OOIR: Observatory of International Research

Papers

(The median citation count of Integral Equations and Operator 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 2020-03-01 to 2024-03-01.)

Article	Citations
The Bi-Laplacian with Wentzell Boundary Conditions on Lipschitz Domains	11
Recovering the Shape of a Quantum Graph	10
Asymptotic Behavior of a Bingham Flow in Thin Domains with Rough Boundary	10
Spectral Determinants and an Ambarzumian Type Theorem on Graphs	7
On Functional Representations of Positive Hilbert Space Operators	7
Eigenvalue Clusters of Large Tetradiagonal Toeplitz Matrices	6
Arithmetic Progressions and Chaos in Linear Dynamics	6
Atomic and Wavelet Characterization of Musielak–Orlicz Hardy Spaces for Generalized Orlicz Functions	6
Submodules in Polydomains and Noncommutative Varieties	6
Improving Semigroup Bounds with Resolvent Estimates	5
Some Convergence Theorems for Operator Sequences	5
From Lieb–Thirring Inequalities to Spectral Enclosures for the Damped Wave Equation	5
Arithmetic–Geometric Mean and Related Submajorisation and Norm Inequalities for $$\tau $$-Measurable Operators: Part II	5
Shape Holomorphy of the Calderón Projector for the Laplacian in $${\mathbb {R}}^2$$	5
Conjugations in $$L^2(\mathcal {H})$$	5
Pusz–Woronowicz Functional Calculus and Extended Operator Convex Perspectives	5
Power Set of Some Quasinilpotent Weighted Shifts	4
Complex Symmetric Toeplitz Operators	4
Krylov Solvability of Unbounded Inverse Linear Problems	4
On the Order Determining Property of the Norm of a Kubo–Ando Mean in Operator Algebras	4
On Certain Order Properties of Non Kubo–Ando Means in Operator Algebras	4
On a Polyanalytic Approach to Noncommutative de Branges–Rovnyak Spaces and Schur Analysis	4
Arithmetic–Geometric Mean and Related Submajorisation and Norm Inequalities for $$\tau $$-Measurable operators: Part I	4
Products of Toeplitz and Hankel Operators on Fock Spaces	4
On the Properties of Quasi-periodic Boundary Integral Operators for the Helmholtz Equation	4

On the Dynamics of Lipschitz Operators	4
Dirac Integral Equations for Dielectric and Plasmonic Scattering	4
Quaternionic Regularity via Analytic Functional Calculus	3
Classes of Kernels and Continuity Properties of the Double Layer Potential in Hölder Spaces	3
Inverse Problem for a Stieltjes String Damped at an Interior Point	3
Difference of Weighted Composition Operators II	3
The Drury–Arveson Space on the Siegel Upper Half-space and a von Neumann Type Inequality	3
Non-Archimedean Radial Calculus: Volterra Operator and Laplace Transform	3
Higher-Order Operators on Networks: Hyperbolic and Parabolic Theory	3
On the Wandering Property in Dirichlet spaces	3
Norms of Weighted Composition Operators with Automorphic Symbol	3
Ambrosetti–Prodi Type Results for Dirichlet Problems of Fractional Laplacian-Like Operators	3
On Homotopy Invariants of Tensor Products of Banach Algebras	3
Real Operator Algebras and Real Positive Maps	3
Maximal Regularity for Non-autonomous Evolutionary Equations	3
A Sequence of Weighted Birman–Hardy–Rellich Inequalities with Logarithmic Refinements	3
Algebras of Convolution Type Operators with Continuous Data do Not Always Contain All Rank One Operators	3
Asymptotics and Estimates for Spectral Minimal Partitions of Metric Graphs	3
The Truncated Hamburger Moment Problems with Gaps in the Index Set	3
Unbounded Bergman Projections on Weighted Spaces with Respect to Exponential Weights	3
Nuclear Embeddings in Weighted Function Spaces	3
Sums of Dual Toeplitz Products on the Orthogonal Complements of the Fock Spaces	3
Representing Kernels of Perturbations of Toeplitz Operators by Backward Shift-Invariant Subspaces	3
Almost Invariant Subspaces of the Shift Operator on Vector-Valued Hardy Spaces	3
Global Propagator for the Massless Dirac Operator and Spectral Asymptotics	2
Variable Step Mollifiers and Applications	2
Pseudospectrum Enclosures by Discretization	2
Spectral Transition for Dirac Operators with Electrostatic $$\delta $$-Shell Potentials Supported on the Straight Line	2
The Agler Reducing Subspace for the Operator-Valued Inner Function Over the Bidisk	2
Bunce-Deddens Algebras as Quantum Gromov-Hausdorff Distance Limits of Circle Algebras	2
Hypergeometric Expression for the Resolvent of the Discrete Laplacian in Low Dimensions	2
Traces on Operator Ideals Defined over the Class of all Banach Spaces and Related Open Problems	2
Commutant Lifting and Nevanlinna–Pick Interpolation in Several Variables	2
Furstenberg Boundary of Minimal Actions	2
Representations of $$C^{*}$$-Algebras Associated with Noncommutative Polyvarieties	2
Interpolating Matrices	2
High-Frequency Estimates on Boundary Integral Operators for the Helmholtz Exterior Neumann Problem	2
Direct and Inverse Spectral Problems for Rank-One Perturbations of Self-adjoint Operators	2
Functional Models of Operators and Their Multivalued Extensions in Hilbert Space	2
Commutative Algebras Generated by Toeplitz Operators on the Unit Sphere	2
Conjugations Preserving Toeplitz Kernels	2
On Semigroups Generated by Sums of Even Powers of Dunkl Operators	2
Reproducing Kernel Hilbert Spaces of Polyanalytic Functions of Infinite Order	2
Cyclic Vectors, Outer Functions and Mahler Measure in Two Variables	2
Essential m-dissipativity for Possibly Degenerate Generators of Infinite-dimensional Diffusion Processes	2
Spectral Asymptotics of the Dirichlet Laplacian on a Generalized Parabolic Layer	2
Some Sufficient Conditions for Compactness of Linear Hammerstein Integral Operators and Applications	2
A Trace Inequality for Commuting d-Tuples of Operators	2
Some Operator Ideal Properties of Volterra Operators on Bergman and Bloch Spaces	1
Backward Extensions of Weighted Shifts on Directed Trees	1

