Journal of Spectral Theory

Papers
(The median citation count of Journal of Spectral Theory is 0. 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 2021-04-01 to 2025-04-01.)
ArticleCitations
Pauli Hamiltonians with an Aharonov–Bohm flux12
Type problem, the first eigenvalue and Hardy inequalities11
Stability of Schur’s iterates and fast solution of the discrete integrable NLS10
Anderson localization for a generalized Maryland model with potentials given by skew shifts9
Lower bound of Schrödinger operators on Riemannian manifolds8
Construction of quasimodes for non-selfadjoint operators via propagation of Hagedorn wave-packets7
Integral representations of isotropic semiclassical functions and applications7
Sobolev improvements on sharp Rellich inequalities7
Eigenvalues of singular measures and Connes’ noncommutative integration6
Generalised norm resolvent convergence: comparison of different concepts6
Poisson transforms for trees of bounded degree6
The wave trace and Birkhoff billiards5
Deformation of the spectrum for Darboux–Treibich–Verdier potential along $\operatorname{Re}\tau=\frac{1}{2}$5
Eigenvalues of the Kohn Laplacian and deformations of pseudohermitian structures on CR manifolds5
Analysis on the derivative of the discriminant polynomial for the critical almost Mathieu operator4
Counting eigenvalues of Schrödinger operators using the landscape function4
Morse theory for discrete magnetic operators and nodal count distribution for graphs4
Exponential moments for disk counting statistics at the hard edge of random normal matrices4
Berezin–Toeplitz quantization associated with higher Landau levels of the Bochner Laplacian4
Erratum to “Asymptotic shape optimization for Riesz means of the Dirichlet Laplacian over convex domains”4
Weyl asymptotics for Poincaré–Steklov eigenvalues in a domain with Lipschitz boundary4
Invariant subspaces of elliptic systems II: Spectral theory3
Bounds on orthogonal polynomials and separation of their zeros3
A Faber–Krahn inequality for the Riesz potential operator for triangles and quadrilaterals3
Quantum ergodicity for pseudo-Laplacians3
On Lieb–Thirring inequalities for one-dimensional non-self-adjoint Jacobi and Schrödinger operators3
Spectral fluctuations for the multi-dimensional Anderson model3
On the spectrum of the periodic focusing Zakharov–Shabat operator3
A semiclassical Birkhoff normal form for symplectic magnetic wells3
Distinguished self-adjoint extension and eigenvalues of operators with gaps. Application to Dirac–Coulomb operators3
The harmonic $H^{\infty}$-functional calculus based on the $S$-spectrum3
Nodal domain theorems for $p$-Laplacians on signed graphs3
The fate of Landau levels under $\delta$-interactions3
A growth estimate for the monodromy matrix of a canonical system3
Absence of excited eigenvalues for Fröhlich type polaron models at weak coupling3
Spectral instabilities: variations on a theme loved by Brian Davies3
Maximal estimates for the Fokker–Planck operator with magnetic field3
Inequalities between Neumann and Dirichlet eigenvalues of Schrödinger operators2
Recovery of a time-dependent potential in hyperbolic equations on conformally transversally anisotropic manifolds2
The massless Dirac equation in two dimensions: zero-energy obstructions and dispersive estimates2
Ballistic transport for limit-periodic Schrödinger operators in one dimension2
Asymptotics of Robin eigenvalues on sharp infinite cones2
Bound states in bent soft waveguides2
Semiclassical Gevrey operators and magnetic translations2
Eigenvalues for a class of non-Hermitian tetradiagonal Toeplitz matrices2
Ergodic Schrödinger operators in the infinite measure setting2
Spectral invariants of Dirichlet-to-Neumann operators on surfaces2
Uniform resolvent estimates for the discrete Schrödinger operator in dimension three2
A probabilistic Weyl-law for perturbed Berezin–Toeplitz operators2
Discrete approximations to Dirac operators and norm resolvent convergence2
Phase transition in the integrated density of states of the Anderson model arising from a supersymmetric sigma model2
$2$-nodal domain theorems for higher-dimensional circle bundles2
A uniqueness result for the Calderón problem for $U(N)$-connections coupled to spinors2
Resolvent bounds for Lipschitz potentials in dimension two and higher with singularities at the origin2
Hadamard-type variation formulas for the eigenvalues of the $\eta$-Laplacian and applications2
Partial retraction of “Two-term, asymptotically sharp estimates for eigenvalue means of the Laplacian”1
Boundary superconductivity in the BCS Model1
Inequalities à la Pólya for the Aharonov–Bohm eigenvalues of the disk1
On the Landis conjecture for the fractional Schrödinger equation1
Spectral decimation of piecewise centrosymmetric Jacobi operators on graphs1
Jacobi matrices on trees generated by Angelesco systems: asymptotics of coefficients and essential spectrum1
Levinson’s theorem for two-dimensional scattering systems: It was a surprise, it is now topological!1
