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 2021-11-01 to 2025-11-01.)
ArticleCitations
A growth estimate for the monodromy matrix of a canonical system20
Discrete approximations to Dirac operators and norm resolvent convergence11
Spectral fluctuations for the multi-dimensional Anderson model9
Absence of excited eigenvalues for Fröhlich type polaron models at weak coupling9
Lower bound of Schrödinger operators on Riemannian manifolds9
The fate of Landau levels under $\delta$-interactions9
Uniform resolvent estimates for the discrete Schrödinger operator in dimension three8
Integral representations of isotropic semiclassical functions and applications8
A probabilistic Weyl-law for perturbed Berezin–Toeplitz operators8
Eigenvalue bounds for perturbed periodic Dirac operators7
Ballistic transport for limit-periodic Schrödinger operators in one dimension7
On periodic and antiperiodic spectra of non-self-adjoint Dirac operators6
On the closure of the Airault–Mckean–Moser locus for elliptic KdV potentials via Darboux transformations6
Spectrum of the Laplacian with mixed boundary conditions in a chamfered quarter of layer5
Inertia of Kraus matrices5
Spectral convergence of high-dimensional spheres to Gaussian spaces5
Reproving Friedlander’s inequality with the de Rham complex5
Failure of $L^p$ symmetry of zonal spherical harmonics5
Lowest energy band function for magnetic steps5
The Dirichlet-to-Neumann map, the boundary Laplacian, and Hörmander’s rediscovered manuscript5
Improved sharp spectral inequalities for Schrödinger operators on the semi-axis4
Three-term asymptotic formula for large eigenvalues of the two-photon quantum Rabi model4
Quantitative magnetic isoperimetric inequality4
Dimitri Rauelevich Yafaev (1948–2024)4
Spectral shift for relative Schatten class perturbations4
Perturbation determinants and discrete spectra of semi-infinite non-self-adjoint Jacobi operators4
The Hartree functional in a double well4
Quasiballistic transport for discrete one-dimensional quasiperiodic Schrödinger operators3
Semiclassical Gevrey operators and magnetic translations3
Nodal count for a random signing of a graph with disjoint cycles3
Weak Hölder continuity of Lyapunov exponent for Gevrey quasi-periodic Schrödinger cocycles3
Eigenvalues of the Kohn Laplacian and deformations of pseudohermitian structures on CR manifolds3
Recovery of a time-dependent potential in hyperbolic equations on conformally transversally anisotropic manifolds3
A semiclassical Birkhoff normal form for symplectic magnetic wells3
Sobolev improvements on sharp Rellich inequalities3
Spectral estimates of dynamically-defined and amenable operator families3
Weyl asymptotics for Poincaré–Steklov eigenvalues in a domain with Lipschitz boundary3
Pauli Hamiltonians with an Aharonov–Bohm flux3
Sharp spectral stability for a class of singularly perturbed pseudo-differential operators3
Eigenvalues of singular measures and Connes’ noncommutative integration3
Eigenvalue estimates for the magnetic Hodge Laplacian on differential forms3
Eigenfunction asymptotics and spectral rigidity of the ellipse2
Universal behavior of the BCS energy gap2
Localization on the quantum graph connecting the points of the lattice ${\Bbb Z}^{d}$2
Spectral decimation of piecewise centrosymmetric Jacobi operators on graphs2
Inertia of Kwong matrices2
Spectral summability for the quartic oscillator with applications to the Engel group2
Spectral characteristics of Schrödinger operators generated by product systems2
Tunneling effect in two dimensions with vanishing magnetic fields2
Quantitative propagation of smallness and spectral estimates for the Schrödinger operator2
Manifolds whose Weyl spectral asymptotics have small but not tiny remainders2
$2$-nodal domain theorems for higher-dimensional circle bundles2
A quantitative formula for the imaginary part of a Weyl coefficient2
The $L^p$ boundedness of the wave operators for matrix Schrödinger equations2
The Friedrichs extension of a class of discrete symplectic systems2
Absence of bound states for quantum walks and CMV matrices via reflections2
Spectral and dynamical results related to certain non-integer base expansions on the unit interval2
On the ground state of lattice Schrödinger operators2
A proof of the triangular Ashbaugh–Benguria–Payne–Pólya–Weinberger inequality2
A hot spots theorem for the mixed eigenvalue problem with small Dirichlet region2
On the number of bound states for fractional Schrödinger operators with critical and super-critical exponent2
Lipschitz continuity of spectra of pseudodifferential operators in a weighted Sjöstrand class and Gabor frame bounds2
Hardy inequalities for large fermionic systems2
The $L^{p}$-boundedness of wave operators for fourth order Schrödinger operators on $\R^{4}$2
Spectral analysis of Dirac operators for dislocated potentials with a purely imaginary jump1
The density of states and local eigenvalue statistics for random band matrices of fixed width1
A uniqueness result for the Calderón problem for $U(N)$-connections coupled to spinors1
The wave trace and Birkhoff billiards1
