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 2021-08-01 to 2025-08-01.)
ArticleCitations
Absence of excited eigenvalues for Fröhlich type polaron models at weak coupling18
Lower bound of Schrödinger operators on Riemannian manifolds15
Integral representations of isotropic semiclassical functions and applications11
Spectral fluctuations for the multi-dimensional Anderson model9
The fate of Landau levels under $\delta$-interactions9
A growth estimate for the monodromy matrix of a canonical system9
A probabilistic Weyl-law for perturbed Berezin–Toeplitz operators8
Discrete approximations to Dirac operators and norm resolvent convergence8
Eigenvalue bounds for perturbed periodic Dirac operators7
Ballistic transport for limit-periodic Schrödinger operators in one dimension7
Uniform resolvent estimates for the discrete Schrödinger operator in dimension three7
Spectrum of the Laplacian with mixed boundary conditions in a chamfered quarter of layer6
Inertia of Kraus matrices6
On periodic and antiperiodic spectra of non-self-adjoint Dirac operators6
Failure of $L^p$ symmetry of zonal spherical harmonics5
The Hartree functional in a double well5
On the closure of the Airault–Mckean–Moser locus for elliptic KdV potentials via Darboux transformations5
The Dirichlet-to-Neumann map, the boundary Laplacian, and Hörmander’s rediscovered manuscript5
Dimitri Rauelevich Yafaev (1948–2024)5
Lowest energy band function for magnetic steps5
Spectral convergence of high-dimensional spheres to Gaussian spaces5
Existence of metrics maximizing the first eigenvalue on non-orientable surfaces5
Spectral shift for relative Schatten class perturbations4
Quantum evolution and sub-Laplacian operators on groups of Heisenberg type4
Quantitative magnetic isoperimetric inequality4
Three-term asymptotic formula for large eigenvalues of the two-photon quantum Rabi model4
Spectral estimates of dynamically-defined and amenable operator families4
Improved sharp spectral inequalities for Schrödinger operators on the semi-axis4
Perturbation determinants and discrete spectra of semi-infinite non-self-adjoint Jacobi operators4
Weak Hölder continuity of Lyapunov exponent for Gevrey quasi-periodic Schrödinger cocycles4
Eigenvalue estimates for the magnetic Hodge Laplacian on differential forms4
Weyl asymptotics for Poincaré–Steklov eigenvalues in a domain with Lipschitz boundary3
Eigenvalues of the Kohn Laplacian and deformations of pseudohermitian structures on CR manifolds3
Pauli Hamiltonians with an Aharonov–Bohm flux3
Semiclassical Gevrey operators and magnetic translations3
Sobolev improvements on sharp Rellich inequalities3
Eigenvalues of singular measures and Connes’ noncommutative integration3
A proof of the triangular Ashbaugh–Benguria–Payne–Pólya–Weinberger inequality3
A semiclassical Birkhoff normal form for symplectic magnetic wells3
Recovery of a time-dependent potential in hyperbolic equations on conformally transversally anisotropic manifolds3
$2$-nodal domain theorems for higher-dimensional circle bundles3
Quantitative propagation of smallness and spectral estimates for the Schrödinger operator2
Manifolds whose Weyl spectral asymptotics have small but not tiny remainders2
The $L^p$ boundedness of the wave operators for matrix Schrödinger equations2
Inertia of Kwong matrices2
Spectral characteristics of Schrödinger operators generated by product systems2
Gelfand’s inverse problem for the graph Laplacian2
Spectral theory of the thermal Hamiltonian: 1D case2
On the number of bound states for fractional Schrödinger operators with critical and super-critical exponent2
Spectral decimation of piecewise centrosymmetric Jacobi operators on graphs2
Universal behavior of the BCS energy gap2
A quantitative formula for the imaginary part of a Weyl coefficient2
The $L^{p}$-boundedness of wave operators for fourth order Schrödinger operators on $\R^{4}$2
The Friedrichs extension of a class of discrete symplectic systems2
Absence of bound states for quantum walks and CMV matrices via reflections2
Spectral summability for the quartic oscillator with applications to the Engel group2
Eigenfunction asymptotics and spectral rigidity of the ellipse2
On the ground state of lattice Schrödinger operators2
Sharp spectral stability for a class of singularly perturbed pseudo-differential operators2
Tunneling effect in two dimensions with vanishing magnetic fields2
Hardy inequalities for large fermionic systems2
Upper eigenvalue bounds for the Kirchhoff Laplacian on embedded metric graphs2
Lipschitz continuity of spectra of pseudodifferential operators in a weighted Sjöstrand class and Gabor frame bounds2
Magnetic Dirac operator in strips submitted to strong magnetic fields1
Hadamard-type variation formulas for the eigenvalues of the $\eta$-Laplacian and applications1
On spatial conditioning of the spectrum of discrete Random Schrödinger operators1
