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 2021-02-01 to 2025-02-01.)

Article	Citations
On Exponential Splitting Methods for Semilinear Abstract Cauchy problems	12
Green’s Functions for First-Order Systems of Ordinary Differential Equations without the Unique Continuation Property	11
Aluthge Operator Field and Its Numerical Range and Spectral Properties	9
Atomic and Wavelet Characterization of Musielak–Orlicz Hardy Spaces for Generalized Orlicz Functions	7
Realizations of Non-commutative Rational Functions Around a Matrix Centre, II: The Lost-Abbey Conditions	7
Dirac Integral Equations for Dielectric and Plasmonic Scattering	7
A Sequence of Weighted Birman–Hardy–Rellich Inequalities with Logarithmic Refinements	7
Transformations of Moment Functionals	7
Pseudospectrum Enclosures by Discretization	6
$$\hbox {L}^p$$ Spaces of Operator-Valued Functions	6
Essential Spectrum and Feller Type Properties	5
The Angle Along a Curve and Range-Kernel Complementarity	5
Restrictions on the Existence of a Canonical System Flow Hierarchy	5
Stability Analysis of a Simple Discretization Method for a Class of Strongly Singular Integral Equations	5
Coupled Domain-Boundary Variational Formulations for Hodge–Helmholtz Operators	5
Semiflows, Composition Semigroups, and the Approximation of Dirichlet-to-Neumann Semigroups	4
Representations of $$C^{*}$$-Algebras Associated with Noncommutative Polyvarieties	4
Fourier Multipliers and Pseudo-differential Operators on Fock-Sobolev Spaces	4
Heat Flow in Polygons with Reflecting Edges	4
Hilbert $$C^$$-Modules with Hilbert Dual and $$C^$$-Fredholm Operators	4
Eigenvalues of K-invariant Toeplitz Operators on Bounded Symmetric Domains	4
The Coburn Lemma and the Hartman–Wintner–Simonenko Theorem for Toeplitz Operators on Abstract Hardy Spaces	4
Projected Composition Operators on Pseudoconvex Domains	4
Translation-invariant Operators in Reproducing Kernel Hilbert Spaces	4
Horizontal Fourier Transform of the Polyanalytic Fock Kernel	3