Several isoperimetric inequalities of Dirichlet and Neumann eigenvalues of the Witten Laplacian1
Complete asymptotic expansions of the spectral function for symbolic perturbations of almost periodic Schrödinger operators in dimension one1
A theorem on the multiplicity of the singular spectrum of a general Anderson-type Hamiltonian1
Scattering theory with both regular and singular perturbations1
Magnetic Dirac operator in strips submitted to strong magnetic fields1
Boundary superconductivity in the BCS Model1
The spectrum of the Poincaré operator in an ellipsoid1
Bound states in bent soft waveguides1
Spectral instabilities: variations on a theme loved by Brian Davies1
Quantum ergodicity for pseudo-Laplacians1
Upper eigenvalue bounds for the Kirchhoff Laplacian on embedded metric graphs1
Hadamard-type variation formulas for the eigenvalues of the $\eta$-Laplacian and applications1
Dirac points for twisted bilayer graphene with in-plane magnetic field1
Limit theorems on the mesoscopic scale for the Anderson model1
Sharp Hardy’s inequalities in Hilbert spaces1
Upper bound on the second Laplacian eigenvalue on real projective space1
A sharp isoperimetric inequality for the second eigenvalue of the Robin plate1
Eigenvalues for a class of non-Hermitian tetradiagonal Toeplitz matrices1
The Calderón problem revisited: Reconstruction with resonant perturbations1
Erratum to “Asymptotic shape optimization for Riesz means of the Dirichlet Laplacian over convex domains”1
Generalised norm resolvent convergence: comparison of different concepts1
Gelfand’s inverse problem for the graph Laplacian1
Invariant subspaces of elliptic systems II: Spectral theory1
Spectral shift via “lateral” perturbation1
Spectral estimates for the Dirichlet Laplacian on spiral-shaped regions1
Local perturbations of potential well arrays1
Concentration and non-concentration of eigenfunctions of second-order elliptic operators in layered media1
Spectral decomposition and Siegel–Veech transforms for strata: the case of marked tori0
Spectral isoperimetric inequalities for Robin Laplacians on 2-manifolds and unbounded cones0
Coverings preserving the bottom of the spectrum0
Bounds on orthogonal polynomials and separation of their zeros0
On inverse problems arising in fractional elasticity0
Critical points of discrete periodic operators0
Berezin–Toeplitz quantization associated with higher Landau levels of the Bochner Laplacian0
Persistence and disappearance of negative eigenvalues in dimension two0
$L^p$-bounds for semigroups generated by non-elliptic quadratic differential operators0
Lieb–Thirring and Jensen sums for non-self-adjoint Schrödinger operators on the half-line0
A Faber–Krahn inequality for the Riesz potential operator for triangles and quadrilaterals0
Bounds for eigenvalue sums of Schrödinger operators with complex radial potentials0
Scattering theory for $C^{2}$ long-range potentials0
An extension of the Liouville theorem for Fourier multipliers to sub-exponentially growing solutions0
Critical points of the Eisenstein series $E_{4}$ and application to the spectrum of the Lamé operator0
Semiclassical estimates for measure potentials on the real line0
Distinguished self-adjoint extension and eigenvalues of operators with gaps. Application to Dirac–Coulomb operators0
Resolvent bounds for Lipschitz potentials in dimension two and higher with singularities at the origin0
Corrigendum to “Pauli Hamiltonians with an Aharonov–Bohm flux”0
Higher order $\mathcal{S}^{p}$-differentiability: The unitary case0
Deformation of the spectrum for Darboux–Treibich–Verdier potential along $\operatorname{Re}\tau=\frac{1}{2}$0
Erratum to “Critical points of discrete periodic operators”0
Explicit construction of matrix-valued orthogonal polynomials of arbitrary size0
Zero measure spectrum for multi-frequency Schrödinger operators0
The harmonic $H^{\infty}$-functional calculus based on the $S$-spectrum0
On spectral inclusion sets and computing the spectra and pseudospectra of bounded linear operators0
Propagation of well-prepared states along Martinet singular geodesics0
On the effects of small perturbation on low energy Laplace eigenfunctions0
On the spectrum of the periodic focusing Zakharov–Shabat operator0
Dirichlet fractional Laplacian in multi-tubes0
Spectral asymptotics and metastability for the linear relaxation Boltzmann equation0
Weyl laws for open quantum maps0
Eigenfunctions growth of R-limits on graphs0
The wave kernel on asymptotically complex hyperbolic manifolds0
A comparison between Neumann and Steklov eigenvalues0
On topological bound states and secular equations for quantum-graph eigenvalues0
Johnson–Schwartzman gap labelling for ergodic Jacobi matrices0
Spectral theory of Jacobi operators with increasing coefficients. The critical case0
The $H^{\infty}$-functional calculus for bisectorial Clifford operators0
Counterexamples and weak (1,1) estimates of wave operators for fourth-order Schrödinger operators in dimension three0
The spectrum of self-adjoint extensions associated with exceptional Laguerre differential expressions0