Boundary superconductivity in the BCS Model1
On the spectral properties of the Hilbert transform operator on multi-intervals1
Spectral instabilities: variations on a theme loved by Brian Davies1
Quantum ergodicity for pseudo-Laplacians1
A sharp isoperimetric inequality for the second eigenvalue of the Robin plate1
The density of states and local eigenvalue statistics for random band matrices of fixed width1
Sharp Hardy’s inequalities in Hilbert spaces1
Disjointness-preserving operators and isospectral Laplacians1
Eigenvalues for a class of non-Hermitian tetradiagonal Toeplitz matrices1
Scattering theory with both regular and singular perturbations1
Complete asymptotic expansions of the spectral function for symbolic perturbations of almost periodic Schrödinger operators in dimension one1
Anderson localization for a generalized Maryland model with potentials given by skew shifts1
Erratum to “Asymptotic shape optimization for Riesz means of the Dirichlet Laplacian over convex domains”1
Generalised norm resolvent convergence: comparison of different concepts1
Concentration and non-concentration of eigenfunctions of second-order elliptic operators in layered media1
Spectral estimates for the Dirichlet Laplacian on spiral-shaped regions1
A uniqueness result for the Calderón problem for $U(N)$-connections coupled to spinors1
Limit theorems on the mesoscopic scale for the Anderson model1
Several isoperimetric inequalities of Dirichlet and Neumann eigenvalues of the Witten Laplacian1
Dirac points for twisted bilayer graphene with in-plane magnetic field1
The spectrum of the Poincaré operator in an ellipsoid1
Bound states in bent soft waveguides1
Invariant subspaces of elliptic systems II: Spectral theory1
The wave trace and Birkhoff billiards1
A theorem on the multiplicity of the singular spectrum of a general Anderson-type Hamiltonian1
Spectral shift via “lateral” perturbation1
Morse theory for discrete magnetic operators and nodal count distribution for graphs0
Spectral decomposition and Siegel–Veech transforms for strata: the case of marked tori0
Trace class properties of resolvents of Callias operators0
Jacobi matrices on trees generated by Angelesco systems: asymptotics of coefficients and essential spectrum0
Johnson–Schwartzman gap labelling for ergodic Jacobi matrices0
What is ballistic transport?0
The anisotropic Calderón problem on 3-dimensional conformally Stäckel manifolds0
On Lieb–Thirring inequalities for one-dimensional non-self-adjoint Jacobi and Schrödinger operators0
On the Benjamin–Ono equation on $\mathbb{T}$ and its periodic and quasiperiodic solutions0
On the Landis conjecture for the fractional Schrödinger equation0
Regularity of the scattering matrix for nonlinear Helmholtz eigenfunctions0
Type problem, the first eigenvalue and Hardy inequalities0
Transfer matrix analysis of non-Hermitian Hamiltonians: asymptotic spectra and topological eigenvalues0
Corrigendum to “Pauli Hamiltonians with an Aharonov–Bohm flux”0
The harmonic $H^{\infty}$-functional calculus based on the $S$-spectrum0
On the spectrum of critical almost Mathieu operators in the rational case0
Spectral invariants of Dirichlet-to-Neumann operators on surfaces0
On the spectrum of the Sturm–Liouville problem with arithmetically self-similar weight0
Spectral isoperimetric inequalities for Robin Laplacians on 2-manifolds and unbounded cones0
Phase transition in the integrated density of states of the Anderson model arising from a supersymmetric sigma model0
Mikhail Shubin (1944–2020)0
Carleman estimate for complex second order elliptic operators with discontinuous Lipschitz coefficients0
Isoperimetric inequalities for inner parallel curves0
On spectral inclusion sets and computing the spectra and pseudospectra of bounded linear operators0
Mathematical results on the chiral models of twisted bilayer graphene (with an appendix by Mengxuan Yang and Zhongkai Tao)0
Weyl laws for open quantum maps0
Persistence and disappearance of negative eigenvalues in dimension two0
Analytic Besov functional calculus for several commuting operators0
Berezin–Toeplitz quantization associated with higher Landau levels of the Bochner Laplacian0
Eigenfunctions growth of R-limits on graphs0
Asymptotics for the spectral function on Zoll manifolds0
Poisson transforms for trees of bounded degree0
Scaling inequalities for spherical and hyperbolic eigenvalues0
On the dynamics of quasi-periodic Schrödinger cocycles for positive measure sets of frequencies0
Critical points of discrete periodic operators0
Bounds on orthogonal polynomials and separation of their zeros0
Real diffusion with complex spectral gap0
An extension of the Liouville theorem for Fourier multipliers to sub-exponentially growing solutions0
Lieb–Thirring and Jensen sums for non-self-adjoint Schrödinger operators on the half-line0