$$\varvec{m}$$–Isometric Composition Operators on Directed Graphs with One Circuit	3
Conditions for Semi-Boundedness and Discreteness of the Spectrum to Schrödinger Operator and Some Nonlinear PDEs	3
Maximal Regularity for Non-autonomous Evolutionary Equations	3
$$L^p$$ and $$H^1$$ Boundedness of Oscillatory Singular Integral Operators with Hölder Class Kernels	3
Positive Semidefinite Maps on $$*$$-Semigroupoids and Linearisations	3
The Heisenberg Group Action on the Siegel Domain and the Structure of Bergman Spaces	3
On Semigroups Generated by Sums of Even Powers of Dunkl Operators	3
Reproducing Kernel Hilbert Spaces of Polyanalytic Functions of Infinite Order	3
Real Operator Algebras and Real Positive Maps	2
Projective Limit Techniques for the Infinite Dimensional Moment Problem	2
A New Characterization of Carleson Measures on the Unit Ball of $${\mathbb {C}}^n$$	2
Ideal Structure of Nica-Toeplitz Algebras	2
Minimal Realizations and Determinantal Representations in the Indefinite Setting	2
Relative Topological Principality and the Ideal Intersection Property for Groupoid C*-Algebras	2
A Derivative Formula for the Solid Cauchy Integral Operator and Its Applications	2
Correction to: Volterra Type Operators Between Bloch Type Spaces and Weighted Banach Spaces	2
Bounds for Schrödinger Operators on the Half-Line Perturbed by Dissipative Barriers	2
Pusz–Woronowicz Functional Calculus and Extended Operator Convex Perspectives	2
The Drury–Arveson Space on the Siegel Upper Half-space and a von Neumann Type Inequality	2
Boundary Integral Operators for the Heat Equation in Time-Dependent Domains	2
Feynman–Kac Formulas for Dirichlet–Pauli–Fierz Operators with Singular Coefficients	2
Sums of Dual Toeplitz Products on the Orthogonal Complements of the Fock Spaces	2
Submodules in Polydomains and Noncommutative Varieties	2
Unbounded Bergman Projections on Weighted Spaces with Respect to Exponential Weights	2
Conjugations Preserving Toeplitz Kernels	2
Global Propagator for the Massless Dirac Operator and Spectral Asymptotics	2
Dyadic Maximal Operators on Martingale Musielak–Orlicz Hardy Type Spaces and Applications	2
On the Dynamics of Lipschitz Operators	2
Norms of Basic Operators in Vector Valued Model Spaces and de Branges Spaces	2
Recovering the Shape of an Equilateral Quantum Tree by Two Spectra	2
Subhomogeneous Operator Systems and Classification of Operator Systems Generated by $$\Lambda $$-Commuting Unitaries	2
Difference of Weighted Composition Operators II	2
The Twisted Hilbert Space Ideals	2
Questions About Extreme Points	2
Arithmetic Progressions and Chaos in Linear Dynamics	1
Quasi Gelfand Triples	1
Invariant Subspaces of Idempotents on Hilbert Spaces	1
On a Polyanalytic Approach to Noncommutative de Branges–Rovnyak Spaces and Schur Analysis	1
Operators Which Preserve a Positive Definite Inner Product	1
Power-Series Summability Methods in de Branges–Rovnyak Spaces	1
C*-Envelope and Dilation Theory of Semigroup Dynamical Systems	1
On the Power Set of Quasinilpotent Operators	1
Can Dissipative Maxwell Systems have Open Disks of Eigenvalues ?	1
Some Operator Ideal Properties of Volterra Operators on Bergman and Bloch Spaces	1
Solving Continuous Time Leech Problems for Rational Operator Functions	1
Spectra for Toeplitz Operators Associated with a Constrained Subalgebra	1
Eigenvalue Clusters of Large Tetradiagonal Toeplitz Matrices	1
Correction to: Weak Product Spaces of Dirichlet Series	1
Numerical Ranges of Antilinear Operators	1
Limit Laws for R-diagonal Variables in a Tracial Probability Space	1

On Operator Valued Haar Unitaries and Bipolar Decompositions of R-diagonal Elements	1
On the Continuity of Strongly Singular Calderón–Zygmund-Type Operators on Hardy Spaces	1
Complex Symmetric Toeplitz Operators	1
Random Weighted Shifts on Hilbert Spaces of Analytic Functions	1
Representations and Regularity of Vector-Valued Right-Shift Invariant Operators Between Half-Line Bessel Potential Spaces	1
Bunce-Deddens Algebras as Quantum Gromov-Hausdorff Distance Limits of Circle Algebras	1
Some Sufficient Conditions for Compactness of Linear Hammerstein Integral Operators and Applications	1
Feynman’s Operational Calculus with Arbitrary Measures: An Evolution Equation in the General Case and Examples	1
Compressions of Selfadjoint and Maximal Dissipative Extensions of Non-densely Defined Symmetric Operators	1
Spectral Decompositions Arising from Atzmon’s Hyperinvariant Subspace Theorem	1
Traces on Operator Ideals Defined over the Class of all Banach Spaces and Related Open Problems	1
Tropical Reproducing Kernels and Optimization	1
Asymptotic Behavior of a Bingham Flow in Thin Domains with Rough Boundary	1
Regular Ideals, Ideal Intersections, and Quotients	1
Essential positivity for Toeplitz operators on the Fock space	1
Volterra-Type Discrete Integral Equations and Spectra of Non-self-adjoint Jacobi Operators	1
The Bi-Laplacian with Wentzell Boundary Conditions on Lipschitz Domains	1
Approximation of the Spectral Action Functional in the Case of $$\tau $$-Compact Resolvents	1
Shape Holomorphy of the Calderón Projector for the Laplacian in $${\mathbb {R}}^2$$	1
Quasicentral Modulus and Self-similar Sets: A Supplementary Result to Voiculescu’s Work	1
Asymptotic Behavior of Solutions of the Dirac System with an Integrable Potential	1