A proof of the triangular Ashbaugh–Benguria–Payne–Pólya–Weinberger inequality1
Sharp spectral stability for a class of singularly perturbed pseudo-differential operators1
Semiclassical estimates for measure potentials on the real line1
Spectral shift via “lateral” perturbation1
A sharp isoperimetric inequality for the second eigenvalue of the Robin plate1
On periodic and antiperiodic spectra of non-self-adjoint Dirac operators1
Concentration and non-concentration of eigenfunctions of second-order elliptic operators in layered media1
A quantitative formula for the imaginary part of a Weyl coefficient1
Spectrum of the Laplacian with mixed boundary conditions in a chamfered quarter of layer1
Manifolds whose Weyl spectral asymptotics have small but not tiny remainders1
Remarks on discrete Dirac operators and their continuum limits1
Mikhail Shubin (1944–2020)1
The density of states and local eigenvalue statistics for random band matrices of fixed width1
On spectral inclusion sets and computing the spectra and pseudospectra of bounded linear operators1
On the closure of the Airault–Mckean–Moser locus for elliptic KdV potentials via Darboux transformations1
Eigenfunction asymptotics and spectral rigidity of the ellipse1
Recovery of time-dependent coefficients from boundary data for hyperbolic equations1
Magnetic Lieb–Thirring inequalities on the torus1
Maximizing the ratio of eigenvalues of non-homogeneous partially hinged plates1
A theorem on the multiplicity of the singular spectrum of a general Anderson-type Hamiltonian1
Transfer matrix analysis of non-Hermitian Hamiltonians: asymptotic spectra and topological eigenvalues1
Spectral minimal partitions of unbounded metric graphs1
Lieb–Thirring and Jensen sums for non-self-adjoint Schrödinger operators on the half-line1
On the spectrum of the Sturm–Liouville problem with arithmetically self-similar weight1
The anisotropic Calderón problem on 3-dimensional conformally Stäckel manifolds1
The Friedrichs extension of a class of discrete symplectic systems0
Spectral properties of Schrödinger operators with locally $H^{-1}$ potentials0
Spectral structure of the Neumann–Poincaré operator on axially symmetric functions0
Trace class properties of the non homogeneous linear Vlasov–Poisson equation in dimension 1+10
Coverings preserving the bottom of the spectrum0
Lipschitz continuity of spectra of pseudodifferential operators in a weighted Sjöstrand class and Gabor frame bounds0
Limit theorems on the mesoscopic scale for the Anderson model0
Existence of metrics maximizing the first eigenvalue on non-orientable surfaces0
Eigenvalue estimates for the magnetic Hodge Laplacian on differential forms0
Range characterizations and Singular Value Decomposition of the geodesic X-ray transform on disks of constant curvature0
Dirichlet fractional Laplacian in multi-tubes0
Lieb–Thirring inequalities for an effective Hamiltonian of bilayer graphene0
Coexistence of absolutely continuous and pure point spectrum for kicked quasiperiodic potentials0
An extension of the Liouville theorem for Fourier multipliers to sub-exponentially growing solutions0
Quantitative magnetic isoperimetric inequality0
Inertia of Kraus matrices0
Spectral asymptotics and metastability for the linear relaxation Boltzmann equation0
Spectrum of the semi-relativistic Pauli–Fierz model II0
Regularity of the scattering matrix for nonlinear Helmholtz eigenfunctions0
Mathematical results on the chiral models of twisted bilayer graphene (with an appendix by Mengxuan Yang and Zhongkai Tao)0
Spectral analysis of an open $q$-difference Toda chain with two-sided boundary interactions on the finite integer lattice0
Analytic Besov functional calculus for several commuting operators0
Uniform decay of unimodal states and non-local Minami estimates for a class of Fermionic Anderson models with deterministic potentials0
Fractional Calderón problems and Poincaré inequalities on unbounded domains0
A comparison between Neumann and Steklov eigenvalues0
Higher order $\mathcal{S}^{p}$-differentiability: The unitary case0
Isospectrum of non-self-adjoint almost-periodic Schrödinger operators0
Dimitri Rauelevich Yafaev (1948–2024)0
Quantitative propagation of smallness and spectral estimates for the Schrödinger operator0
The $L^p$ boundedness of the wave operators for matrix Schrödinger equations0
Weyl laws for open quantum maps0
Spectral shift for relative Schatten class perturbations0
Spectral estimates for the Dirichlet Laplacian on spiral-shaped regions0
Failure of $L^p$ symmetry of zonal spherical harmonics0
Quantum evolution and sub-Laplacian operators on groups of Heisenberg type0
On inverse problems arising in fractional elasticity0
Szegő’s theorem for canonical systems: the Arov gauge and a sum rule0
Spectral analysis of 2D outlier layout0
Semiclassical study of shape resonances in the Stark effect0
Sharp Hardy’s inequalities in Hilbert spaces0