Levinson’s theorem for two-dimensional scattering systems: It was a surprise, it is now topological!0
Fractional Calderón problems and Poincaré inequalities on unbounded domains0
Higher order $\mathcal{S}^{p}$-differentiability: The unitary case0
Eigenvalue estimates for the one-particle density matrix0
Construction of quasimodes for non-selfadjoint operators via propagation of Hagedorn wave-packets0
Propagation of polyhomogeneity, diffraction, and scattering on product cones0
Subordinacy theory on star-like graphs0
Analysis on the derivative of the discriminant polynomial for the critical almost Mathieu operator0
Exponential moments for disk counting statistics at the hard edge of random normal matrices0
Distinguished self-adjoint extension and eigenvalues of operators with gaps. Application to Dirac–Coulomb operators0
Critical points of the Eisenstein series $E_{4}$ and application to the spectrum of the Lamé operator0
Propagation of well-prepared states along Martinet singular geodesics0
Remarks on discrete Dirac operators and their continuum limits0
Resolvent bounds for Lipschitz potentials in dimension two and higher with singularities at the origin0
On topological bound states and secular equations for quantum-graph eigenvalues0
Spectral theory of Jacobi operators with increasing coefficients. The critical case0
An inverse problem for the fractionally damped wave equation0
Fine dimensional properties of spectral measures0
A Szegő type theorem and distribution of symplectic eigenvalues0
Dirichlet fractional Laplacian in multi-tubes0
Spectral asymptotics and metastability for the linear relaxation Boltzmann equation0
Anderson localization for Schrödinger operators with monotone potentials over circle homeomorphisms0
Asymptotics of Robin eigenvalues on sharp infinite cones0
The spectrum of self-adjoint extensions associated with exceptional Laguerre differential expressions0
Stability of Schur’s iterates and fast solution of the discrete integrable NLS0
Spectral structure of the Neumann–Poincaré operator on axially symmetric functions0
A Faber–Krahn inequality for the Riesz potential operator for triangles and quadrilaterals0
Resonance expansion for quantum walks and its applications to the long-time behavior0
The $H^{\infty}$-functional calculus for bisectorial Clifford operators0
Coverings preserving the bottom of the spectrum0
Spectral minimal partitions of unbounded metric graphs0
Spectral analysis of an open $q$-difference Toda chain with two-sided boundary interactions on the finite integer lattice0
The pseudospectrum of an operator with Bessel-type singularities0
Scattering theory for $C^{2}$ long-range potentials0
Universal inequalities for Dirichlet eigenvalues on discrete groups0
$L^p$-bounds for semigroups generated by non-elliptic quadratic differential operators0
Recovery of time-dependent coefficients from boundary data for hyperbolic equations0
Strichartz estimates for the Schrödinger equation on compact manifolds with nonpositive sectional curvature0
Deformation of the spectrum for Darboux–Treibich–Verdier potential along $\operatorname{Re}\tau=\frac{1}{2}$0
The distribution of negative eigenvalues of Schrödinger operators on asymptotically hyperbolic manifolds0
Suprema of Lévy processes with completely monotone jumps: Spectral-theoretic approach0
On the spectrum of the periodic focusing Zakharov–Shabat operator0
Edge states for second order elliptic operators in a channel0
Nodal domain theorems for $p$-Laplacians on signed graphs0
Semiclassical estimates for measure potentials on the real line0
Magnetic Lieb–Thirring inequalities on the torus0
The Schwartzman group of an affine transformation0
Erratum to “Critical points of discrete periodic operators”0
Spectrum of the semi-relativistic Pauli–Fierz model II0
Editors’ introduction0
Inequalities à la Pólya for the Aharonov–Bohm eigenvalues of the disk0
Counterexamples and weak (1,1) estimates of wave operators for fourth-order Schrödinger operators in dimension three0
Zero measure spectrum for multi-frequency Schrödinger operators0
Spectral properties of Schrödinger operators with locally $H^{-1}$ potentials0
The wave kernel on asymptotically complex hyperbolic manifolds0
On inverse problems arising in fractional elasticity0
Isospectrum of non-self-adjoint almost-periodic Schrödinger operators0
Uniform decay of unimodal states and non-local Minami estimates for a class of Fermionic Anderson models with deterministic potentials0
Sharp semiclassical spectral asymptotics for Schrödinger operators with non-smooth potentials0
A comparison between Neumann and Steklov eigenvalues0
Counting eigenvalues of Schrödinger operators using the landscape function0
Cheeger estimates of Dirichlet-to-Neumann operators on infinite subgraphs of graphs0
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