Poisson transforms for trees of bounded degree0
Scaling inequalities for spherical and hyperbolic eigenvalues0
Analytic Besov functional calculus for several commuting operators0
The distribution of negative eigenvalues of Schrödinger operators on asymptotically hyperbolic manifolds0
Counting eigenvalues of Schrödinger operators using the landscape function0
Trace class properties of resolvents of Callias operators0
The anisotropic Calderón problem on 3-dimensional conformally Stäckel manifolds0
Propagation of polyhomogeneity, diffraction, and scattering on product cones0
Gap labels and asymptotic gap opening for full shifts0
Magnetic Lieb–Thirring inequalities on the torus0
Fractional Calderón problems and Poincaré inequalities on unbounded domains0
Phase transition in the integrated density of states of the Anderson model arising from a supersymmetric sigma model0
Levinson’s theorem for two-dimensional scattering systems: It was a surprise, it is now topological!0
Nodal domain theorems for $p$-Laplacians on signed graphs0
Mikhail Shubin (1944–2020)0
Strichartz estimates for the Schrödinger equation on compact manifolds with nonpositive sectional curvature0
On the spectral properties of the Hilbert transform operator on multi-intervals0
Analysis on the derivative of the discriminant polynomial for the critical almost Mathieu operator0
Inequalities à la Pólya for the Aharonov–Bohm eigenvalues of the disk0
On the spectrum of critical almost Mathieu operators in the rational case0
On existence of minimizers for weighted $L^{p}$-Hardy inequalities on $C^{1,\gamma}$-domains with compact boundary0
Singularities of the magnetic spectral shift function for potentials of variable sign0
Eigenvalue estimates for the one-particle density matrix0
Suprema of Lévy processes with completely monotone jumps: Spectral-theoretic approach0
Reflectionless Dirac operators and canonical systems0
Boundary spectral estimates for semiclassical Gevrey operators0
Spectrum of the semi-relativistic Pauli–Fierz model II0
Isospectrum of non-self-adjoint almost-periodic Schrödinger operators0
Spectral structure of the Neumann–Poincaré operator on axially symmetric functions0
Mathematical results on the chiral models of twisted bilayer graphene (with an appendix by Mengxuan Yang and Zhongkai Tao)0
Real diffusion with complex spectral gap0
On the dynamics of quasi-periodic Schrödinger cocycles for positive measure sets of frequencies0
Resonance expansion for quantum walks and its applications to the long-time behavior0
Sharp semiclassical spectral asymptotics for Schrödinger operators with non-smooth potentials0
Spectral analysis of an open $q$-difference Toda chain with two-sided boundary interactions on the finite integer lattice0
Cheeger estimates of Dirichlet-to-Neumann operators on infinite subgraphs of graphs0
Morse theory for discrete magnetic operators and nodal count distribution for graphs0
Spectral invariants of Dirichlet-to-Neumann operators on surfaces0
Lieb–Thirring inequalities for the shifted Coulomb Hamiltonian0
Spectral minimal partitions of unbounded metric graphs0
On the spectrum of the Sturm–Liouville problem with arithmetically self-similar weight0
The Schwartzman group of an affine transformation0
On the Landis conjecture for the fractional Schrödinger equation0
On the Benjamin–Ono equation on $\mathbb{T}$ and its periodic and quasiperiodic solutions0
Remarks on discrete Dirac operators and their continuum limits0
Regularity of the scattering matrix for nonlinear Helmholtz eigenfunctions0
What is ballistic transport?0
Exponential moments for disk counting statistics at the hard edge of random normal matrices0
Transfer matrix analysis of non-Hermitian Hamiltonians: asymptotic spectra and topological eigenvalues0
Editors’ introduction0
Construction of quasimodes for non-selfadjoint operators via propagation of Hagedorn wave-packets0
Asymptotics of Robin eigenvalues on sharp infinite cones0
Edge states for second order elliptic operators in a channel0
On spatial conditioning of the spectrum of discrete Random Schrödinger operators0
Type problem, the first eigenvalue and Hardy inequalities0
An inverse problem for the fractionally damped wave equation0
Subordinacy theory on star-like graphs0
Isoperimetric inequalities for inner parallel curves0
The pseudospectrum of an operator with Bessel-type singularities0
Spectral properties of Schrödinger operators with locally $H^{-1}$ potentials0
Carleman estimate for complex second order elliptic operators with discontinuous Lipschitz coefficients0
Anderson localization for Schrödinger operators with monotone potentials over circle homeomorphisms0
Uniform decay of unimodal states and non-local Minami estimates for a class of Fermionic Anderson models with deterministic potentials0
Asymptotics for the spectral function on Zoll manifolds0
Universal inequalities for Dirichlet eigenvalues on discrete groups0
Fine dimensional properties of spectral measures0
Stability of Schur’s iterates and fast solution of the discrete integrable NLS0
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