems: asymptotics of coefficients and essential spectrum	5
Factorizations and Hardy–Rellich inequalities on stratified groups	5
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
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
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
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
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
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
Lieb–Thirring inequalities for an effective Hamiltonian of bilayer graphene	1
A proof of the triangular Ashbaugh–Benguria–Payne–Pólya–Weinberger inequality	1

$L^p$-bounds for semigroups generated by non-elliptic quadratic differential operators	1
Nodal domain theorems for $p$-Laplacians on signed graphs	1
Decorrelation estimates for random Schrödinger operators with non rank one perturbations	1
Spectral analysis of 2D outlier layout	1
Morse theory for discrete magnetic operators and nodal count distribution for graphs	1
Resolvent of the generator of the $C_0$-group with non-basis family of eigenvectors and sharpness of the XYZ theorem	1
Poisson transforms for trees of bounded degree	1
Asymptotics of Robin eigenvalues on sharp infinite cones	1
Invertibility issues for a class of Wiener–Hopf plus Hankel operators	1
Periodic Jacobi operators with complex coefficients	1
Scaling inequalities for spherical and hyperbolic eigenvalues	1
Carleman estimate for complex second order elliptic operators with discontinuous Lipschitz coefficients	1
Semiclassical Gevrey operators and magnetic translations	1
A comparison between Neumann and Steklov eigenvalues	1
Absence of excited eigenvalues for Fröhlich type polaron models at weak coupling	1
Counting eigenvalues of Schrödinger operators using the landscape function	1
Propagation of polyhomogeneity, diffraction, and scattering on product cones	1
Deformation of the spectrum for Darboux–Treibich–Verdier potential along $\operatorname{Re}\tau=\frac{1}{2}$	1
Complete asymptotic expansions of the spectral function for symbolic perturbations of almost periodic Schrödinger operators in dimension one	1
Construction of quasimodes for non-selfadjoint operators via propagation of Hagedorn wave-packets	1
Nodal line estimates for the second Dirichlet eigenfunction	1
Quantitative magnetic isoperimetric inequality	1
A Szegő type theorem and distribution of symplectic eigenvalues	1
The density of states of 1D random band matrices via a supersymmetric transfer operator	1
Coverings preserving the bottom of the spectrum	1
Distinguished self-adjoint extension and eigenvalues of operators with gaps. Application to Dirac–Coulomb operators	1
Discrete approximations to Dirac operators and norm resolvent convergence	1
Propagation of well-prepared states along Martinet singular geodesics	1
Weyl asymptotics for Poincaré–Steklov eigenvalues in a domain with Lipschitz boundary	1
Edge states for second order elliptic operators in a channel	1
Eigenvalues of the Kohn Laplacian and deformations of pseudohermitian structures on CR manifolds	1
Inertia of Kraus matrices	1
Counterexamples and weak (1,1) estimates of wave operators for fourth-order Schrödinger operators in dimension three	1
Spectral shift for relative Schatten class perturbations	1