Three-term asymptotic formula for large eigenvalues of the two-photon quantum Rabi model0
Propagation of polyhomogeneity, diffraction, and scattering on product cones0
On topological bound states and secular equations for quantum-graph eigenvalues0
The pseudospectrum of an operator with Bessel-type singularities0
Carleman estimate for complex second order elliptic operators with discontinuous Lipschitz coefficients0
Edge states for second order elliptic operators in a channel0
The spectrum of self-adjoint extensions associated with exceptional Laguerre differential expressions0
Cheeger estimates of Dirichlet-to-Neumann operators on infinite subgraphs of graphs0
Inertia of Kwong matrices0
The Hartree functional in a double well0
On the spectrum of critical almost Mathieu operators in the rational case0
Periodic Jacobi operators with complex coefficients0
A Szegő type theorem and distribution of symplectic eigenvalues0
Eigenvalue estimates for the one-particle density matrix0
On spatial conditioning of the spectrum of discrete Random Schrödinger operators0
Perturbation determinants and discrete spectra of semi-infinite non-self-adjoint Jacobi operators0
Complete asymptotic expansions of the spectral function for symbolic perturbations of almost periodic Schrödinger operators in dimension one0
Tunneling effect in two dimensions with vanishing magnetic fields0
Upper eigenvalue bounds for the Kirchhoff Laplacian on embedded metric graphs0
Universal inequalities for Dirichlet eigenvalues on discrete groups0
Spectral convergence of high-dimensional spheres to Gaussian spaces0
Weak Hölder continuity of Lyapunov exponent for Gevrey quasi-periodic Schrödinger cocycles0
$L^p$-bounds for semigroups generated by non-elliptic quadratic differential operators0
Universal behavior of the BCS energy gap0
Trace class properties of resolvents of Callias operators0
Absence of bound states for quantum walks and CMV matrices via reflections0
Persistence and disappearance of negative eigenvalues in dimension two0
Spectral theory of Jacobi operators with increasing coefficients. The critical case0
Critical points of the Eisenstein series $E_{4}$ and application to the spectrum of the Lamé operator0
The Schwartzman group of an affine transformation0
Scattering theory with both regular and singular perturbations0
Magnetic Dirac operator in strips submitted to strong magnetic fields0
What is ballistic transport?0
Spectral summability for the quartic oscillator with applications to the Engel group0
Suprema of Lévy processes with completely monotone jumps: Spectral-theoretic approach0
Editors’ introduction0
Zero measure spectrum for multi-frequency Schrödinger operators0
Gelfand’s inverse problem for the graph Laplacian0
On the spectral properties of the Hilbert transform operator on multi-intervals0
Hardy inequalities for large fermionic systems0
Counterexamples and weak (1,1) estimates of wave operators for fourth-order Schrödinger operators in dimension three0
Spectral characteristics of Schrödinger operators generated by product systems0
Different completions of $A + CX$0
The $L^{p}$-boundedness of wave operators for fourth order Schrödinger operators on $\R^{4}$0
The Dirichlet-to-Neumann map, the boundary Laplacian, and Hörmander’s rediscovered manuscript0
Critical points of discrete periodic operators0
Improved sharp spectral inequalities for Schrödinger operators on the semi-axis0
Eigenfunctions growth of R-limits on graphs0
Resonance expansion for quantum walks and its applications to the long-time behavior0
Anderson localization for Schrödinger operators with monotone potentials over circle homeomorphisms0
Isoperimetric inequalities for inner parallel curves0
Lowest energy band function for magnetic steps0
Real diffusion with complex spectral gap0
Spectral isoperimetric inequalities for Robin Laplacians on 2-manifolds and unbounded cones0
Propagation of well-prepared states along Martinet singular geodesics0
Spectral theory of the thermal Hamiltonian: 1D case0
Johnson–Schwartzman gap labelling for ergodic Jacobi matrices0
Efficiency and localisation for the first Dirichlet eigenfunction0
Fine dimensional properties of spectral measures0
On the dynamics of quasi-periodic Schrödinger cocycles for positive measure sets of frequencies0
Scattering theory for $C^{2}$ long-range potentials0
Subordinacy theory on star-like graphs0
Invertibility issues for a class of Wiener–Hopf plus Hankel operators0
Scaling inequalities for spherical and hyperbolic eigenvalues0
Disjointness-preserving operators and isospectral Laplacians0
Dirac points for twisted bilayer graphene with in-plane magnetic field0
Self-adjointness of two-dimensional Dirac operators on corner domains0
On the Benjamin–Ono equation on $\mathbb{T}$ and its periodic and quasiperiodic solutions0
Jordan chains of elliptic partial differential operators and Dirichlet-to-Neumann maps0
Corrigendum to “Pauli Hamiltonians with an Aharonov–Bohm flux”0
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