The Twisted Hilbert Space Ideals	1
Isomorphic Well-Posedness of the Final Value Problem for the Heat Equation with the Homogeneous Neumann Condition	1
A New Characterization of Carleson Measures on the Unit Ball of $${\mathbb {C}}^n$$	1
$$\varvec{m}$$–Isometric Composition Operators on Directed Graphs with One Circuit	1
Correction to: Weak Product Spaces of Dirichlet Series	1
Strongly Mixing Convolution Operators on Fréchet Spaces of Entire Functions of a Given Type and Order	1
Coupled Domain-Boundary Variational Formulations for Hodge–Helmholtz Operators	1
Toeplitz Operators, $$\mathbb {T}^m$$-Invariance and Quasi-homogeneous Symbols	1
Toeplitz Operators on the Unit Ball with Locally Integrable Symbols	1
Essential Normality for Beurling-Type Quotient Modules over Tube-Type Domains	1
Commutative Algebras of Toeplitz Operators on the Bergman Space Revisited: Spectral Theorem Approach	1
Hyperrigidity of C*-Correspondences	1
On the Continuity of Strongly Singular Calderón–Zygmund-Type Operators on Hardy Spaces	1
Isometries of Analytic Function Spaces with $$N^{p}$$-Derivative	1
Joint Functional Calculus for Definitizable Self-adjoint Operators on Krein Spaces	1
Feynman’s Operational Calculus with Arbitrary Measures: An Evolution Equation in the General Case and Examples	1
Projective Limit Techniques for the Infinite Dimensional Moment Problem	1
Green’s Functions for First-Order Systems of Ordinary Differential Equations without the Unique Continuation Property	1
Bounds for Schrödinger Operators on the Half-Line Perturbed by Dissipative Barriers	1
The Angle Along a Curve and Range-Kernel Complementarity	1
An Improved Discrete p-Hardy Inequality	1
Inclusion Theorems for the Moyal Multiplier Algebras of Generalized Gelfand–Shilov Spaces	1
Matrix-Valued Truncated Toeplitz Operators: Unbounded Symbols, Kernels and Equivalence After Extension	1
Cyclicity Preserving Operators on Spaces of Analytic Functions in $${\mathbb {C}}^n$$	1
Mate–Nevai–Totik Theorem for Krein Systems	1
Triangulations of Operators with Two-Isometric Liftings	1
Asymptotic Behavior of Solutions of the Dirac System with an Integrable Potential	1
Best Constants in Weighted Estimates for Dyadic Shifts	1
Path Components of the Space of (Weighted) Composition Operators on Bergman Spaces	1
Green Matrix Estimates of Block Jacobi Matrices II: Bounded Gap in the Essential Spectrum	1
Boundary Integral Operators for the Heat Equation in Time-Dependent Domains	1
Eigenvalues of K-invariant Toeplitz Operators on Bounded Symmetric Domains	1
The Coburn Lemma and the Hartman–Wintner–Simonenko Theorem for Toeplitz Operators on Abstract Hardy Spaces	1
Litte Hankel Operators Between Vector-Valued Bergman Spaces on the Unit Ball	1
Generalized Multipliers for Left-Invertible Operators and Applications	1
On the Eigenvalues of Spectral Gaps of Elliptic PDEs on Waveguides	1
Invariant Subspaces of the Integration Operators on Hörmander Algebras and Korenblum Type Spaces	1