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 2022-01-01 to 2026-01-01.)

Article	Citations
Heat Flow in Polygons with Reflecting Edges	11
Semiflows, Composition Semigroups, and the Approximation of Dirichlet-to-Neumann Semigroups	10
Dirac Operators with Infinite Mass Boundary Conditions on Unbounded Domains with Infinite Corners	9
A Sequence of Weighted Birman–Hardy–Rellich Inequalities with Logarithmic Refinements	7
Coupled Domain-Boundary Variational Formulations for Hodge–Helmholtz Operators	6
Questions About Extreme Points	5
Function theory on the annulus in the dp-norm	5
Boundary Integral Operators for the Heat Equation in Time-Dependent Domains	5
Recovering the Shape of an Equilateral Quantum Tree by Two Spectra	5
Ideal Structure of Nica-Toeplitz Algebras	5
Quasicentral Modulus and Self-similar Sets: A Supplementary Result to Voiculescu’s Work	4
Relative Topological Principality and the Ideal Intersection Property for Groupoid C*-Algebras	4
Discussing Semigroup Bounds with Resolvent Estimates	4
Horizontal Fourier Transform of the Polyanalytic Fock Kernel	4
Szegő Limit Theorem for Truncated Toeplitz Operators	4
Lifting Sylvester Equations: Singular Value Decay for Non-Normal Coefficients	4
Operators Which Preserve a Positive Definite Inner Product	4
Quasi Gelfand Triples	4
On Certain Order Properties of Non Kubo–Ando Means in Operator Algebras	3
Translation-invariant Operators in Reproducing Kernel Hilbert Spaces	3
Banach algebras of multiplication, Wiener-Hopf and Mellin convolution operators: Localization	3
On Exponential Splitting Methods for Semilinear Abstract Cauchy problems	3
Denjoy–Wolff Points on the Bidisk via Models	3
$$H^\infty $$-calculus for the Stokes operator with Hodge, Navier, and Robin boundary conditions on unbounded domains	3
Correction to: Volterra Type Operators Between Bloch Type Spaces and Weighted Banach Spaces	3

Positive and Negative Eigenfunction Expansion Results for Indefinite Sturm–Liouville Problems	3
Subinner-Free Outer Factorizations on an Annulus	3
Hilbert $$C^$$-Modules with Hilbert Dual and $$C^$$-Fredholm Operators	3
Five Open Problems on the Dirichlet-to-Neumann Operator with Variable Coefficients	3
The Double-Layer Potential for Spectral Constants Revisited	2
Publisher Correction: Five Open Problems on the Dirichlet-to-Neumann Operator with Variable Coefficients	2
Decay Rate of $$\varvec{\exp (A^{-1}t)A^{-1}}$$ on a Hilbert Space and the Crank–Nicolson Scheme with Smooth Initial Data	2
Harris’ Criterion and Hardy Inequalities on Graphs	2
The Heisenberg Group Action on the Siegel Domain and the Structure of Bergman Spaces	2
On the Continuity of Strongly Singular Calderón–Zygmund-Type Operators on Hardy Spaces	2
$$\varvec{q}$$-rational Functions and Interpolation with Complete Nevanlinna–Pick Kernels	2
Symmetries and Reflections from Composition Operators in the Disk	2
Essential m-dissipativity for Possibly Degenerate Generators of Infinite-dimensional Diffusion Processes	2
Sufficient Criteria for Stabilization Properties in Banach Spaces	2
Weighted Cuntz–Krieger Algebras	2
Generalized Wright Analysis in Infinite Dimensions	2
Reproducing Kernel Thesis of Hankel Operators on Weighted Hardy Spaces	2
Solving Continuous Time Leech Problems for Rational Operator Functions	2
Traces on Operator Ideals Defined over the Class of all Banach Spaces and Related Open Problems	2
Classes of Kernels and Continuity Properties of the Double Layer Potential in Hölder Spaces	2
Reproducing Kernel Hilbert Spaces of Polyanalytic Functions of Infinite Order	2
The Twisted Hilbert Space Ideals	2
$$C^*$$-Algebras Associated to Transfer Operators for Countable-to-One Maps	1
Some Operator Ideal Properties of Volterra Operators on Bergman and Bloch Spaces	1
On the Power Set of Quasinilpotent Operators	1
Large Perturbations of Nest Algebras	1
Essential Spectrum and Feller Type Properties	1
Subhomogeneous Operator Systems and Classification of Operator Systems Generated by $$\Lambda $$-Commuting Unitaries	1
On the Eigenvalues of Spectral Gaps of Elliptic PDEs on Waveguides	1
Integral Operators on Fock–Sobolev Spaces via Multipliers on Gauss–Sobolev Spaces	1
On Schrödinger operators with oblique transmission conditions on non-smooth curves	1
Local Spectral Multiplicity of Selfadjoint Couplings with General Interface Conditions	1
The Agler Reducing Subspace for the Operator-Valued Inner Function Over the Bidisk	1
Compressions of Selfadjoint and Maximal Dissipative Extensions of Non-densely Defined Symmetric Operators	1
Invariant Subspaces of Idempotents on Hilbert Spaces	1
Approximation of the Spectral Action Functional in the Case of $$\tau $$-Compact Resolvents	1
A New Systems Theory Perspective on Canonical Wiener-Hopf Factorization on the Unit Circle	1
Norms of Basic Operators in Vector Valued Model Spaces and de Branges Spaces	1
Limit Laws for R-diagonal Variables in a Tracial Probability Space	1
Correction to: Generalization of Schur’s Test and Its Application to a Class of Integral Operators on the Unit Ball of $$\mathbb {C}^n$$	1
A Quantum Harmonic Analysis Approach to Segal Algebras	1
Arithmetic Progressions and Chaos in Linear Dynamics	1
Various form closures associated with a fixed non-semibounded self-adjoint operator	1
Regular Ideals, Ideal Intersections, and Quotients	1
On Lieb–Thirring inequalities for multidimensional Schrödinger operators with complex potentials	1
Volume growth, big jump, and essential spectrum for regular Dirichlet forms	1
Fourier Multipliers and Pseudo-differential Operators on Fock-Sobolev Spaces	1
Stability Analysis of a Simple Discretization Method for a Class of Strongly Singular Integral Equations	1
Toeplitz Operators on the Unit Ball with Locally Integrable Symbols	1